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2 years ago

13

Referring to the figure, find m∠1

1 answer:

IRINA_888 [86]2 years ago

4 0

∡1 = 180° - 30°

<h2><u>∡1 = 150°</u></h2>

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xz_007 [3.2K]

The correct answer is: x = 8 (Option D)

Explanation:

Given ΔABC≅ΔDFE (Triangle ABC is congruent to triangle DFE).

It means that angle B is congruent to angle F, and C is congruent to E ( likewise A is congruent to D). By using this argument, we can say that, BC≅FE. Consequently, we can safely say that the lengths of those sides are also equal in measure. Therefore,

BC = 20

FE = 3x - 4

Since,

BC = FE (By using congruence statement mentioned above)

20 = 3x - 4

3x = 20+4

3x = 24

x = 8

Hence the correct answer is: x = 8

6 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%20%2B%5Cfrac%7B5%7D%7B7%7D%20%2B-%5Cfrac%7B1%7D%7B5%7D" id="TexFormula1"

natali 33 [55]

3/5 + 5/7 = 1 11/35 - 1/5 = 1 4/35 which is your final answer.

7 0

3 years ago

Read 2 more answers

A while back, either James borrowed $12 from his friend Rita or she borrowed $12 from him, but he can’t quite remember which. Ei

Vadim26 [7]

Answer:

42.8 + or - 12

Step-by-step explanation:

He's either gaining or losing $12 so you can write 42.8 plus or minus 12 as the equation

6 0

3 years ago

Determine the number of real solutions of -2x^2+5x-3=0

Tema [17]

Answer:

Two distinct real solutions.

Step-by-step explanation:

Given the equation in the form $ax^2+bx+c=0$ , you need to find the Discriminant with this formula:

$D=b^2-4ac$

For the equation $-2x^2+5x-3=0$ you can identify that:

$a=-2\\b=5\\c=-3$

Then, substituting these values into the formula, you get that the Discriminant is:

$D=5^2-4(-2)(-3)$

$D=1$

Since $D>0$ , then $-2x^2+5x-3=0$ has two distinct real solutions.

8 0

3 years ago

Write 10.895.73 in word form and 11.273.<br> 26 in word form

bija089 [108]

I don't think a decimal number could have 2 decimal points.

6 0

3 years ago

Read 2 more answers