Answer + Step-by-step explanation:
1) D be the symmetric of B with respect to C then CD = BC
A the symmetric of C with respect to B then AB = BC
We obtain :
CD = BC
AB = BC
Then AB = CD
2) m∠SBA = 180 - SBC = 180 - SCB = m∠SCD
3) we have :
BA = CD
BS = CS
m∠SBA = m∠SCD
Then
the triangles SBA and SCD are congruent
4)
the triangles SBA and SCD are congruent Then SA = SD
Therefore SAD is an isosceles triangle.
Answer:
its SAD
Step-by-step explanation:
I did the test
Simplify the algebraic expression below. m + m + m + m + m + m − m + m - m = __?
Answer:
Simplify the following:
m + m + m + m + m + m - m + m - m
m + m + m + m + m + m - m + m - m = 5 m:
Answer: 5 m
Step-by-step explanation:
Answer:
m=5
Step-by-step explanation:
Two angles are complementary.The larger angle is 30 degrees more than 4 times the smaller
angle find the measure of each angle
Define variables
Answer:
Step-by-step explanation:
Remark
2 angles are complementary means that 2 angles add up to 90°. That is the guiding princeple behind the problem.
Givens
Let the smallest angle = x
Let the largest angle = 4x + 30
Equation
4x + 30° + x = 90° Combine like terms on the left
Solution
5x + 30 = 90 Subtract 30 from both sides.
5x + 30 - 30 = 90 - 30 Combine
5x = 60 Divide both sides by 5
5x/5 = 60/5
x = 12
Answer
smallest angle = 12Larger angle = 4*12 + 30 = 78what is 7x7+89 i want to know what the b is to
Answer:
138
Step-by-step explanation:
According to PEMDAS (explains which operation you do first)
(Parentheses
Exponents
Multiplication or Division
Addition or Subtraction),
1. multiplication comes before addition
2. Even if it was 89+7x7, it would still be 7x7 first.
3. 7x7=49. Add it to 89 and you get 138
Find the equation of the line shown (first to do gets brainlist)
Answer:
y = -2x + 9
Step-by-step explanation:
Suppose that algeria has a workforce of 9,416,534, each of whom earns an average annual salary of (equivalent us dollars) $6,844. if the algerian government wishes to raise $9 billion in tax revenue, approximately where should it set the income tax rate? a. 9% b. 14% c. 18% d. 26% please select the best answer from the choices provided a b c d
The income tax rate is 14% if the Algerian government wishes to raise $9 billion in tax revenue and has a workforce of 9,416,534.
What is the income tax rate?It is defined as the tax rate applied on the solely earned money by a single entity.
Algeria has a workforce of 9,416,534
Each entity average annual salary = $6,844
The raise in tax revenue = $ 9 bilion
To find the income tax rate we must find the total income of the workforce,
= 9,416,534×6844
= $64.45 billion
Now for income tax:
[tex]\rm = \frac{Tax \ revenue}{Total \ income}[/tex]
[tex]=\rm \frac{9 \ billion}{64.45 \ billion}\times 100[/tex]
≈ 14 %
Thus, the income tax rate is 14% if the Algerian government wishes to raise $9 billion in tax revenue.
Learn more about the income tax here:
https://brainly.com/question/17075354
Answer these questions it’s for my math! Please do all the days!
Day 1
how many times do you flush the toilet?
how many mins do you shower?
How many mins do you use the kitchen faucet?
How many mins do you use for the bathroom faucet?
How many times do you use the dishwasher?
How many times do you use the laundry machine?
Day 2
how many times do you flush the toilet?
how many mins do you shower?
How many mins do you use the kitchen faucet?
How many mins do you use for the bathroom faucet?
How many times do you use the dishwasher?
How many times do you use the laundry machine?
Day 3
how many times do you flush the toilet?
how many mins do you shower?
How many mins do you use the kitchen faucet?
How many mins do you use for the bathroom faucet?
How many times do you use the dishwasher?
How many times do you use the laundry machine?
Answer:
Day 1
4 times
8 mins
1 time
0 times
1 time
0 times ( I never use it)
Day 2
2 times
5.30 mins
0 times
2 times
0 times
0 times
Day 3
5 times
0 mins
0 times
2 times
1 time
0 times
Step-by-step explanation:
Hope it helped you
In which year did Carlos and Andrew have the largest difference in their salaries?
