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Ivenika [448]
3 years ago
6

What’s the measure of angle X?

Mathematics
1 answer:
Arada [10]3 years ago
4 0

Answer:

x = 84°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

129° is an exterior angle of the triangle, thus

x + 45° = 129° ( subtract 45° from both sides )

x = 84°

The 2 triangles formed by the tree/ shadow and Jordan/ shadow are similar and ratio of corresponding sides are equal, that is

let h be the height of the tree, then

\frac{h}{7} = \frac{50}{10} = 5 ( multiply both sides by 7 )

h = 35

The height of the tree is 35 ft

You might be interested in
The first and second steps to solve the equation 3x/5+5=20 are
PtichkaEL [24]

Answer:

66\frac{2}{3}

Step-by-step explanation:

\frac{3x}{5+5}=20\\\mathrm{Multiply\:both\:sides\:by\:}10\\\frac{10\cdot \:3x}{5+5}=20\cdot \:10\\Simplify\\3x=200\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{200}{3}\\Simplify\\x=\frac{200}{3}

66\frac{2}{3}

3 0
3 years ago
Read 2 more answers
A man buys a car for $33,000 with no money down. He pays for the car in 48 equal monthly payments with interest at 9% per annum,
Crazy boy [7]

Answer:

Man has to pay $1921.19 per month.

Step-by-step explanation:

The formula of Compound Interest is:

A = P(1+\frac{r}{n})^{nt}

where A = Amount

P = Principle

r = rate

n = Number of Compounding per year

t = total number of year

Here, A = 33,000, r = 9% = 0.09, n = 12(monthly), and t = 48(48 months).

Putting all these values in above formula:

33000 = P(1+\frac{0.09}{12})^{12\times4}

⇒ 33000 = P(\frac{12.09}{12})^{48}

⇒ 33000 = P(1.0075)^{48}

⇒ 33000 = P(1.4314)}

⇒ P = 33000 ÷ 1.4314 = 23054.35

Monthly payment = 23054.35 ÷ 12 = 1921.19

Hence, Man has to pay $1921.19 per month.

8 0
4 years ago
31 workers are working on a construction site. 5 more workers work for company A than for company B. How many workers work for e
Alona [7]
13 I believe as 31-5=26/2=13 Hope you'll find this helpful
6 0
3 years ago
Monica has a triangular piece of fabric. The height of the triangle is 27 inches and the triangle's base is 18 inches. Monica sa
Fed [463]
Monica forgot to multiply by 1/2
The area of the fabric is 243 in.2

Explanation:
The formula for the area of a triangle is:
1/2 • base • height

Monica’s error is that she only multuplied the base and height, without multiplying 1/2 also.

The area of the fabric is 243 in.2 because:
1/2 • 18 • 27 = 243

Or you could just divide the wrong area Monica solved (486 in2) by 2. You will also get 243 in.2

Have a nice day! And mark me brainliest please!
5 0
3 years ago
The first quartile of a data set is 72, and the third quartile is 92. Which of these values in the data set is an outlier? A.61
marishachu [46]
IQR = Q3 - Q1 = 92 - 72 = 20
20 * 1.5 = 30

72 - 30 = 42....outlier is anything below 42
92 + 30 = 122...outlier is anything above 122

so the outlier is 41
3 0
3 years ago
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