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marishachu [46]
3 years ago
10

Triangle ABC is similar to triangle CDE. Both are right triangles. Which statements about the two triangles must be true? Choose

all answers that are correct. A. Sides AB and BC are proportional to sides CD and DE. B. Side AC has the same slope as side CE. C. Triangle ABC is congruent to triangle CDE. D. Side AC is congruent to side CE.
Mathematics
1 answer:
Eddi Din [679]3 years ago
5 0
The question ask to choose among the choices that states the truth about the triangle ABC and triangle CDE which is they are similar. The statement that tells the truth is letter C. Triangle ABC is congruent to triangle CDW and also D. Side AC is congruent it side CE. I hope this will help 
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Part A
alexgriva [62]

Answer:

6=2 , 12=4, 15=5, 24=8

Step-by-step explanation:

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A closed container has 7.05 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10-24 grams. Which of the following shows
Gnesinka [82]

Answer:

D

Step-by-step explanation:

7 0
2 years ago
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Te: 6 less then a number cubed
telo118 [61]

Answer:

x^ 3 -6

Step-by-step explanation:

x^ 3- 6

cubed x first. then subtract 6 from that

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Determine which statement is a true proportion.
Ratling [72]
The answer is option B.  11/12 = (13 3/4) /15

it could be considered a true proportion if both are equal in values.

In order to find this, you need to cross multiply the numerator and the denominator in all of those options and find which give the exact result.

11 x 15  = 13 3/4  x 12

165 = 165



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3 years ago
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SOMEONE PLZ HELP ME!!!! I WILL GIVE BRAINLIEST!!!
MAXImum [283]

Answer:

Step-by-step explanation:

Let the quadratic equation of the function by the points in the given equation is,

f(x) = ax² + bx + c

If the points lying on the graph are (-3, -10), (-4, -8) and (0, 8),

For (0, 8),

f(0) = a(0)² + b(0) + c

8 = c

For a point (-3, -10),

f(-3) = a(-3)² + b(-3) + 8

-10 = 9a - 3b + 8

9a - 3b = -18

3a - b = -6 --------(1)

For (-4, -8),

f(-4) = a(-4)² + b(-4) + 8

-8 = 16a - 4b + 8

-16 = 16a - 4b

4a - b = -4 ------(2)

Subtract equation (1) from equation (2)

(4a - b) - (3a - b) = -4 + 6

a = 2

From equation (1),

6 - b = -6

b = 12

Function will be,

f(x) = 2x² + 12x + 8

     = 2(x² + 6x) + 8

     = 2(x² + 6x + 9 - 9) + 8

     = 2(x² + 6x + 9) - 18 + 8

     = 2(x + 3)² - 10

By comparing this function with the vertex form of the function,

y = a(x - h)² + k

where (h, k) is the vertex.

Vertex of the function 'f' will be (-3, -10)

And axis of symmetry will be,

x = -3

From the given graph, axis of the symmetry of the function 'g' is; x = -3

Therefore, both the functions will have the same axis of symmetry.

y-intercept of the function 'f' → y = 8 Or (0, 8)

y-intercept of the function 'g' → y = -2 Or (0, -2)

Therefore, y-intercept of 'f' is greater than 'g'

Average rate of change of function 'f' = \frac{f(b)-f(a)}{b-a} in the interval [a, b]

                                                               = \frac{f(-3)-f(-6)}{-3+6}

                                                               = \frac{-10-8}{3}

                                                               = -6

Average rate of change of function 'g' = \frac{g(b)-g(a)}{b-a}

                                                                = \frac{g(-3)-g(-6)}{-3+6}

                                                                = \frac{7+2}{-3+6}

                                                                = 3

Therefore, Average rate of change of function 'f' is less than 'g'.

6 0
3 years ago
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