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yanalaym [24]
3 years ago
10

which of the following statements is true about the triangles below? i'm guessing the fourth option??? please help

Mathematics
1 answer:
vichka [17]3 years ago
6 0
The two given triangles have two sides in the first equal to two sides in the second and an angle in the first equal to an angle in the second.
This means that we're looking for congruent triangles using SAS rule, this means that two sides and the included angle in one triangle are equal to the CORRESPONDING two sides and the included angle in the second triangle.

For the two given triangles:
JK = LK
NK = MK
angle JKN = angle LKM

Following this sequence, we can say that:
triangle JKN is congruent to triangle LKM

Checking the choices, we will find that the correct choice is: D
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Solve the system:<br> 4x – 3y = -21<br> X=-y-14
Liula [17]

Answer:

The solution for the system of equations is

x=2,y=−2

Explanation:

4x−3y=14.....equation (1)

y=−3x+4.....equation (2)

Solving by substitution

Substituting equation 2 in equation 1

4x−3⋅(−3x+4)=14

4x+9x−12=14

13x=14+12

13x=26

x=2

Finding y by substituting x in equation 1

4x−3y=14

4⋅2−3y=14

8−3y=14

8−14=3y

3y=−6

y=−2

4 0
3 years ago
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Semmy [17]

Answer:

B.

Step-by-step explanation:

5 0
3 years ago
Simplify the following expressions. Put your a<br> (3x³-5x² - 7+ 4x4) + (9x4 - 10x² - 5x³ + 3) =
leonid [27]

first we need to get rid of the ( ) so that we can see what the question really says

(3x³-5x² - 7+ 4x4) + (9x4 - 10x² - 5x³ + 3)

= 3x³-5x²-7+4x⁴+9x⁴-10x²-5x³+3

now all we need to do is add up the numbers with the same x's

<em>3x³</em>-5x²-7<u>+4x⁴+9x⁴</u>-10x²<em>-5x³</em>+3

= 13x⁴-2x³-15x²-4

6 0
2 years ago
The subject of the formula below is y.<br>a=4x/t - p<br>Rearrange the f make x the subject.​
Crazy boy [7]

Answer:

x = t(a+p)/4

Step-by-step explanation

Given the expression

​a=4x/t - p

We are to make x the subject of the formula

a=4x/t - p

Add p to both sides

a+p = 4x/t - p+p

a+p = 4x/t

Cross multiply

t(a+p) = 4x

Rearrange

4x = t(a+p)

Divide both sides by 4

4x/4 = t(a+p)/4

x = t(a+p)/4

4 0
3 years ago
∠x and ∠y are supplementary angles. ∠y measures 97੦ What is the measure of ∠x?
trasher [3.6K]

Answer:

83 degrees

Step-by-step explanation:

Supplementary angles are two angles whose sums add up to 180 degrees. Since you have one angle that is 97 degrees and one that is unknown, you can just subtract 97 from 180.

180 - 97 = 83 degrees

8 0
3 years ago
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