GEOMETRY:
I might just be slow but I don't understand what this question is asking at all. Can someone help?
Answer:
[tex]b = 90[/tex]
[tex]d = 100[/tex]
[tex]c = 80[/tex]
Step-by-step explanation:
The problem is asking for the values of the variables [tex]b[/tex], [tex]c[/tex], and [tex]d[/tex] in the given parallelogram with angles [tex]d\textdegree[/tex], [tex]c\textdegree[/tex], [tex](b-10)\textdegree[/tex], and [tex](b+10)\textdegree[/tex].
To solve for these variables, we can construct three equations using the knowledge that any two adjacent angles of a parallelogram are supplementary (their measures add to 180º).
The first equation shows that the top two angles are supplementary:
[tex]d\textdegree + c\textdegree = 180\textdegree[/tex]
The second equation shows that the bottom two angles are supplementary:
[tex](b-10)\textdegree + (b+10)\textdegree = 180\textdegree[/tex]
The third equations shows that the left two angles are supplementary:
[tex]d\textdegree + (b-10)\textdegree = 180\textdegree[/tex]
First, we can solve for [tex]b[/tex] in the second equation using simple algebraic manipulation.
[tex](b-10)\textdegree + (b+10)\textdegree = 180\textdegree[/tex]
[tex](b+b)\textdegree + (10-10)\textdegree = 180\textdegree[/tex]
[tex]2b\textdegree = 180\textdegree[/tex]
[tex]b\textdegree = 90\textdegree[/tex]
[tex]b = 90[/tex]
Using this [tex]b[/tex]-value, we can solve for [tex]d[/tex] by rewriting the third equation, plugging [tex]90[/tex] in for [tex]b[/tex]:
[tex]d\textdegree + (b-10)\textdegree = 180\textdegree[/tex]
[tex]d\textdegree + (90-10)\textdegree = 180\textdegree[/tex]
[tex]d\textdegree + 80\textdegree = 180\textdegree[/tex]
[tex]d\textdegree = 100\textdegree[/tex]
[tex]d = 100[/tex]
Finally, we can solve for [tex]c[/tex] in the first equation by plugging [tex]100[/tex] in for [tex]d[/tex]:
[tex]d\textdegree + c\textdegree = 180\textdegree[/tex]
[tex]100\textdegree + c\textdegree = 180\textdegree[/tex]
[tex]c\textdegree = 80\textdegree[/tex]
[tex]c = 80[/tex]
Graph the opposite of the ppposite of 2 on the number line. Click on the number line to
Identify the nynber localjon.
-3
-2
-1
0
1
2
3
4
PLEASE HELP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
B
Step-by-step explanation:
The number of girls in chorus is 5 more than 3 times the number of boys. If
there are 29 girls in the school chorus, how many boys are in chorus?
Answer:
Way too many
Step-by-step explanation:
(92)
TRANSLATE EACH PHRASE INTO AN ALGEBRAIC EXPRESSION
1) 4 times a number,increased by 11.
2) 8 times the sum of a number and 7.
3) 1 less than twice a number.
4) the sum of a number and 3 times that number.
5) 12 more than 5 times a number.
6) 16 increased by 1 more than a number.
7) 20 decreased by 5 less than a number.
8) 6 less than a number increased by 15.
Answer:
Step-by-step explanation:
Let the number be x then,
1) 4 * x + 11
2) 8 * (x + 7)
3) 2x - 1
4) x+ 3x
5) 5x + 12
6) 16 + 1 + x = 17 + x
7) 20 - ( x - 5) = 20 - x + 5 = 25 - x
8) x - 6 + 15 = x +9
Determine the domain of the following graph
Answer:
Step-by-step explanation:
1) The domain is related to the behaviour of the x
the graph started when x is -11 and finish when x is 1
so
D : [-11 ; 1]
or -11 ≤x ≤ 1
the range is related to the behavior of y
the graph start when y is -7 and finish when y = 0
Range : [-7;0]
or -7≤ y ≤ 0
Five hundred fifty students attended the assembly. If the ratio of boys to girls in the assembly was 6 to 5, how many girls attended the assembly?
