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Blizzard [7]
2 years ago
7

Really need help

Mathematics
1 answer:
Ket [755]2 years ago
4 0
3n - 80 = 5n + 8\\3n=5n + 88\\ -2n = 88\\\\ n = -44
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Given that the measure of ∠x is 90°, and the measure of ∠y is 53°, find the measure of ∠z.
jeka94
To find the answer we can use the angles sum of triangle which is 180° to find ∠z by deducting the other two angles from 180°:

180°-53°-90°
=37°

Therefore ∠z=37°.

Hope it helps!
6 0
3 years ago
Read 2 more answers
How to solve this?can you help me i no sure
dangina [55]
To find the answer just substitute the values of P and Q into the equation and evaluate following order of operations

7 0
3 years ago
James Works in a flower shop. He will put 36 tulips in vases for a wedding. He must use the same number of tulips in each vase.H
soldi70 [24.7K]

Answer:

1,2,3,4,6,9,12,18,36

Step-by-step explanation:

5 0
3 years ago
What length is the shorter leg of a right triangle that has hypotenuse 50 in long and its perimeter is 112 inches?
Brut [27]
The length of the shorter leg is 14 inches.

We will set up two equations for this; first, for the perimeter.  We will call the legs a and b:

a + b + 50 = 112

Subtract 50 from both sides:
a + b + 50 - 50 = 112 - 50
a + b = 62

We will isolate a, so we can use substitution.  Subtract b from both sides:
a + b - b = 62 - b
a = 62 - b

Now we will set up our Pythagorean theorem equation:
a² + b² = 50²
a² + b² = 2500

We will substitute our value for a from the first equation into this one:
(62-b)² + b² = 2500
(62 - b)(62 - b) + b² = 2500

Multiplying the binomials, we have:
62*62 - b*62 - b*62 -b(-b) + b² = 2500
3844 - 62b - 62b + b² + b² = 2500

Combining like terms:
3844 - 124b + 2b² = 2500

To set it equal to 0 and solve, we subtract 2500 from both sides:
3844 - 124b + 2b² - 2500 = 2500 - 2500
1344 - 124b + 2b² = 0

In standard form, we have
2b² - 124b + 1344 = 0

Using the quadratic formula, 
\frac{--124\pm \sqrt{(-124)^2-4(2)(1344)}}{2(2)}
\\
\\=\frac{124\pm \sqrt{15376-10752}}{4}
\\
\\=\frac{124\pm \sqrt{4624}}{4}=\frac{124\pm 68}{4}=\frac{124+68}{4}\text{ or }\frac{124-68}{4}
\\
\\=\frac{192}{4}\text{ or }\frac{56}{4}=48\text{ or }14

The shorter leg is 14 and the longer one is 48.
8 0
3 years ago
Read 2 more answers
Justify each step. <br> x/3-7=11 <br> x/3=18<br> x=6
Nina [5.8K]
This is the steps for equation solving for the value of x,
x/3-7 = 11
now 7 goes to the other side of equation by changing the sign from - to +,
x/3 = 11 + 7
x/3 = 18
now when we multiply both sides of equation with 3 or 3 goes to the other side of equation and multiply with 18 leaving x alone here for finding the value of x,
and we get, x = 54
at the end of equation we get x = 54, if the equation was in the form 3x - 7 = 11, then we will get x = 6
8 0
3 years ago
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