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3 years ago

Two angles are supplementary. The measure of one angle is 4 more than 7 times the other angle. Find the measures of both angles.

Mathematics

2 answers:

mylen [45]3 years ago

6 0

Answer:

<u>The smaller angle measures 44° and the larger measures 136°</u>

Step-by-step explanation:

Smaller angle = x

Larger angle = 3x + 4

Therefore, we have:

x + 3x + 4 = 180

4x = 180 - 4

4x = 176

x = 176/4

x = 44 ⇒ 3x + 4 = 136

The smaller angle measures 44° and the larger measures 136°

<u>Can I get a brainliest plz?</u>

Tatiana [17]3 years ago

6 0

Answer:

Angle one is 158.

Angle two is 22.

Step-by-step explanation:

Hope this helps!

22*7=154

144+4=158

22+158=180

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If angle B measures 25°, what is the approximate perimeter of the triangle below? A right triangle is shown. Angle A is 90 degre

Bad White [126]

Answer:

Perimeter of the triangle = 10.48 unit

Step-by-step explanation:

From the ΔABC

∠A = 90°

∠B = 25°

∠C = 180-90-25 = 65°

AB = 4 unit

From the sine rule

$\frac{4}{\sin65} = \frac{AC}{\sin25} = \frac{BC}{\sin65}$

$AC = 4 (\frac{\sin25}{\sin65} )$

AC = 1.86 unit

BC = $4 (\frac{ \sin90}{\sin60} )$

BC = 4.62 unit

Perimeter of the triangle = AB + BC + CA

Perimeter of the triangle = 4 + 4.62 + 1.86

Perimeter of the triangle = 10.48 unit

4 0

3 years ago

At the sewing store, Brenda bought a bag of mixed buttons. The bag included 24 buttons, of which 25% were large. How many large

rosijanka [135]

Answer: 6

Step-by-step explanation:

Total buttons in the bag= 24

%of large button is 25%

0.25*24=6

Number of large button is 6

6 0

3 years ago

Write the expression as a difference of a monomial and a trinomial: 2a^4+5a^3-2a^2+4

Ksenya-84 [330]

<h3>Answer:</h3>

(2a^4+5a^3+4) -2a^2

<h3>Step-by-step explanation:</h3>

There are 4 terms. Your <em>trinomial</em> could consist of <em>any three</em> of them. Here, we've chosen to use the one with the negative sign as the monomial, because the question asks for a difference.

6 0

3 years ago

The amount of money that college students spend on rent each rent month is usually between 300 and 600.However there are a few s

Ivenika [448]

Answer:

Median

Step-by-step explanation:

The distribution of rent is most likely skewed, and the median is a resistant measurement, unlike the mean.

8 0

3 years ago

A stock has had returns of 11 percent, 18 percent, 20 percent, −13 percent, 25 percent, and −9 percent over the last six years.

Naily [24]

Answer: a) 8.67%, b) 7.64%.

Step-by-step explanation:

Since we have given that

Stock has returns is given by

11 percent, 18 percent, 20 percent, −13 percent, 25 percent, and −9 percent

Number of years = 6

Arithmetic average returns for the stock is given by

$\dfrac{11+18+20-13+25-9}{6}\\\\=8.67\%$

Geometric average returns for the stock is given by

$[(1+0.11)\times (1+0.18)\times (1+0.20)\times (1-0.13)\times (1+0.25)\times (1-0.09)]^{\frac{1}{6}}-1\\\\=[1.11\times 1.18\times 1.20\times 0.87\times 1.25\times 0.91]^{\frac{1}{6}}-1\\\\=7.64\%$

Hence, a) 8.67%, b) 7.64%.

6 0

3 years ago