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1 year ago

8

What is the measure of angle 1?

1 answer:

ratelena [41]1 year ago

6 0

I think it’s 94 sorry if I’m wrong

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Find the value of r so the line passes through each pair of points has the give slopes

Art [367]

Answer:

$r=64$

Step-by-step explanation:

First, let's start with what we have. If we use $y=mx+b$ here's what we can put in:

$y=-4x+b$

Then we can use one of the given points to find the y-intercept. Since the only complete one is (12,10), we'll use that.

$10=-4(12)+b\\10=-48+b\\58=b$

So now we have $y=-4x+58$ .

Now we can use our other point with the missing y-value and solve for y.

$r=-4(-2)+58\\r=64$

So the missing value is 64.

Hope this helps!

7 0

2 years ago

30 is 2/3 of what number

r-ruslan [8.4K]

Answer:45

Step-by-step explanation:

Key Word:of

30*2/3 = 45

6 0

2 years ago

Read 2 more answers

(6783+2684)+2566-25634+(-38757y678+(678)y678)(6788+5445)-78+(5534(78)+684)67y678a456=?

Whitepunk [10]

−

2259387936

a

456

y

678

−

465820407

y

678

−

13601

7 0

2 years ago

How do I solve number 10? I'm not sure if I did it right.

grandymaker [24]

No, you did it right

3 0

2 years ago

Prove the divisibility:<br><br>45^45·15^15 by 75^30

garri49 [273]

Answer:

$3^{75}$ .

Step-by-step explanation:

We have been an division problem: $\frac{45^{45}*15^{15}}{75^{30}}$ .

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:

$45^{45}=(9*5)^{45}=9^{45}*5^{45}$

$15^{15}=(3*5)^{15}=3^{15}*5^{15}$

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

Substituting these values in our division problem we will get,

$\frac{9^{45}*5^{45}*3^{15}*5^{15}}{15^{30}*5^{30}}$

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

$\frac{9^{45}*5^{(45+15)}*3^{15}}{15^{30}*5^{30}}$

$\frac{9^{45}*5^{60}*3^{15}}{15^{30}*5^{30}}$

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

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

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

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

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

$\frac{3^{105}*5^{60}}{3^{30}*5^{60}}$

$\frac{3^{105}}{3^{30}}$

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

$\frac{3^{105}}{3^{30}}=3^{105-30}$

$3^{105-30}=3^{75}$

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

7 0

2 years ago