2003
2004
2005
2006
Answer:
the answer to this is D. 2006
Please help! Will mark brainlyest.
complete the function table and write the function rule
Answer:
6 and -22
Step-by-step explanation:
See attached image.
The function rule for the linear function is y = y = x - 12
The missing values are: x = 6; and y = -22.
What is a Linear Function Rule?Where, m is the average rate of change, and b is the initial value when x is 0, therefore, a linear function rule is given as, y = mx + b.
Find m and b using the table of values given.
Using (32, 20) and (14, 2):
Average rate of change (m) = change in y / change in x = (20 - 2)/(32 - 14)
Average rate of change (m) = 18/18 = 1.
Find b by substituting m = 1 and (x, y) = (14, 2) into y = mx + b
2 = 1(14) + b
2 = 14 + b
2 - 14 + b
-12 = b
b = -12
Write the rule of the linear function by substituting m = 1 and b = -12 into y = mx + b
y = 1(x) + (-12)
y = x - 12
Find the missing values on the table
Fourth Row: when y = -6
-6 = x - 12
-6 + 12 = x
x = 6
Last Row: when x = -10
y = -10 - 12
y = -22
Therefore, the function rule for the linear function is y = y = x - 12
The missing values are: x = 6; and y = -22.
Learn more about linear function rule on:
https://brainly.com/question/4025726
. The ratio of the measures of the sides of a
triangle is 4:7:5. If the perimeter of the
triangle is 128 yards, find the length of the
longest side.
Step-by-step explanation:
4+7+5=16
128:16=8
8*7=56 yards
Can anyone solve this today?
Answer:
C
Step-by-step explanation:
The area of a square is the square of the side length. When the side length x=2.5 cm, the area is the square of that value.
__
A(x) = x²
A(2.5 cm) = (2.5 cm)² = 6.25 cm²
_____
Additional comment
The "square" of a variable is that variable to the second power. The terms 2x or 4x are linear terms with the variable to the first power, do not represent the area of a square.
The equation A(x) = 4x² introduces a multiplier of 4 that is not applicable to the area of a square based on side length. (The formula might be useful if x represents the distance from one side to the center of the square, the radius of an inscribed circle, for example.)
what is p to the power of 2
Answer:
It really depends if there is more work with this, but of it is just p to the power of two. it would be p².
The sections of a spinner are divided into five
equal sections and are lettered A to E. Myla spins
the pointer of the spinner once and rolls a number
cube numbered 1 to 6. What is the probability of
landing on B and rolling an even number?
Answer: 0.066, or a 6.6% Statistical Probability.
Step-by-step explanation:
When dealing with Statistical Probability, you are attempting to find the theoretical chance of an action occuring.
With the two actions described, one being a wheel with five set outcomes, and a dice with six set outcomes, you can find the probability of random numbers/outcomes by taking
[tex]\frac{1}{6} \\and\\\frac{1}{5}[/tex]
1/6 being number cube, 1-2-3-4-5-6
and
1/5 being spinner. A-B-C-D-E
In the Event, (made up by actions), it is described that The Cube AND Spinner are rolled and spun at random.
Also, The description asks: what is the probability of landing on B and rolling an even number?
So, the 1/6 chance of the dice becomes 1/3, or .33 or 33%.
And, the 1/5 chance for the spinner stays the same, because it is a single unit. So, probability of landing on B is still 1/5, or .2 or 20%.
When two actions are present in an Event, you are to procedurally multiply the outcomes by the decimal percentage, fraction, or actual percentage, to find the chance of occurence.
In this scenario, I used .2 x .33 and got 0.066
Which, equals 6.6%
I found this by multiplying the decimal percentage by 100, to scale the chance on a 100/100 based scale. In this case, the multiplier on the numerator is .066 ... creating 6.6/100, or .066 or 6.6%
Hope this Helped!
pls help this is past due and I have no idea on how to do it
Answer:
42.3
Step-by-step explanation:
Substitute in values[tex]3.6\times (3)+4.5\times (7) = 10.8+31.5=42.3[/tex]Ten friends played slot machines in Las Vegas. Their average loss was $60 and the standard deviation of the loss was $10. What does the standard deviation of $10 mean
Using it's concept, it is found the standard deviation of $10 means that most students spent within $10 of the mean of $60 on the slot machines.
What is the standard deviation of a data-set?The standard deviation is given by the square root of the sum of the differences squared of each observation and the mean, divided by the one less than the number of values.It represents by around how much the distribution varies around the mean.Hence, in this problem, the standard deviation of $10 means that most students spent within $10 of the mean of $60 on the slot machines.
