angle 1 and 2 are a linear pair m angle 1 =x-16 and m angle 2 = x +98 find th measurement of each angle

Answers

Answer 1

Answer: 2 angles are a linear pair if they add up to 180 degrees.
so {angle 1+ angle 2=180°}
{(x-16)+(x+98)=180°}
{2X+82=180}
{2x=180-82}
{2x=98}
{x=98/2}
x=49
Now substitute x into the angles
angle 1= 49-16
angle 1=33°

angle 2= 49+98
angle 2=147°

check your answer
is 33+147=180?
Yes.

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Factor x2 + 11x + 24A. (x + 6)(x + 4) B. (x + 2)(x + 12) C. (x + 3)(x + 8) D. (x + 1)(x + 11) Factor 2m2 + 27m + 70 A. (2m + 7)(m + 10) B. (m + 10)(2m + 7) C. (2m + 3)(m + 20) D. (2m + 7)(m – 10) Factor g2 – 64 A. (g – 1)(g + 64) B. (g + 8)(g – 8) C. (g – 8)(g – 8) D. (g + 8)(g + 8) Factor 49t2 – 9 A. (7t + 3)(7t + 3) B. (7t + 3)(–7t – 3) C. (7t + 3)(7t – 3) D. 7t – 3 The area of a rectangular field is given by the trinomial t2 – 4t – 45. The length of the rectangle is t + 5. What is the expression for the width of the field? A. t – 9 B. t – 5
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A similarity transformation maps polygon ABCD to polygon PQRS. If the length of is 6 and the length of the corresponding side, , is 12, what is the scale factor of dilation?

Answers

6 to 12
1/2

factor is 1/2

Answer:

0.5

Step-by-step explanation:

James walks his dog every 3 days, Anna walks her dog every four days, if they both walk their dogs on a monday, on which day of the week will they walk their dogs together

Answers

on tuesday they will walk their dog at same day

Final answer:

James and Anna walk their dogs every 3 and 4 days respectively. The Least Common Multiple of 3 and 4 is 12, so they will walk their dogs together every 12 days. Since they walk their dogs on a Monday, they will walk them together on a Monday.

Explanation:

This question is about finding the Least Common Multiple (LCM) of two numbers. In this case, the two numbers are the days James and Anna walk their dogs: 3 days and 4 days. The LCM of 3 and 4 is 12. Therefore, James and Anna will walk their dogs together every 12 days.

If they both walk their dogs on a Monday, 12 days later will also be a Monday. So, they will walk their dogs together on the same day of the week, which is Monday.

Learn more about Least Common Multiple here:

brainly.com/question/34291727

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Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).Show all work to evaluate f(a) using the function you created.

Answers

our quadratic polynomial function is:

f(x) = 4x^2 + 2x + 5

our linear binomial form is:
x - a = -2
hence:
a = x + 2

and so we have:
f(x) = 4x^2 + 2x + 5
f(a) = 4(x + 2)^2 + 2(x + 2) + 5
= 4(x^2 + 4x + 4) + 2x + 4 + 5
f(a) = 4x^2 + 18x + 25

at murky middle school, 372 students ride the bus to school. if this number is 60% of high school enrollment, then how many students are enrolled at the school