Which additional statements are required to prove△ABC ~=△MNO using SAS postulate, if C~= O?
Step-by-step explanation:
To prove that two triangles are congruent by SAS, two sides and the INCLUDED angle in the first triangle must be congruent to the corresponding two sides and INCLUDED angle in the second one.
Factor by gcf 6x2+3x+21 The 2 is supposed to be small.
Given:
The expression is:
[tex]6x^2+3x+21[/tex]
To find:
The factor of the given expression by GCF.
Solution:
It is given that,
[tex]6x^2+3x+21[/tex]
The terms of the given expression are [tex]6x^2,3x,21[/tex]. The greatest common factor of these terms is 3.
[tex]6x^2+3x+21=3\times 2x^2+3\times x+3\times 7[/tex]
So, taking out the GCF, the given expression can be rewritten as:
[tex]6x^2+3x+21=3(2x^2+x+7)[/tex]
Therefore, the factor form of the given expression by GCF is [tex]3(2x^2+x+7)[/tex].
Repartos Equitativos: A:Repartir 21 chocolates en 5 niños (dividir) B:Repartir 10 chocolates en 3 niños (dividir)
Respuesta:
4 1/5 bombones
3 1/3 bombones
Explicación paso a paso:
Distribuir 21 bombones entre 5 niños;
21/5 = 4 resto 1
Por lo tanto, se le da 4 chocolates a cada niño y el 1 chocolate restante se divide en 5 partes iguales y se le da 1/5 a cada niño. Por lo tanto, cada niño recibe 4 1/5 chocolates.
Distribuir 10 bombones entre 3 niños;
10/3 = 3 resto 1
Por lo tanto, se le da 3 chocolates a cada niño y el 1 chocolate restante se divide en 3 partes iguales y se le da 1/3 a cada niño. Por lo tanto, cada niño recibe 3 1/3 chocolates.
What is the value of log2 log32?
the value of log2 log32 is 0.5899 and the base of the logarithm is raised to the value that was equated earlier and this expression is equal to the logarithm.
logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logb n. For example, 23 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log2 8.J
The logarithmic equation that has the same solution as x-4=2^3 is log2(x-4)=3.
Logarithm
The logarithm of a number can be calculated from the following relationship:
Thus, the base of the logarithm is raised to the value that was equated earlier and this expression is equal to the logarithm.
So, we have that the third expression
Therefore, this expression is the one corresponding to x-4=2^3.
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Suppose that g(x) = f(x) + 2. Which statement best compares the graph of
g(x) with the graph of f(x)?
A. The graph of g(x) is shifted 2 units down.
O B. The graph of g(x) is vertically stretched by a factor of 2.
C. The graph of g(x) is shifted 2 units to the right.
D. The graph of g(x) is shifted 2 units up.
Answer:
2 units up
Step-by-step explanation:
You have no stretch because no number in front and nothing is done to x do no movement to the sides
Find two consecutive odd integers such that the sum between twice the smallest and the biggest is 35.
Answer:
Consecutive odd numbers will be 11 and 13.
Step-by-step explanation:
Let the two consecutive odd integers are n and (n + 2).
From the given question,
Sum between twice the smallest and the biggest is 35.
Since, smallest number is 'n' and biggest is (n + 2)
Therefore equation will be,
2n + (n + 2) = 35
(2n + n) + 2 = 35
3n + 2 = 35
3n = 33
n = 11
And (n + 2) = 13
Consecutive odd numbers will be,
11, 13
What is the distance between the points
(-9,4) and
(3, -12)?
Answer:
20
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/geometry-plane/distance-two-points.php
i will give brainly :) NO LINKS
I'm thinking of 3 whole numbers. Use the clues to find the values of the three mystery numbers:
Clue #1 - The middle number is 3 times the smallest number
Clue #2 - The largest number is 6 more than the middle number
Clue #3 - The sum of my 3 numbers is 34
Answer:
HAH DUM
Step-by-step explanation:
I need help with this
Answer:
27
Step-by-step explanation:
Area of Triangle x 2 = 3 * 3
The reason I did not divide it by 2 is because of how the other triangle is bound to have the same area. Just leave it as it is because later you're going to reach the same answer.
3 * 3 = 9
Rectangle Area = 6 * 3 = 18
18 + 9 = 27
ASAP
JUST THE ANSWER FR THIS TIME
Answer:
18
Step-by-step explanation:
You can use a calculator for this
60%*30=18
or, if you want to solve it by hand, 60% equals 0.6=6/10=3/5
(3/5)*30=90/5=18
Answer:
18
Step-by-step explanation:
have a nice day!!
can you help with these 3 question pls it is due at 8 pm
Step-by-step explanation:
1. a + 130 =.180 ---> a = 50°
b + 130 + 120 = 360 ---> b = 110°
c + 120 = 180 ---> c = 60°
2. p + 44 = 180 ---> p = 136°
q + 44 = 180 ---> q = 136°
r = 44° (definition of vertical angles)
t = 34° (definition of vertical angles)
3. x = 50° (definition of vertical angles)
y = 50° (definition of alternate external angles)
HELP ASAP!!
