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Sphinxa [80]
3 years ago
14

Consider the two triangles shown. Triangles F H G and L K J are shown. Angles H F G and K L J are congruent. The length of side

F G is 32 and the length of side J L is 8. The length of side H G is 48 and the length of side K J is 12. The length of side H F is 36 and the length of side K L is 9. Which statement is true? The given sides and angles cannot be used to show similarity by either the SSS or SAS similarity theorems. The given sides and angles can be used to show similarity by the SSS similarity theorem only. The given sides and angles can be used to show similarity by the SAS similarity theorem only. The given sides and angles can be used to show similarity by both the SSS and SAS similarity theorems.
Mathematics
2 answers:
hodyreva [135]3 years ago
7 0

Answer:

The given sides and angles can be used to show similarity by both the SSS and SAS similarity theorems

Step-by-step explanation:

azamat3 years ago
4 0

Answer:

It is choice D.

:)

You might be interested in
Tom started an entertainment company. The net value of the company (in thousands of dollars) ttt months after its creation is mo
Furkat [3]

Step-by-step explanation:

Given the expression for the net value of an entertainment company after t months modeled by the equation;

v(t)=4t²-24t-28

1) To write the expression in a factored form, we need to factorize the equation given;

v(t)=4t²-24t-28

divide through by 4

v(t)=t²-6t-7

v(t)= t²-7t+t-7

v(t)= t(t-7)+1(t-7)

v(t)= (t+1)(t-7)

Hence the function in a factored or vertex form is v(t)= (t+1)(t-7)

2) To know the number of months after the company creation that the company reaches its lowest value, we will substitute v(t) = 0 into the factored form of the expression as shown;

v(t)= (t+1)(t-7)

0 = (t+1)(t-7)

(t+1)(t-7) = 0

t+1 = 0 and t-7 = 0

t = -1 and t = 7

But t cannot be negative

Hence t = 7 months

This means that the company reaches its lowest net value after 7 months

8 0
3 years ago
Mia is helping her glee club raise money to fund a field trip. The glee club secided to sell pencils, which come in boxes of 100
Nitella [24]

Answer:

m = 2500b

Step-by-step explanation:

As instructed,

let b = number of boxes sold

let m = total money made.

The total money made, is a function of the number of boxes sold.

Let me break this down:

There are 100 pencils in a box;

if they sold only one box, they will get 100 X $25 = $2500;

if they sold two boxes, they will get 200 X $25 = $5000;

if they sold three boxes, they will get 300 X $25 = $7500;

Following the trend, we can deduce that money made, m = (number of boxes sold X 100 ) X $25

representing this using the variables we were given, we have

m = 100b X 25

hence

m = 2500b

7 0
2 years ago
4 /5 fraction can be rewritten as _____
patriot [66]

Answer:

8/10, 12/15, 16/20 and so on

Step-by-step explanation:

4x2/5x2 = 8/10
4x3/5x3 = 12/15
4x4/5x4 = 16/20 and so on

3 0
2 years ago
Julie takes her kids to a playground that has the shape shown. A. While her kids are playing, Julie wants to get some exercise.
Leona [35]

Answer:

a.) Total distance Julie cover = 128 feet

b.) Total area , the playground cover = 256 ft²

Step-by-step explanation:

P. S : The exact question is -

As given,

Length of 1 side = 16 feet

As , we have

4 sides of same length

⇒ Total length of playground = 16 + 16 + 16 + 16 = 16(4) = 64 feet

a.)

As given Julie does 2 lap of the playground

⇒ Total distance Julie cover = 64 + 64 = 128 feet

b.)

As the playground has equal side, so it must be of square shape

And, we know

Area of square = (Length of one side)²

                        = ( 16 )² = 256 ft²

∴ we get

Total area , the playground cover = 256 ft²

5 0
3 years ago
What is the value of x in the following equation.<br> -x ^3/2 = -27
Yuri [45]

Answer:

3^√54

Step-by-step explanation:

-x^3=-54

-x=3^√54

5 0
3 years ago
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