The measure of the supplement of an angle is 30 less than four times the measure of the complement of the angle. find the measure of the angle.

Answers

Answer 1

Answer:

The measure of the angle is 50°.

Supplementary Angle

When the sum of two angles measures up to 180° then these angles are known as supplementary angles of each other.

for example, ∠x + ∠y = 180°, therefore, the ∠x and ∠y are the supplementary angles of each other.

Complementary Angle

When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other.

for example, ∠x + ∠y = 90°, therefore, the ∠x and ∠y are the complementary angles of each other.

Let's assume that the angle is x.

The supplementary angle of x is (180°-x).

The complementary angle of x is (90°-x).

According to the question,

(180°-x) = 4(90°-x)-30°,

(180°-x) = 4(90°-x)-30°

180 - x = 360 - 4x - 30

4x - x = 360 - 30 -180

3x = 150

x = 50°

Hence, the measure of the angle is 50°.

Learn more about Supplementary and Complementary angles:

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Related Questions

The coordinates of triangle GBW are G (20, 10) B (-35, 20), and W (5,-10). Is GBW a right triangle? Justify your answer.

Answers

We know from Pythagoras' Theorem, a right angle triangle can be identified by the relationship:

$a^2+b^2=c^2$

Thus, we know if the side lengths of the triangle in question abide by this relation, the triangle is right.

First, we must find the greatest side length.

We know, using the distance formula.

$GB= √((-35-20)^2 +(20-10)^2) =√(3125)$
$BW= √((5+35)^2 +(-10-20)^2) =√(2500)$
$WG= √((20-5)^2 +(10+10)^2) =√(625)$

From this, we know that:
$GB\ \textgreater \ BW\ \textgreater \ WG$
Therefore, GB would be the hypotenuse of the triangle.
Now we substitute the values for the two shorter lengths and the greater length into the pythagorean theorem:
$a^2+b^2=2500+625=3125$
$c^2=3125$
$\therefore LHS=RHS$
Therefore, this triangle is a right angled triangle

Two state parks, Elm Grove and Cathedral Rock, each recorded the number of visitors to the park each day for 15 days. The parks made line plots from the data recorded. What statement about the two plots’ distributions is true? A. The degree of overlap between the two distributions is high. B. The degree of overlap between the two distributions is moderate. C. The degree of overlap between the two distributions is low. D. There is no overlap between the two distributions.

Answers

The solution is : C. The degree of overlap between the two distributions is low.

What is distributions?

Distribution is the process of making a product or service available for the consumer or business user who needs it, and a distributor is a business involved in the distribution stage of the value chain.

here, we have,

Overlapping can be defined as the intersection between areas of two normal distributions.

The overlap means that sample or populations have similarities, which occasionate this behaviour.

In this case, we have two normal distributions (you can deduct that observing the bell form).

If you look closely, you'll observe that the tails of theses distributions overlap, but just the tail, that means they have a low degree of similarity.

Therefore, the right answer is C, the degree of overlap is low.

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do you need a explanation of your answer if not i do believe its B

A line crosses the y-axis at (0,4) and has a slope of -2. Find an equation for the this line.A) y = 2x + 4 B) y = -2x + 4 C) y = -2x - 4 D) y = -4x + 2 <-- 6)Write the equation of the line with the given slope and y-intercept.
slope = 5 y-intercept = 8 A) y = 5x + 8 B) x = 5y + 8 <-- C) y = 8x + 5 D) x = 8y + 5

Answers

C) y = -2x -

A) y = 5x + 8

What is the equation of a line passing through the point (a, b) and having a slope of b?

Answers

Answer: $\ y=b(x-a+1)$

Step-by-step explanation:

The equation of a line passing from points (p,q) and has slope m is given by :-

$(y-q)=m(x-p)$

Given : Slope of line {m} = b

Point through which line is passing : (p,q) =(a,b)

The equation of a line passing from points (a,b) and has slope m is given by :-

$(y-b)=b(x-a)\n\n\Rightarrow\ y-b=bx-ba\n\n\Rightarrow\ y=bx-ba+b\n\n\Rightarrow\ y=b(x-a+1)$

Hello,

y-b=b(x-a)
==>y=bx-ab+b

If x is a negative number, which of the following could equal the absolute value of x? Select all that apply.A. -2
B. 2
C. 4
D. 6

Answers

The absolute value of a number is its distance from zero. There can not be a negative distance from zero. Therefore, all absolute values are positive, no matter if the value inside them is positive or negative. So, B, C, and D can each be the absolute value of some number x, because they are all positive.

Hope this helps! :)

the answer to your question is B, C, and D.

The cost of oranges varies directly as the number of oranges sold. If 8 oranges cost $10.40, how many oranges can be bought for $33.80? PLS HELPP MEE

I WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

if you can get 8 oranges for 10.40 then divide 10.40 by 8. you can get each orange for 1.3. you need to know how many oranges you can get for 33.8 so divide that by 1.3 and you get 26

8 oranges=10.40 so 8/10.40= .76923 (per orange)
So then 33.80/.76923= 43.94 oranges. So technically with 33.80$ you can buy 43 oranges and will have some change left

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The height of an object after it is released can be modeled by the function f (x) = negative 16 t squared v t s, where t is the number of seconds after the object is released, v is the upward speed in feet per second at release, and s is the starting height in feet. if a quarterback throws a ball from his hand 6 feet in the air at an upward speed of 25 feet per second, how much time does his teammate have to catch the ball?