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3 years ago

an angle measures "126" degrees less than the measure of a supplementary angle what is the measure of each angle

2 answers:

8 0

Supplementary angles are angles which add up to 180 degrees. In this case it means that one angle is 126 degrees and the other is 54 degrees.

dexar [7]3 years ago

4 0

Answer:

The measure of the two angles are 27° and 153° respectively

Step-by-step explanation:

Given parameters

Let the first angle be represented by x°

And the second angle which is supplementary to the first be represented by y°

From the question, we have that y measures 126° less than x.

So, y = x - 126°

Two angles are said to be supplementary if the both add up to 180.

In this case, it means that x and y are supplementary if and only if x and y add up to 180.

x + y = 180

Substitute x - 126 for y

x + x - 126 = 180

2x - 126 = 180 --- collect like terms

2x = 180 + 126

2x = 306 ----- multiply both sides by ½

2x * ½ = 306 * ½

x = 153°

Recall that y = x - 126°

Substituton 153 for x

y = 153 - 126

y = 27°

Hence, the measure of the two angles are 27° and 153° respectively

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2 A marathon race is 42 195 m in length. The world record in 2016 was

Verizon [17]

Answer:

A. 7377 s

B. 5.72 m/s

C. 5.86 m/s

Step-by-step explanation:

A. Determination of the time in second.

Time (t) = 2 hours, 2 minutes and 57 seconds

We'll begin by converting 2 hours to seconds. This can be obtained as follow:

1 hour = 3600 s

Therefore,

2 hour = 2 hours × 3600 s / 1 hour

2 hours = 7200 s

Next, we shall convert 2 mins to seconds. This can be obtained as follow:

1 min = 60 s

Therefore,

2 mins = 2 mins × 60 s / 1 min

2 mins = 120 s

Finally, we shall determine the total time in second. This can be obtained as follow:

2 hours, 2 minutes and 57 seconds = 7200 s + 120 s + 57 s

= 7377 s

Therefore, the total time in second is 7377 s

B. Determination of the average speed.

Total distance = 42195 m

Total time = 7377 s

Average speed =?

Average speed = Total distance / total time

Average speed = 42195 / 7377

Average speed = 5.72 m/s

Therefore, the average speed is 5.72 m/s

C. Determination of the average speed.

We'll begin by converting 2 hours to seconds. This can be obtained as follow:

1 hour = 3600 s

Therefore,

2 hour = 2 hours × 3600 s / 1 hour

2 hours = 7200 s

Finally, we shall determine the average speed. This can be obtained as follow:

Total distance = 42195 m

Total time = 7200 s

Average speed =?

Average speed = Total distance / total time

Average speed = 42195 / 7200

Average speed = 5.86 m/s

Therefore, the average speed is 5.86 m/s.

7 0

3 years ago

Which triangle congruence is this? SSS SAS ASA AAS HL

MrRissso [65]

Answer:

Step-by-step explanation:

The Hypotenuse-Leg Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.

7 0

3 years ago

Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?

Vladimir79 [104]

Answer:

Figure A

Step-by-step explanation:

See the attached figure which represents the given options

We are to select the correct pair of triangles that can be mapped to each other using a translation and a rotation about point A.

As shown: point A will map to point L, point R will map to point P and point Q will map to point K.

we will check the options:

Figure A: the triangle ARQ and LPK can be mapped to each other using a translation and a rotation about point A.

Figure B: the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line RA.

Figure C: the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line QA.

Figure D: the triangle ARQ and LPK can be mapped to each other using a rotation about point A.

So, the answer is figure A

The triangle pairs of figure A can be mapped to each other using a translation and a rotation about point A.

3 0

3 years ago

Read 2 more answers

Help please & thank you !!

SIZIF [17.4K]

I believe it would be D

3 0

3 years ago

Identify the following equations as linear, quadratic or other. x + 3x2 = 0

aleksley [76]

Answer: Quadratic

Solution
X=0
X=- 1/3

6 0

3 years ago