Find the surface area of the figure. Round your answer to the nearest hundredth if necessary ^
Answer:
add all the sides together and if thats not it you learned something different from me:)
Answer: 384 yd
Step-by-step explanation: To find the surface area of a cube, simply calculate using this formula: [tex]SA=6a^2[/tex]. In this case, the [tex]a[/tex] is equal to 8 yards, input the number 8 into the formula.
[tex]SA=6(8)^2[/tex]
[tex]SA=384[/tex]
Hope this helped! ;)
Simplify the below expression.
Answer:
x^-8.x^3
x^-8+3
x^-5
1/x^5
Step-by-step explanation:
11. Manuel has two different recipes for chocolate chip
muffins. The table shows the amount of chocolate chips
needed per batch for each recipe. He has 10 cups of
chocolate chips. The equation 2b = 10 can be used to
find b, the number of batches of muffins he can make if
he uses Recipe 1. Can Manuel make 3, 4, or 5 batches if
he uses Recipe 1?
n
JID
Recipe Chocolate Chips (cups)
1
2
2
1
Answer:
Manuel can make 5 batches of muffins using Recipe 1
Step-by-step explanation:
You want to know the value of b in the equation 2b = 10, where b is the number of batches of muffins Manuel can make using recipe 1.
SolutionDivide both sides of the given equation by 2 so solve for the value of b.
(2b)/2 = (10)/2
b = 5
Manuel can make 5 batches of muffins using Recipe 1.
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Find the number of 15% of it is equal to nine
Answer:
15% of 60 is equal to 9
Step-by-step explanation:
If this helps please mark as brainliest
Find the missing angle.
Answer:
x = 81
Step-by-step explanation:
180 (62 + 37) = x
81 = x
Hope this helps!
Answer:
81
Step-by-step explanation:
x + 37 + 62 = 180
x + 99 = 180
x = 180 - 99
x = 81
Which statements are necessary to prove the two triangles are congruent by SSS? (ASAP HELP PLS!!!)
Answer:
C
Step-by-step explanation:
To prove that two triangles are congruent using the SSS Congruence criterion, we must establish that all three sides of one triangle are equal to all the corresponding sides of the other.
Thus,
Side AD in ∆ADB is congruent to side AD in ∆ADC.
Side BD in ∆ADB is congruent to side CD in ∆ADC.
Side AB in ∆ADB is congruent to side AC in ∆ADC.
Therefore, based on the SSS congruence criterion, it is concluded that both triangles are congruent.
The statements necessary to prove that they are congruent by SSS is:
C.
Kyle and Steve start at the same point and walk in opposite directions. If Kyle walks at 2 mph and Steve walks at 2 mph, how far apart will they be after 3 hours?
Answer:
12 miles
Step-by-step explanation:
Kyle's speed = 2 mph
Steve's speed = 2 mph
Time traveled = 3 hours
Distance apart after 3 hours
Distance moved by Kyle + Distance moved by Steve
Distance = Speed * time
Distance moved by Kyle = 2 * 3 = 6 miles
Distance moved by Steve = 2 * 3 = 6 miles
Total distance apart = 6 + 6 = 12 miles
Polly bought a bag of s sour candies. She ate 74 of the candies. Write an expression that shows how many sour candies Polly has now.
Answer:
s-74
Step-by-step explanation:
She ate 74 candies, out of the total S candies. So, if we do S-74, well find how many are left.
How do you solve a 3 by 3 system of equations using matrices?
The solutions can be read off of the diagonal entries in the reduced matrix.
To solve a 3 x 3 system of equations using matrices, first we need to create the augmented matrix for the system of equations. The augmented matrix contains the coefficients of the variables and the constants for each equation on each row. Then we can use row operations to reduce the augmented matrix to reduced row-echelon form. This can be done by adding or subtracting rows to each other, multiplying or dividing a row by a non-zero number, and swapping two rows. After reducing the matrix to row-echelon form, we can back-substitute the solutions to the system of equations. The solutions can be read off of the diagonal entries in the reduced matrix. For example, if the matrix is reduced to the form [a b c d e f g h i] then the solution to the system of equations is x = d/a, y = e/b, and z = f/c.
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Tammy has a rectangular rug with an area of 21 square feet. The rug is 4 feet longer than it is wide. Which equation can be
used to determine the length and the width of the rug?
A 21 - -W² - 4W
B. 21 = 42
C. 21 - W2 + 4w
D. 21 - W2 + 4
The equation to determine the length and the width of the rug is
21 = W² - 4W.
What is a rectangle ?A rectangle is a quadrilateral with four right angles in the Euclidean plane. It may alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
A quadrilateral is a rectangle.
A rectangle's opposing sides are equal and parallel to one another.
Each vertex of a rectangle has a 90° internal angle.
360° is the total of all interior angles.
The diagonals cut each other in half.
The diagonals are all the same length.