Step-by-step explanation:
let, the ratio of boys and girls be 6x:5x
total student=550
now,
6x+5x=55011x=550x=550/11x=50number of girls who attended the assembly are 5x=5×50=2hope it helps.Answer:
hope it helps you have a good day
Exercise 1(a)
Write the first
six term of a A.P which
a=5, d=4
Answer:
5, 9, 13, 17, 21, 25
Step-by-step explanation:
Given a₁ = 5 and d = 4
Add d = 4 to the previous term, that is
a₁ = 5
a₂ = a₁ + 4 = 5 + 4 = 9
a₃ = a₂ + 4 = 9 + 4 = 13
a₄ = a₃ + 4 = 13 + 4 = 17
a₅ = a₄ + 4 = 17 + 4 = 21
a₆ = a₅ + 4 = 21 + 4 = 25
b) Sita had 50 sweets. She ate 10 sweets and gave 8 sweets to her brother. If she divided the rest of them among her 8 friends equally, how many sweets would each friend get
Answer:
4 sweets per friend
Step-by-step explanation:
so first you want to minus 10 sweets since she ate 10 leaving her with 40 sweets. then she gives 8 sweets to her brother leaving her with 32 sweets left. If you divide the remaining sweets ( 32 ) by 8 you get 4 sweets per friend
State the property of logarithms used to rewrite the expression:
logs 6 - logs 2 = log: 3
Answer:
[tex] log_{s}6 - log_{s}2 \\ = log_{s}( \frac{6}{2} ) \\ = log_{s}3[/tex]
-21:(-7)+4.(-7-12 =
CUANTOS ES??
One of the legs of a right triangle measures 8 cm and its hypotenuse measures 10 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
6
Step-by-step explanation:
delta math
The required measure of the other leg will be 6 cm in the given right triangle.
What is Pythagoras's theorem?Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
We have been given that one of the legs of a right triangle measures 8 cm and its hypotenuse measures 10 cm.
Let the measure of the other leg would be x cm.
According to Pythagoras's theorem,
⇒ c² = a² + b² ....(i)
As per the given question, we have
c = 10cm, a = 8 cm and b = x
Substitute the values in the above formula, and solve for x
⇒ 10² = 8² + x²
⇒ 100 = 64 + x²
⇒ x² = 100 - 64
⇒ x² = 36
⇒ x² = 6²
⇒ x = 6
Therefore, the required measure of the other leg will be 6 cm in the given right triangle.
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Directions: The Johnson family is redesigning their backyard this spring. They want to include a sandbox area,
a swing set area, a patio area, a pool area and a grill area. Their plans for the yard layout in feet is shown in the
figure below. Use the figure and your knowledge of polynomials, perimeter, and area to solve the following:
1) The formula for area is,
⇒ Area of rectangle = Length × Width
And, The formula for perimeter is,
⇒ Perimeter = 2 (Length + width)
2) An expression for the length of the south side of the yard is,
⇒ Length = (5x + 2) + (x² - 9) + (x² - 7x + 12)
3) The simply expression for the length of the south side of the yard is,
⇒ Length = 2x² - 2x + 5
4) An expression for the perimeter of the pool area is,
⇒ Perimeter = 2 ( (x² + 10) + (8x + 8) )
5) 5) The simply expression for the perimeter of the pool area is,
⇒ Perimeter = 2x² + 16x + 36
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The Johnson family is redesigning their backyard this spring. They want to include a sandbox area, a swing set area, a patio area, a pool area and a grill area.
Now,
1) The formula for area is,
⇒ Area of rectangle = Length × Width
And, The formula for perimeter is,
⇒ Perimeter = 2 (Length + width)
2) An expression for the length of the south side of the yard is,
⇒ Length = (5x + 2) + (x² - 9) + (x² - 7x + 12)
3) The simply expression for the length of the south side of the yard is,
⇒ Length = (5x + 2) + (x² - 9) + (x² - 7x + 12)
= 5x + 2 + x² - 9 + x² - 7x + 12
= 2x² - 2x + 5
4) An expression for the perimeter of the pool area is,
⇒ Perimeter = 2 ( (x² + 10) + (8x + 8) )
5) The simply expression for the perimeter of the pool area is,
⇒ Perimeter = 2 ( (x² + 10) + (8x + 8) )
= 2 (x² + 10 + 8x + 8)
= 2 (x² + 8x + 18)
= 2x² + 16x + 36
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Given the following system of equations, solve for 'x' and 'y.
2x - 15y = 139
-3x + 16 y = -176
Answer:
X=32, y=-5
Step-by-step explanation:
Amelie is making a recipe that uses 134 cups flour. She is making 212 times the original recipe. Amelie draws this model to represent the number of cups of flour she needs. How many cups of flour does Amelie need
Amelie needed 335 cups of flour for the recipe.
