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3 years ago

Find the value of x in degrees

Mathematics

1 answer:

ipn [44]3 years ago

4 0

Answer:

x=37

Step-by-step explanation:

angles inside a triangle add up to 180

add all angles equal to 180

(x+10)+(3x-5)+(x)=180

remove parenthesis, combine like terms

5x-5=180

add 5 both sides

5x=185

divide by 5

x=37

angles: 37, 47, 106

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20% of a spring basket is peeps. There are 8 peeps. What is the total number of items in the basket?

murzikaleks [220]

8*100=20*x
800 =20x
40 =x
40 items are in the basket

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3 years ago

Read 2 more answers

After lunch, you need to buy new shoes. You bought a pair last year and they cost $79.00. Now, the same shoes cost $86.00. By wh

valentina_108 [34]

Answer:

The main answer: $4.84

Step-by-step explanation:

County A: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!

$75 * 0.0725 = $5.4375

Add the original price and the sales tax.

$75 + $5.4375 = $80.4375

County B: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!

$70 * 0.08 = $5.6

Add the original price and the sales tax.

$70 + $5.6 = $75.6

Then take the difference.

80.4375 – 75.6 = 4.8375

Round to the nearest hundredth: $4.84

8 0

3 years ago

What is the answer for this

KonstantinChe [14]

Answer: $y=\frac{1}{30}x+1$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

You need to find slope of the line with the formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Pick to points of the given line. You can choose the point (60,3) and the point (30,2).

Then, substituting into the formula:

$m=\frac{2-3}{30-60}=\frac{1}{30}$

You can observe in the graph that the line intercepts the y-axis at the point (0,1), therefore "b" is:

$b=1$

Substituting the slope and the y-intercept found into $y=mx+b$ , you get the equation of this line:

$y=\frac{1}{30}x+1$

Where "y" represents the Height (1,000 ft) and "x" represents the Time in seconds.

3 0

3 years ago

Prove divisibility 45^45·15^15 by 75^30

Anuta_ua [19.1K]

Answer:

$3^{75}$

Step-by-step explanation:

We are asked to divide our given fraction: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(3*15)^{45}=3^{45}*15^{45}$

$75^{30}=(5*15)^{30}=5^{30}*15^{30}$

Substituting these values in our division problem we will get,

$\frac{3^{45}*15^{45}*15^{15}}{5^{30}*15^{30}}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}$

$\frac{3^{45}*15^{60}}{5^{30}*15^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{45}*15^{60-30}}{5^{30}}$

$\frac{3^{45}*15^{30}}{5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{3^{45}*(3*5)^{30}}{5^{30}}$

$\frac{3^{45}*3^{30}*5^{30}}{5^{30}}$

Upon canceling out $5^{30}$ we will get,

$3^{45}*3^{30}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$3^{45+30}$

$3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

8 0

3 years ago

Which is larger a millimeter or a millimeter

maksim [4K]

They are exactly the same thing

3 0

3 years ago