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Nana76 [90]
3 years ago
8

If triangle DEF is an isosceles triangle with DE is congruent to EF, find x and the measure of each side

Mathematics
1 answer:
Rudik [331]3 years ago
3 0

Step-by-step explanation:

Given that,

DE = 8x - 13

EF = 5x + 17

DF = x + 21

Also,

DE = EF

which means that,

8x - 13 = 5x + 17

8x - 5x = 17 + 13

3x = 30

x = 30/3

x = 10

Now,

DE = 8x - 13 = 8×10 - 13 = 80 - 13 = 67cm

EF = 5x + 17 = 5×10 + 17 = 50 + 17 = 67cm

DF = x + 21 = 10 + 21 = 31cm

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What is true of a sequence of transformations that rotates an image and then translates it in order to map it onto another image
joja [24]

The true statement about the sequence of transformations is it includes exactly two rigid transformations.

<h3>How to determine the true statement?</h3>

The transformation statement is given as:

a sequence of transformations that rotates an image and then translates it in order to map it onto another image

This can be split as follows:

  • A sequence of transformations that rotates an image
  • Then translates it in order to map it onto another image

Translation and rotation are rigid transformations

This means that the size and the angle of the shape that is transformed will remain the same

Hence, the true statement about the sequence of transformations is it includes exactly two rigid transformations.

Read more about transformation at

brainly.com/question/4289712

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4 0
2 years ago
Jada makes sparkling juice by mixing 2 cups of sparkling water with every 3 cups of apple juice.
nordsb [41]

Answer:

9

Explanation:

Hope it helps.. I got it right

4 0
3 years ago
Read 2 more answers
Kate has 48 softballs. She wants to divide them evenly among b softball bags. Which expression represents how many softballs she
Makovka662 [10]

Answer:

A

Step-by-step explanation:

48 softballs

Divided among b bags

Divide 48 by b

48 ÷ b

Division expressions can also be written as fractions

Rewrite

48/b

The correct answer is A, 48/b

Hope this helps :)

8 0
3 years ago
How do I make 24/9 into a mixed number
wlad13 [49]

U divide 24 to 9, which is not going to be an exact number, but you can do 9times2=18 so then if you do it in a long division bar you will put 2 on top then minus 18 from 24 which will give you 6, then ur answer is going to be 2 6/9 the nine stays the same (the denominator stay put)

HOPE IT HELPS :)

7 0
3 years ago
Michelle’s house is 22 miles due north of Jan’s house and 30 degrees northeast of Richard’s house. Richard’s house is due east o
tensa zangetsu [6.8K]

Answer:

Michelle’s house is 44 miles to Richard’s house.

Step-by-step explanation:

The distance can be found out by using the trigonometric ratio of sine theta

Sine theta= Perpendicular/ Hypotenuse

We know the values of hypotenuse and theta

Sine 30 = 22/ Hypotenuse

Hypotenuse= 22/ sine 30

Hypotenuse= 22/0.5

Hypotenuse = 44

The hypotenuse marks the distance between Michelle’s house to Richard’s house. Due east means counter clockwise rotation from east.

3 0
3 years ago
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