How is quantity calculated?The whole centre line length, as well as the construction's breadth and depth, must be multiplied in order to determine the required amount of quantity. Every time the main wall is attached to a cross wall, a partition, or a verandah, the centre line length will be halved at that intersection.Any number, variable, or algebraic combination of other numbers can be a quantity in a mathematical equation. Seven, ten, x, and the product of x and seven, or x + seven, are the four numbers in the equation x + 7 = 10.The unit price is the cost per unit of the product you are purchasing. The amount might be given per thing or per measurement type, such ounces, grammes, gallons, or litres.Given data :
She is making 2 1/2 or 2.5 times the original recipe.
Cups in original recipe= 134 cups
cups Amelie will need= 2.5 × 134
= 335 cups
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ACTIVITY 6: Modeling Real Life
A company is loading recliners and sofas onto a trailer that has a volume of about 3800 cubic feet. Each recliner takes up about 40 cubic feet and each sofa takes up about 80 cubic feet. The company wants the shipment to have at least 30 recliners and more than 25 sofas. Write and graph a system that represents the situation. Give one example of the numbers of recliners and sofas the company can have in the shipment.
The equation is 80x + 1200 = 3800. And the numbers of at least 30 recliners and 32 sofas the company can have in the shipment.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
A company is loading recliners and sofas onto a trailer that has a volume of about, 3800 cubic feet.
Each recliner takes up about 40 cubic feet and each sofa takes up about 80 cubic feet.
The company wants the shipment to have at least 30 recliners and more than 25 sofas.
The equation that represents the situation is,
80x + 40y = 3800,
where x is the volume of a sofa and y is the volume of a recliner.
If y = 30 then,
80x + 1200 = 3800
80x = 2600
x = 2600/80
x = 32.5
x ≈ 32
Therefore, 30 recliners and 32 sofas.
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x - y if X is -11 and y is 26
Answer: -37
Step-by-step explanation: -11-26
Solve&Share-
The store sells boxes of adhesive
bandages. The boxes have: 12, 15, 18, 20, 25, 36, 40, 45,
50, 64, 75, or 100 bandages per box.
Which boxes have bandages that can be separated
into 2 first-aid kits with no leftover bandages?
Which boxes have bandages that can be separated into
5 first-aid kits with no leftover bandages?
Which boxes have bandages that can be separated into
10 first-aid kits with no leftover bandages?
Therefore, there are 12 bandages in 2 boxes, which is the answer to the unitary method presented problem.
What is a unitary method?The term "unitary" refers to a single or separate unit or variable . As a result, this strategy's objective is to establish values in terms of a single unit. For instance, if a car travels 44 kilometres on two litres of gas, the unitary technique can be used to determine how many kilometers it will drive on one.
Here,
Given: Each box of bandages has three packs, with two bandages in each pack.
Now, determine how many bandages there are in two boxes.
Therefore, we solve using the unitary method:
One pack contains two bandages.
In 3 packs, there are therefore = 2*2 = 6 bandages.
One box contains three packs as stated.
Consequently, we multiply 2 by 6 to obtain the bandages in 2 boxes:
=> 2 * 6 = 12
Therefore, there are 12 bandages in 2 boxes, which is the answer to the unitary method's presented problem.
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PLS HELP I;LL GIVE BRASINLIEST
Answer:
C
Step-by-step explanation:
q3 - q1
7 -1 = 6
Answer:
6 is the IQR
Step-by-step explanation:
To determine the IQR, you need to evaluate the box. The first quartile starts at 1, and the third quartile ends at 7. To calculate IQR, subtract Q1 (1) from Q3 (7). So it would be 7 - 1 = 6
So your answer is 6.
What is the sum of the greatest common factor of $3$ and $6$ and the least common multiple of $3$ and $6$?
The sum of the greatest common factor (HCF) and least common multiple (LCM) of 3 and 6 is 9.
Highest common factor (HCF) and Least common multiple(LCM)The H.C.F. defines the highest common factor present in between given two or more numbers, while L.C.M. defines the least common multiple number which is exactly divisible by two or more numbers.
factors of 3 are 1 and 3
factors of 6 are 1, 2, 3, and 6
3 = 1 × 3
6 = 2 × 3
LCM = 2 × 3
LCM = 6
HCF = 3
sum of HCF and LCM of 3 and 6 = 3 + 6
sum of HCF and LCM of 3 and 6 = 9
Therefore, 9 is the sum of the greatest common factor HCF least common multiple LCM of 3 and 6.
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Park rangers plan to expand the area of a park to 506 square miles. Currently, the length of the park is 18 miles and the width is 17 miles. They want to extend the length and the width by the same number of miles. If they are successful, what will the new dimensions of the park be? Explain and I need this before tomorrow
As 200 is not a perfect square it is not possible to increase the dimensions of the park by the same number of miles.
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
We know the area of a rectangle is (length×width).
Given, Park rangers plan to expand the area of the park to 506 square miles.
