The measure of both angles are 112.5 and 68.5 degrees
<h3>Complementary angles</h3>
The sum of two complementary angles is 90 degrees.
If two angles are complementary, then;
x + y = 90
x = 90 - y..........1
where x and y are the angles
If two times the measure of one is equal to 40% of the measure of the other then;
2x = 0.4y ............2
Substitute equation 1 into 2
2(90-y) = 0.4y
180 - 2y = 0.4y
180 = -0.4y + 2y
1.6y = 180
Divide both sides by 1.6
1.6y/1.6 = 180/1.6
y = 112.5 degrees
For the other angle
x= 180 - y
x = 180 -112.5
x = 68.5 degrees
Hence the measure of both angles are 112.5 and 68.5 degrees
Learn more on complementary angles here: brainly.com/question/16281260
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Answer:
4 / 3
Step-by-step explanation:
tan x = opposite / adjacent
tan x = AB / AC
tan x = 4 / 3
{ x = theta ]
Answer:
x = 1/5
Step-by-step explanation:
Step 1: Write equation
-5x - (-7 - 4x) = -2(3x - 4)
Step 2: Solve for <em>x</em>
- <u>Distribute:</u> -5x + 7 + 4x = -6x + 8
- <u>Combine like terms:</u> -x + 7 = -6x + 8
- <u>Add 6x to both sides:</u> 5x + 7 = 8
- <u>Subtract 7 on both sides:</u> 5x = 1
- <u>Divide by 5 on both sides:</u> x = 1/5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-5(1/5) - (-7 - 4(1/5)) = -2(3(1/5) - 4)
-1 - (-7 - 4/5) = -2(3/5 - 4)
-1 - (-39/5) = -2(-17/5)
-1 + 39/5 = 34/5
34/5 = 34/5
Answer:
Copy and paste the question
Step-by-step explanation:
simple
Answer:
The answer is $ 59.84
Step-by-step explanation:
Ok, I know this is not one of the options, but hear me out:
To find the sales tax for that item, you need to multiply the dollar amount by the sales tax (in percent):
$55 * 8.8% = $4.84
So the sales tax is $4.84. However, the question asks "How much would you pay for that item?", not what the sales tax is. So I would solve this problem by adding the sales tax to the dollar amount of the item:
$55 + $4.84 = $ 59.84
If you are able to write or type your answer, I would type $ 59.84. If you can only select one of the given values, then I would suggest going with A: $ 4.84 just because its the only number that is actually relevant at all to the problem.