More can be learned about standard deviation at https://brainly.com/question/24754716
Which one is the correct answer, a b c d
[tex]g(f(x))=\sqrt{\frac{2301+100x^2}{23+x^2} }[/tex]
Step-by-step explanation:[tex]Substitute\ and\ calculate:\\ \downarrow\\ g(f(x))=\sqrt{\frac{2301+100x^2}{23+x^2} }[/tex]
I hope this helps you
:)
What is the equation of the line that passes through the point (1, 3) and is perpendicular to the line 2x + 3y = 15?
Answer:
first, we need to know the gradient of the line, 2x+3y=15
Gradient of the line is -2/3
from 3y=-2x+15
Y=-2x/3+5
Step-by-step explanation:
new gradient will be 3/2 since the initial gradient is perpendicular to the new one
therefore, considering the general equation of the line, y-y1=m(x-x1)
where y1=3 and x1=1
we can therefore substitute in the values into the above equation
so, y-3=3/2(x-1)
y-3=3x/2-3/2
2y-6=3x-3
2y-3x=-3+6
2y-3x=3
therefore, the equation of the line perpendicular to line 2x+3y=15 is 3x-2y=-3
What is the solutior to the equation 5j = 2/3
Answer:
j = 0.13333333333
j = 4/30
just divide both sides by 5 my friend
Using side lengths only, could the triangles be similar?
Answer:
Option A
Step-by-step explanation:
Step 1: Compare the sides
We can see that it was rotated in a way where Y is similar to R, X is similar to Q, and Z is similar to S.
[tex]\frac{SQ}{XZ }\neq \frac{QR}{XY} \neq \frac{RS}{YZ}[/tex]
[tex]\frac{0.5}{1}\neq \frac{1}{1.5}\neq \frac{1.5}{2}[/tex]
[tex]0.5\neq 0.6667\neq 0.75[/tex]
Answer: Option A
One year, sales increased by 15%. The following year sales increased by 18%. Calculate the overall percentage increase in sales.
Answer:
35.7%
Step-by-step explanation:
Sales increase in Year 1
Let the original sales be xSales has increased by 15%Therefore, new sales will be :Original sales + Original sales x 15%⇒ x (1 + 15%)⇒ x (1 + 0.15)⇒ x (1.15)⇒ 1.15xSales increase in Year 2
From Year 1, it has increased by 18%New sales will be :Year 1 sales + Year 1 sales x 18%⇒ 1.15x (1 + 18%)⇒ 1.15x (1 + 0.18)⇒ 1.15x (1.18)⇒ 1.357xOverall Increase
Year 2 sales - Original sales / Original sales1.357x - x / x0.357x / x0.357Decimal to % ⇒ x 100%0.357 x 100%35.7%Let the sales be known as "a".
Given statement:
One year, sales increased by 15%.
This can be written as:Year 1 = a + (a × 15%)Step-1: Evaluate the percentage⇒ Year 1 = a + (a × 15%)⇒ Year 1 = a + (a × 15/100)Step-2: Multiply the terms inside the parentheses⇒ Year 1 = a + (a × 15/100)⇒ Year 1 = a + (15a/100)Step-3: Open the parentheses⇒ Year 1 = a + (15a/100)⇒ Year 1 = 100a/100 + 15a/100Step-4: Add the like terms;⇒ Year 1 = 100a/100 + 15a/100⇒ Year 1 = 115a/100Next year (Year 2):Given statement:
The following year sales increased by 18%.