Currently, the park has an area of (18×17) = 306 square miles.
Therefore, The amount of square miles they need to increase is (506 - 306)
= 200 miles.
Now, They also want to increase the length and the width by the same amount but 200 is not a perfect square so it is not possible to increase the dimensions by the same amount.
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the diagram shows a partly-filled oil tank.
3 m
2 m
5 m
the depth of oil present in the tank is 1.2m
1 cubic metre is equivalent to 1000 litres.
work out the quantity of oil in the tank.
give your answer in litres.
if you can please help !! i would really appreciate it. :)
Answer:
12,000 Litres
Step-by-step explanation:
From the measurements given in the figure, we can understand that the tank is cuboidal in shape.
Thus,
Volume of a cuboid = Width*Length*Height
Volume of Oil in the tank = 5 * 2 * 1.2
= 12 cubic metres
1 cubic metre = 1000 litres
12 cubic metres = 12,000 litres
Hope it helps (:
The two congruent angles of an isosceles triangle are called _____ angles.
Answer:
isosceles triangles have two congruent acute angles
An investment of $1,500 is earning 7% simple interest each year. How much will the investment be worth after one year?
A.$105
B.$1,605
C.$2,550
D.$10,500
Answer:
B
Step-by-step explanation:
1500 * 0.07 = 105
105 + 1500 = 1605
A student has two different samples of soils. She drops a small amount of water on each sample and squeezes the soil in her hand. Her results are shown below. one hand shown holding crumbly soil, the other hand with soil held together and smooth Which statement best describes this test? A. The student is testing each soil's permeability, and soil X is more permeable than soil Y. B. The student is testing each soil's porosity, and soil Y is more porous than soil X. C. The student is testing each soil's texture, and soil Y has more clay than soil X. D. The student is testing each soil's minerals, and soil X has more minerals than soil Y.
The student is testing each soil's permeability, and soil X is more permeable than soil Y. The correct option is A.
What is an experimental approach?An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.
Porosity can be defined as the quality of the material having pores or holes. The permeability can be defined as the state or quality of a material that allows liquids or gases to pass through it.
The soil which does not hold much water can be considered of high porosity and high permeability. As it is only possible if the soil has a large number of pores and it is not in compact form.
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NEED HELP ASAP - Algebra 2
Every complex number has the form a+bi with a and b as real numbers. Is it possible to create a complex number in which b=0? If so, create two examples to show your hypothesis is true. If not, explain why it is not possible.
Your response must be at least 50 words.
No, It is not possible to have a complex number in the form of a + bi when b = 0.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Complex number.
It is in the form of a + ib.
Where a and b are real numbers.
Now,
If b = 0 then we can not have a complex number.
Example:
a + bi
a = 1 and b = 0
1 + 0i = 1 which is not a complex number.
In order to have a complex number a can be any real number and 0 but b can not be a zero.
Thus,
It is not possible to have a complex number in the form of a + bi when
b = 0.
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An app for your cell phone cost 4.99 but it is discounted 55% off on your birthday if tax is still charged at a rate of 1% what would be the final cost of the app?
Mason has 2 cups of peanut
butter. He is making peanut butter
sandwiches. If he uses a cup of
peanut butter in each sandwich,
how many sandwiches can he
make?
[?] sandwiches
Simplify your answer.
Enter
Please help!!! NO LINKS PLEASE! Links will be reported. I'll pick Brainliest to the person that explains!
There were two parts I got 36pie for the first.
Part two: A circular frame that is 3-inches wide surrounds the mirror. What Is the combined area in square inches of the circular mirror(36pie) and the frame?
Answer:
81π sq. in.
Step-by-step explanation:
A = 36π = [tex]\pi r^{2}[/tex]
[tex]r^{2}[/tex] = 36
r = 6 = radius of the mirror
Add 3 to the 6 to get the radius(R) including the frame
R = 9
A = [tex]\pi 9^{2}[/tex] = 81π sq. in.
The two spinners below are spun. Find the probability of spinning a 4 and a C.
Step-by-step explanation:
S = { 1, 2, 3, 4, 5, 6 7, 8 }
n ( S ) = 8
Let A be the event of getting 4,
A = { 4 }
n ( A ) = 1
P ( A )
= n ( A ) / n ( S )
= 1 / 8
Therefore, the probability of spinning a 4 is 1 / 8.
S = { A, B, A, C, A, B }
n ( S ) = 6
Let Y be the event of getting C,
Y = { C }
n ( Y ) = 1
P ( Y )
= n ( Y ) / n ( S )
= 1 / 6
Therefore, the probability of spinning a C is 1 / 6.