All categories

3 years ago

Two supplementary angles are congruent. Which equation gives the measure in degrees, d, of each angle?

2 answers:

7 0

In this problem, d=degrees per angle. Supplementary angles are any 2 angles that add up to 180. Because both angles are congruent in this question, they both equal the same thing, so 180 ÷ 2 = d. In algebraic form, it is 2d=180.

Answer:

2d=180

Nimfa-mama [501]3 years ago

5 0

Solution:

The given statement is :Two supplementary angles are congruent.

Two angles are said to be supplementary if sum of these two angles is 180°.

Let one Angle be A, then another angle will be 180 - A.

As given:

A≅180-A

A=180 -A

A +A= 180

2 A = 180

Dividing both sides by 2, we get

A= 90°

The Measure of each angle will be of 90°.

i.e , d = 90°

You might be interested in

Shana bought sodas and popcorn for the movies. Sodas cost $3 each and popcorn cost $4 per bag. Shana bought 7 things from the co

erma4kov [3.2K]

Equation : 3s + 4p = $26
Answer : 2 sodas and 5 bags of popcorn.
The equation would be 3s + 4p = $26. 3s is the $3 for every soda and 4p is $4 for every bag of popcorn.
Shana bought 2 sodas and 5 bags of popcorn. 3 x 2 is 6 and 5 x 4 is 20 which would equal $26. They also equal to the 7 things because of the 2 sodas and 5 bags.

6 0

3 years ago

An object in a simulation accelerates

notsponge [240]

Observe the graph below. This graph represents the scenario.

The question is ill formated, the complete question is

In a simulation, a moving object accelerates from rest to 4 meters per second in 2 seconds. For the following three seconds, it increases linearly until it reaches a speed of 10 meters per second. Following three seconds at that speed (acceleration = 0), the item progressively decelerates until it comes to rest two seconds later. Draw the graph of this scenario for 10 seconds?

I'll describe how the graph may show.

It will move diagonally upward from time 0 to 2 seconds until it reaches the y axis at a speed of 4 m/s.

Then, from 2 to 5, the position will move up diagonally until it reaches the y axis at a speed of 10 m/s.

The next 5 to 8 seconds will be horizontal.

After that, it will descend diagonally.

Observe the graph below. This graph represents the scenario.

Learn more about Acceleration here-

brainly.com/question/21509870

#SPJ10

5 0

2 years ago

Increase of the product of two and a number by 4 to obtain 56

marusya05 [52]

2n+4=56
n=26 hope this helps

5 0

3 years ago

Read 2 more answers

Which angles are alternate exterior angles?

igomit [66]

The angles are Q and N

7 0

4 years ago

Read 2 more answers

Consider the function on the interval (0, 2π). f(x) = 7 sin2(x) + 7 sin(x) (a) Find the open interval(s) on which the function i

-BARSIC- [3]

Answer with Step-by-step explanation:

Given

$f(x)=7sin(2x)+7sin(x)$

Differentiating both sides by 'x' we get

$14cos(2x)+7cos(x)=f'(x)$

Now we know that for an increasing function we have

$f'(x)>0\\\\14cos(2x)+7cos(x)>0\\\\2cos(2x)+cos(x)>0\\\\2(2cos^{2}(x)-1)+cos(x)>0\\\\4cos^{2}(x)+cos(x)-2>0\\\\(2cos(x)+\frac{1}{2})^2-2-\frac{1}{4}>0\\\\(2cos(x)+\frac{1}{2})^2>\frac{9}{4}\\\\2cos(x)>\frac{3}{2}-\frac{1}{2}\\\\\therefore cos(x)>\frac{1}{4}\\\\\therefore x=[0,cos^{-1}(1/4)]\cup [2\pi-cos^{-1}(1/4),2\pi ]$

Similarly for decreasing function we have

$[tex]f'(x)$

Part b)

To find the extreme points we equate the derivative with 0

$f'(x)=0\\\\cos(x)=\frac{1}{4}\\\\x=cos^{-1}(\frac{1}{4})$

Thus point of extrema is only 1.

4 0

4 years ago