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Katyanochek1 [597]
3 years ago
6

What is the size of angle x

Mathematics
1 answer:
mixer [17]3 years ago
5 0

Step-by-step explanation:

180-120 = 60 which is the 2nd angle in triangle.

60+50+x = 180

x = 70

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9x (-2y + 5x) - 4 xy (6x-3y) please the person who answers will be marked as brainliest​. please show working​
Alenkasestr [34]

Answer:

See explanation

Step-by-step explanation:

9x(-2y+5x)-4xy(6x-3y)

By the distributive property this is equal to:

9x(-2y)+9x(5x)-4xy(6x)-4xy(-3y)=\\\\-18xy+45x^2-24x^2y+12xy^2

Hope this helps!

4 0
3 years ago
Selene's checking account balance was -$33, and then she withdrew $42 more. What is her checking account balance after the withd
Rainbow [258]

Answer:

-75

Step-by-step explanation:

WIthdrew = Negative

-33 - 42 = -75

7 0
3 years ago
Read 2 more answers
Kristen is 64 inches tall, and she stands 12 feet away from a streetlight. If she casts an 82-inch-long shadow, how tall is the
o-na [289]

Answer:

176.39 inches or

14.70 feet

Step-by-step explanation:

Consider the right triangle made by Kristen, ground and shadow.

This triangle has one leg as 64 inches.

Next consider the right triangle formed by street light, ground upto shadow tip.

The two triangles have common angle of elevation and also another angle as 90 degrees.

Hence the two triangles would be similar

Also if A is the angle made by hypotenuse of both triangles with the ground we have

tanx=\frac{64}{82}

This value also equals by bigger triangle as

tanx=\frac{h}{82+12(12)}=\frac{h}{226}

From these two we get

h = height of street light =\frac{226(64)}{82} =176.39

6 0
3 years ago
Dina invests $600 for 5 years at a rate of 2% per year compound interest.
Aleks [24]

Answer:

The value of this investment at the end of the 5 years is of $662.5.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Dina invests $600 for 5 years at a rate of 2% per year compound interest.

This means that P = 600, t = 5, r = 0.02, n = 1. Thus

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

A(t) = 600(1 + \frac{0.02}{1})^{t}

A(t) = 600(1.02)^t

Calculate the value of this investment at the end of the 5 years.

This is A(5). So

A(5) = 600(1.02)^5 = 662.5

The value of this investment at the end of the 5 years is of $662.5.

5 0
3 years ago
Rewrite 2 2/5 as an improper fraction. helpp
vesna_86 [32]

Answer: 12\5 :)

Step-by-step explanation: :)

3 0
3 years ago
Read 2 more answers
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