The Pythagorean theorem may be used to determine the length of the diagonals.
A rectangle is also referred to as a parallelogram since its sides are parallel.
While all parallelograms are rectangles, not all rectangles are parallelograms.
The length of the rug is l ft
Then the width of the rug will be l-4 ft
So the are will be l*(l-4) = [tex]l\x^{2} - 4l[/tex]
We know area is 21
so the equation is 21 = [tex]l\x^{2} - 4l[/tex] (Option a)
And after solving the equation the lenght is7m and breadth is 3 m.
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Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.
Answer:
vertex form: y = (x + 1)² - 3 the vertex is minimum coordinates of the vertex: (-1, -3)Step-by-step explanation:
[tex]y=x^2+2x-2\\\\y=x^2+2x+1-1-2\\\\\bold{y=(x+1)^2-3}[/tex]
a = 1 > 0 ← it means the parabla opens up, so, the vertex is minimum
The vertex form is y = a(x - h)² + k, where (h, k) is the vertex
So, from y = (x + 1)² - 3 the vertex is: (-1, -3)
Elizabeth has a loyalty card good for a 10% discount at her local grocery store. What would her total in dollars and cents be, after the discount and before tax, if the total cost of all the items she wants to buy is $37. 60? Round to the nearest cent
The total amount for Elizabeth's purchase after 10 percent discount on her total bill is 33 dollars and 84 cents which is equivalent to 34 dollars.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
Elizabeth bought the grocery for a total of 37 dollars and 60 cents.
She has a coupon of 10% discount.
Which means, she can get 10% discount on her total bill.
The amount of her total bill is $37.60.
So, calculate using percentage, the value of 10% of $37.60.
=(10 × 37.60/100)
= 376/100
= 3.76
So, Elizabeth would get a discount of $3.76 on her total bill -
= 37.60 - 3.76
= 33.84
Therefore, after the discount Elizabeth's total bill is $33.84 ≈ $34.
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FOR 20 POINTS FIND X PLEASE!!
Hi there!
We can find the values of x using right triangle trig.
Recall: SOHCAHTOA
sin = O/H (Opposite / Hypotenuse)
cos = A/H (Adjacent / Hypotenuse)
tan = O/A (Opposite / Adjacent)
Thus:
6. A = 14, H = 15
cos x = 14/15
cos⁻¹ (14/15) = x
x = 21.04° ≈ 21°
7. O = 19, A = 23
tan x = 19/23
tan⁻¹(19/23) = x
x = 39.56° ≈ 40°
8. A = 9, H = 17
cos x = 9/17
cos⁻¹(9/17) = x
x = 58.03 ≈ 58°
9. O = 43, H = 45
sin x = 43/45
sin⁻¹(43/45) = x
x = 72.85° ≈ 73°
help ! what's the value of x -
[tex] {x}^{4} + 4 = 100 \div 5[/tex]
Answer:
2
Step-by-step explanation:
100/5 = 20
x⁴ + 4 = 20
x⁴ = 20 - 4
x⁴ = 16
= 2 × 2 × 2 × 2
x⁴ = 2⁴
x = 2
Hence, the value of x is 2.
Consider the graphs below. What are the explanatory variables?
D was the answer for me.
Answer:
its c
Step-by-step explanation:
I just took the test
HELP H>E>L>P help help
Answer:
i think b) option b
Step-by-step explanation:
lmk if this is incorrect
NEED THE ANSWER QUICK
NO LINKS, LINKERS WILL BE REPORTED
Answer:
20 i think i forgot but, hopefully u get it right
Step-by-step explanation:
The table shows the running speeds of 10 randomly selected lions
Step-by-step explanation:
speed (miles per hour) 48, 45, 50, 44, 46, 45, 42, 47, 45, 48. based on the data
The top speed of a lion is 48 miles per hour.
45. Sliding Down a Hill
Ojemba is sitting on a sled on the side of
a hill inclined at 60°. The combined weight of Ojemba and the
sled is 160 pounds. What is the magnitude of the force required
for Mandisa to keep the sled from sliding down the hill?
If Ojemba is sitting on a sled on the side of a hill inclined at 60° and weight of Ojemba and sled is 160 pounds , then magnitude of force needed for Mandisa to keep sled from sliding down the hill is 355.59 N .
the inclination angle of the the side of the hill is = 60° ;
the compound mass of Ojemba and Sled is = 160 pounds ,
On conversion we get the mass in Kg is = 72.57 Kg .
the acceleration due to gravity is , [tex]g = 9.8 m/s^{2}[/tex] ;
The force required for Mandisa to keep sled from sliding down the hill can be calculated by the formula ;
[tex]F = mgSin\theta[/tex] , Substituting the values ,
we get ;
[tex]F = 72.57\times 9.8\times Sin(30\textdegree)[/tex]
[tex]F = 72.57\times 9.8\times \frac{1}{2}[/tex] ;
So , [tex]F = 355.59 N[/tex] .
The required magnitude of the force is 355.59 N .
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