The measure of angles are 137.5 degrees and 42.5 degrees
Solution:
Given that two angles are supplementary
Let "a" be the one of supplementary angle
Let "b" be the other supplementary angle
Given that measure of one angle is 10 degree more than three times the other
measure of one angle = 10 + three times the other angle
a = 10 + 3b ---- eqn 1
We know that,
Two Angles are Supplementary when they add up to 180 degrees.
a + b = 180 ---- eqn 2
<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "b"</u></em>
Substitute eqn 1 in eqn 2
10 + 3b + b = 180
10 + 4b = 180
4b = 170
<h3>b = 42.5</h3>
From eqn 1,
a = 10 + 3(42.5)
a = 10 + 127.5 = 137.5
<h3>a = 137.5</h3>
Thus the measure of angles are 137.5 degrees and 42.5 degrees
The area of the shaded regions is: 44π
<h3>What is the Area of a Circle?</h3>
Area of a circle where "r" is the radius is determined using the formula: πr².
The figure given has three circles, namely:
- Circle A with radius of 8 cm.
- Circle B with radius of 4 cm.
- Circle C with radius of 2 cm.
The area of the shaded regions = <em>Area of circle A - Area of Circle B + Area of Circle C</em>
Area of Circle A = (π)(8)² = 64π
Area of Circle B = (π)(4)² = 16π
Area of Circle C = (π)(2)² = 4π
Thus:
The area of the shaded regions = 64π - 16π + 4π
The area of the shaded regions = 44π
Learn more about area of circle on:
brainly.com/question/15673093
Answer: D, 6y + 1z = 7x - 3w
Step-by-step explanation: Expressions do not have equal signs (=), D is the correct answer.
T ∝ 1/v
<span>so, t = k/v or tv = k </span>
<span>Then, with t = 2.5 and v = 5 we have: </span>
<span>2.5 = k/5 </span>
<span>so, k = 12.5 </span>
<span>Therefore, t = 12.5/v or vt = 12.5 HOPE IT HELPED</span>
Answer:
c
Step-by-step explanation:
