Problem 23
A = 40
B = 3x+1
C = 3x+1
B and C are congruent, so they have the same angle measure
The three angles of any triangle add to 180 degrees
A+B+C = 180
40+(3x+1)+(3x+1) = 180
6x+42 = 180
6x = 180-42
6x = 138
x = 138/6
x = 23
Answer: B) 23
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Problem 24
AB is the midsegment parallel to XY
So AB is half that of XY
AB = (1/2)*XY
AB = (1/2)*28
AB = 14
Answer: B) 14
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Problem 25
Note the ratio of the given rectangle's sides: 7/12 = 0.583 roughly
Divide the answer choices in a similar fashion
A) 5/7 = 0.714
B) 14/36 = 0.389
C) 21/36 = 0.583
D) 21/48 = 0.4375
We get the same result in choice C as we did in the original rectangle
Answer: C) 21 ft x 36 ft
Answer:
$7724
Step-by-step explanation:
Her estimated quarterly income is $73,040/4 = $18,260.
Her estimated tax rate is ...
27% + 12.4% + 2.9% = 42.3%
This tax rate applied to her estimated earnings gives an estimated quarterly tax of ...
$18,260 × 0.423 = $7723.98
≈ $7724 . . . . . taxes are rounded to the nearest dollar
Answer:
The value has increased by <u>8 percent</u>.
Step-by-step explanation:
Given:
The value of a house has increased by $4,200 in the past year.
The value last year was $52,500.
Now, to find the percent increased.
<em>Value of house = $52,500.</em>
<em>Value of house last year increased by = $4200.</em>
So, to get the percent increased:
Therefore, the value has increased by 8 percent.
Answer:
B complementary angles
Step-by-step explanation:
ED is a line.
Angles EAB and DAB are a linear pair, so they are supplementary.
Angle EAB is a right angle, so angle DAB is also a right angle.
The measure of angle DAB is 90 degrees.
The sum of the measures of angles a and b is 90 degrees.
That makes <a and <b complementary angles.
