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finlep [7]
3 years ago
12

4. Triangle Relationships- Interior and Exterior Angles

Mathematics
1 answer:
zaharov [31]3 years ago
4 0

Answer:

Value of ∠1 = 102°

Value of ∠1 = 72°

Step-by-step explanation:

Given:

∠ S = 42°

∠ A = 30°

Find:

Value of ∠1

Value of ∠2

Computation:

Using angle sum property;

Sum of all interior angle of a triangle = 180°

∠ S + ∠ A + ∠ 1 = 180

42 + 30  + ∠ 1 = 180

72 + ∠ 1 = 180

∠ 1 = 180 - 72

∠ 1 = 102

Value of ∠1 = 102°

∠ 1 and ∠ 2 makes a straight line

So,

∠ 1 + ∠ 2 = 180  

102 + ∠ 2 = 180  

∠ 2 = 180 - 102

∠ 2 = 72

Value of ∠1 = 72°

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6
stich3 [128]

Answer: About 10 ft.

Use Pythagorean's Theorem!

c=\sqrt{9^2+3^2}

9 * 9 = 81

3 * 3 = 9

81 + 9 = 90

\sqrt{90\\} = 3\sqrt{10} ≈ 10 ft.

3 0
3 years ago
An employee earns a gross pay of $1,200.00 per week. The employee's net pay is $850.00. The employee's voluntary 401(k) contribu
Yuliya22 [10]

Answer:

$300 was deducted from tax. The tax rate is 26.1%

Step-by-step explanation:

An employee earns a gross pay of $1,200.00 per week. The employee’s net pay is $850.00. The employee’s voluntary 401(k) contribution is $50.00 per month.

There was blank deducted for taxes. The tax rate is blank

Solution:

Contributions that are made for retirement such as 401(k) contribution plans are made on a pretax basis. This means that they are removed from your taxable income, thereby reducing the tax.

Gross pay = $1200

Taxable income = Gross pay -  401(k) contribution

Taxable income = $1200 - $50 = $1150

Net pay = $850

Tax = Taxable income - Net pay

Tax = $1150 - $850

Tax = $300

Tax rate = (Tax / taxable income) * 100%

Tax rate = ($300 / $1150) * 100% = 26.1%

3 0
3 years ago
Is the quotient of an integer divided by a nonzero integer always a rational number ? Explain.
Ber [7]
Yes. Examples: 1/1=1        2/4=2           1/2=0,5                    1/0=?                      

4 0
4 years ago
A town’s population is 50,000 in 2018. The population has been growing at a rate of 3.7% each year. What is the estimated popula
Fantom [35]

The formula for exponential growth is: Total = Starting value(1 + rate)^time

2018 to 2025 is 7 years:

Total = 50,000(1+0.037)^7

Total = 50,000(1.037)^7

Total = 64,479

7 0
3 years ago
5(a – 1) – 15 = 3(a + 2) + 4
steposvetlana [31]

Answer:

A=15

All you have to do is copy paste your question to the search engine and G0ogle (your search browser) automatically answers it.

3 0
3 years ago
Read 2 more answers
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