2 years ago

Angles XYZ and PYZ are complimentary. If XYZ= 3x+8 and PYZ= 2x+7, what is the measure of XYZ?

Mathematics

1 answer:

Romashka [77]2 years ago

8 0

Your answer would be 53

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alexgriva [62]

Answer:

x = 20

Step-by-step explanation:

This isn't too difficult once you understand it.

The bottom left angle of the left triangle (on the other side of 110), that angle is congruent to the 70 degrees angle. that angle is 70 degrees. y = 90 degrees, 90 + 70 = 160

180 - 160 = 20

4 0

2 years ago

The sum of a number and its square is 182. Find the number.

Mars2501 [29]

Answer:

13 and -14 satisfy this condition

Step-by-step explanation:

Let's represent that number as x

and the square of x is x^2

So,

x + x^2 = 182

Subtract 182 from both sides

x + x^2 - 182 = 182 - 182

x + x^2 - 182 = 0

rearrange the quadratic equation

x^2 + x -182 = 0

let's use the quadratic formula

$\frac{-b+\sqrt{b^2-4ac} }{2a}$ or $\frac{-b-\sqrt{b^2-4ac} }{2a}$

a = 1, b = 1, c = -182

$\frac{-1+\sqrt{1^2-4*1*(-182)} }{2*1}$ or $\frac{-1-\sqrt{1^2-4*1*(-182)} }{2*1}$

$\frac{-1+\sqrt{1+728} }{2}$ or $\frac{-1-\sqrt{1+728} }{2}$

$\frac{-1+\sqrt{729} }{2}$ or $\frac{-1-\sqrt{729} }{2}$

$\frac{-1+{27} }{2}$ or $\frac{-1-{27} }{2}$

$\frac{26}{2}$ or $\frac{-28}{2}$

13 or - 14

Lets check

13 + 13^2 = 13 + 169

= 182

Also,

-14 + (-14^2) = -14 + 196

= 182

8 0

3 years ago

2) If Silas added 5 years to his age he would be 39. How old is Silas now? Write as an equation and solve.

Fofino [41]

Here's the equation:
5 + x=39
-5 -5

Here's the answer: x=34

6 0

2 years ago

Read 2 more answers

A culture of bacteria has an initial population of 92000 bacteria and doubles every 7 hours. Using the formula P_t = P_0\cdot 2^

ludmilkaskok [199]

Answer:

im here for the a

Step-by-step explanation:

8 0

3 years ago

Sole the given inequality and graph it on the number line. -2x - 5 < 3

Anon25 [30]

Answer:

your answer would be X>-4

6 0

2 years ago