Work shown above! x = 7
To solve use the supplementary angle next to the unknown angle to find an expression for that unknown angle and use that with the expressions inside the triangle to set equal to 180 and solve for x.
hope this helps c:
Answer:
5 feet & 15 feet
Step-by-step explanation:
<em>The question is to find the lengths of 2 sides of the rectangle</em>.
<u>Solution:</u>
Let shorter side be "x"
Let longer side be "y"
From the question, we can write:
y = 3x
also
y - x = 10
Now, putting the first on second equation, we get:
y - x = 10
3x - x = 10
2x = 10
x = 10/2 = 5
Now, y = 3x, y = 3(5) = 15
So we can say the lengths of 2 sides of the rectangle is 5 feet & 15 feet
Using proportions, it is found that his tax rate is of 28.84%.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
His tax rate is the proportion that the <u>deductions are of the total salary</u>, hence:
12,200/42,300 = 0.2884 = 28.84%.
Hence his tax rate is of 28.84%.
More can be learned about proportions at brainly.com/question/24372153
#SPJ1
Answer:
Please read all of this! Underlined things are the answers. The area of the entire circle is 19.625
Step-by-step explanation:
(This is a circle so the middle line is the diameter. According to the attachment, the diameter is 5 cm. To find the area, we have to multiply π and the radius squared. The radius is half of the diameter.
5 ÷ 2 = 2.5
2.5² = 6.25
π = 3.14
3.14 x 6.25 = 19.625)
Ignore the top I just realized what I'm supposed to do but I left it there just in case you need help!
<u>The right and left shaded regions areas are 6.28 each.</u>
4 ÷ 2 = 2
2² = 4
3.14 x 4 = 12.56
Since this is a semi circle, we cut it in half.
12.56 ÷ 2 = 6.28
To find the top and bottom shaded region's areas, repeat the same steps.
3 ÷ 2 = 1.5
1.5² = 2.25
3.14 x 2.25 = 7.065
7.065 ÷ 2 = 3.5325
<u>The areas of the the top and bottom shaded regions are 3.5325 each.</u>
Answer:
-5/0= undefined
Step-by-step explanation:
m = y2- y1 / x2- x1
m = -3-2/ 17-17
m= -5/0
