What is the value of x

Mathematics

2 answers:

ICE Princess25 [194]3 years ago

7 0

Answer:

124°

Step-by-step explanation:

Step 1:

72° + 52° = x Remote Interior ∠'s

Step 2:

124° = x Add

Answer:

x = 124°

Hope This Helps :)

Elena L [17]3 years ago

6 0

Answer:

D) 124°

Step-by-step explanation:

Use the "Exterior Angle Theorem". The Exterior Angle Theorem states that the exterior angle's measurement is the sum of the two opposite interior angle's measurements.

In this case, it is given to you that the opposite angle's measurements are 72 and 52 degrees respectively. To solve, combine the two angles:

m∠x = 72 + 52

m∠x = 124°

m∠x = 124°, or D) 124° is your answer.

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When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F

aleksandr82 [10.1K]

Let $x$ be the unknown number. So, three times that number means $3x$ , and the square of the number is $x^2$

We have to sum 528 and three times the number, so we have $528+3x$

Then, we have to subtract this number from $x^2$ , so we have

$x^2-(3x+528)$

The result is 120, so the equation is

$x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0$

This is a quadratic equation, i.e. an equation like $ax^2+bx+c=0$ . These equation can be solved - assuming they have a solution - with the following formula