This can be written as:Year 2 = Year 1 + (Year 1 × 18%) Step-1: Substitute the amount of sales in year 1:⇒ Year 2 = Year 1 + (Year 1 × 18%) ⇒ Year 2 = 115a/100 + (115a/100 × 18/100)Step-2: Simplify the fractions in the parentheses:⇒ Year 2 = 115a/100 + (115a/100 × 18/100)⇒ Year 2 = 115a/100 + (23a/20 × 9/50)Step-3: Multiply the fractions in the parentheses:⇒ Year 2 = 115a/100 + (23a/20 × 9/50)⇒ Year 2 = 1150a/1000 + (207a/1000)Step-4: Open the parenthesis:⇒ Year 2 = 1150a/1000 + (207a/1000)⇒ Year 2 = 1150a/1000 + 207a/1000Step-5: Add the fractions:⇒ Year 2 = 1150a/1000 + 207a/1000⇒ Year 2 = 1357a/1000Overall percentage increase:Formula:
Overal percentage increase = (Sales in year 2 - Original sales) × 100
Step-1: Substitute the values in the equation:⇒ Overal percentage increase = (Sales in year 2 - Original sales) × 100⇒ Overal percentage increase = (1357a/1000 - a) × 100Step-2: Simplify the expression in the parentheses:⇒ Overal increase = (1357a/1000 - a) × 100⇒ Overal increase = (1357a/1000 - 1000a/1000) × 100⇒ Overal increase = (357a/1000) × 100Step-3: Open the parentheses and simplify:⇒ Overal increase = (357a/1000) × 100⇒ Overal increase = 357a/10 ⇒ Overal increase = 35.7aStep-4: Determine the overal increase in percentage:⇒ Overal increase = 35.7a⇒ Overal percentage increase = 35.7%Therefore, the overal increase in percent is 35.7%.
Pam signed up for a new gym. She had to pay a $45 sign-up fee and will pay dues of $30 each month for 6 months. Which expression tells you the total cost of Pam's 6-month gym membership? 45+(30times6) or (45+30)times6
Answer:
45 + (30*6)
Step-by-step explanation:
What is the area, in square feet, of the shape below?
Answer:
17.4 ft²
Step-by-step explanation:
The formula to find the area of a triangle:
1/2 x b x h, where b is the base and h is the height.
1) Substitute the given values into the formula and solve it.
= 1/2 x 6 x 5.8
= 1/2 x 34.8
= 17.4
Answer:
Area= 17.4 ft²
Step-by-step explanation:
The formula of the area of any triangle is given by: A = [tex]\frac{b*h}{2}[/tex]
where A: area of the triangle
b: base of the triangle
h: height of the triangle
in this figure we have:
b= 6ft
h= 5.8ft
A= [tex]\frac{6 * 5.8}{2}[/tex] = [tex]\frac{34.8}{2}[/tex]=17.4 ft²
HOPE THIS HELPS :)
Please help me. I am struggling. Question is in image.
Answer:
a = -15 when you add -28 f by 13 f
b -51 f lower if you subtract st Louis by chicago
Aida bought a costume box containing 50 costumes for $300. She sold all of the costumes and made a $250 profit. She sold all of the costumes for the same price. Use the equation 50c-300=250, where c is the selling price of each costume. What was the selling price of one costume in dallars?
Answer:$11
Step-by-step explanation: 50c - 300= 250
Add 300 to both sides
Divide both sides by 50
PLSS HELP
I NEED THIS ASAP
Find angle relationship and solve for X!!
(WILL GIVE BRAINLIEST)
Answer:
Same side exterior anglesx = 15Step-by-step explanation:
The indicated angles are same side exterior angles since located on the same side of the transversal and exterior to parallel lines.
Same side exterior angles are supplementary, so their sum is 180.
Solve the following equation for x
7x + 3 + 4x + 12 = 18011x + 15 = 18011x = 165x = 165/11x = 15Angles are supplementary as they are same side exterior angles
7x+3+4x+12=18011x+15=18011x=165x=15The congruence theorem that can be used to
prove ΔΜΝΡ ΔΑΒC is
O SSS.
O ASA.
O SAS.
O AAS.
Answer:
SAS
Step-by-step explanation:
AB congruent to MN
Angle B congruent to Angle N
BC congruent to NP
Check both triangles
<N=<BPN=BCNB=ABSo
Two sides are equal and their corresponding angles are equal
SAS should be usedA rectangle measures 4 3/4 inches by 1/3 inches . What is the area ?
Answer:
A = [tex]\frac{1}{4}[/tex] in²
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = lb ( l is the length and b the breadth ) , then
A = [tex]\frac{3}{4}[/tex] × [tex]\frac{1}{3}[/tex] ( cancel 3 on numerator/ denominator )
= [tex]\frac{1}{4}[/tex] × 1 = [tex]\frac{1}{4}[/tex] in²
Match the numbers in column one with the square roots in column two
Answer:
1..c
2..h
3..g
4..e
5..b
6..d
7..a
You go shopping and buy shoes for $112 if the tax is 7%
I dont know how to delete a answer and i got it wrong apparently so sorry
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Click twice to plot each segment.
Click a segment to delete it.
Answer: You d u m b. -3/4
Step-by-step explanation: