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Juliette [100K]
2 years ago
5

The two triangles are congruent. Find the unknown variables.

Mathematics
1 answer:
UkoKoshka [18]2 years ago
7 0

Answer:

Z=18

Y=110

X=27

Step-by-step explanation:

since they are congruent, the corresponding sides are the same

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11. Solve for x 3x + 3 − x + (−7) > 6 A. x > 5 B. x > (−5) C. x < 5 D. x > 2.5
lara31 [8.8K]

3x + 3 - x -7 is greater than 6.

2x - 4 is greater than 6.

2x is greater than 10.

x is greater than 5.

Hence, the answer is (A).

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2 years ago
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Margo borrows $500, agreeing to pay it back with 3% annual interest after 14
Akimi4 [234]

Answer:

\$17.50

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest to pay

P is the amount of money borrowed

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=\frac{14}{12}\ years\\ P=\$500\\r=3\%=3/100=0.03

substitute in the formula above

I=500(0.03)(\frac{14}{12})

I=\$17.50

4 0
3 years ago
What value of q make the equation true 20/q 7/9
maria [59]
20/q = 7/9
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q = 180/7
5 0
2 years ago
Which coordinate pairs make the equation x-9y=12 true?
asambeis [7]

Answer:

(12,0) and (3, -1) and (0,-4/3)

Step-by-step explanation:

To find if a point makes an equation true, just substitute its x and y values in in the equation and simplify.

1) Let's test the point (12,0). Substitute 12 for x and 0 for y in the equation:

x-9y=12\\(12)-9(0)=12\\12-0=12\\12=12

12 does equal 12, so (12,0) makes the equation true.

2) Let's test the point (0, 12). Substitute 0 for x and 12 for y in the equation:

x-9y=12\\(0)-9(12) = 12\\0-108 = 12\\-108 = 12

However, -108 does not equal 12, so (0,12) does not make the equation true.

3) Let's test the point (3, -1). Substitute 3 for x and -1 for y in the equation:

x-9y=12\\(3)-9(-1) = 12\\3 + 9 = 12\\12 = 12

12 does equal 12, so (3, -1) makes the equation true.

4) Let's test the point (0, -4/3). Substitute 0 for x and -4/3 for y in the equation:

(0) -9(-\frac{4}{3} ) = 12\\0 + \frac{36}{3} = 12\\0 + 12 = 12 \\12 = 12

12 does equal 12, so (0, -4/3) makes the equation true.

8 0
3 years ago
What is the solution to the inequality l2n+5l > 1
posledela
|2n+5| \ \textgreater \  1\\
2n+5\ \textgreater \ 1 \vee 2n+5\ \textless \ -1\\
2n\ \textgreater \ -4 \vee 2n\ \textless \ -6\\
n\ \textgreater \ -2 \vee n\ \textless \ -3\\
n\in(-\infty,-3)\cup(-2,\infty)
7 0
3 years ago
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