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2 years ago

What is the measure of Angle 1 and Angle 2?

Mathematics

1 answer:

Oksanka [162]2 years ago

3 0

The measure of angle 1 would be (3x+2) and the measure of angle 2 would be (5x+10). There is no way to determine the exact degrees of these angles because not enough information is given.

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What the equation parallel to y=-1/5x +7 and containing the point(-10,-3)

Agata [3.3K]

The equation of line parallel to $y=-\frac{1}{5} x +7$ and containing the point(-10,-3) is $y=-\frac{1}{5}x-5$

Step-by-step explanation:

We need to write the equation parallel to $y=-\frac{1}{5} x +7$ and containing the point(-10,-3)

The standard form of point slope equation is:

$y=mx+b$

where m is slope and b is y-intercept

Comparing the given equation $y=-\frac{1}{5} x +7$ with standard form the slope is m= -1/5

Since the lines are parallel the slope of new line is m = -1/5

Now finding b (y-intercept)

Using slope m=-1/5 and point (-10,-3)

$y=mx+b\\-3=-\frac{1}{5}(-10)+b\\-3=2+b\\b=-3-2\\b=-5$

So, b= -5 and slope = -1/5 the equation of new line is:

$y = mx+b\\y=-\frac{1}{5}x-5$

So, The equation of line parallel to $y=-\frac{1}{5} x +7$ and containing the point(-10,-3) is $y=-\frac{1}{5}x-5$

Keywords: Point Slope form

Learn more about point slope form at:

#learnwithBrainly

7 0

3 years ago

The total length of wires a b and c is 445 cm wire a is 45 cm longer then wire b and wire b is half as long as wire c how long i

Oksana_A [137]

Answer:

$a = 145\ cm$

Step-by-step explanation:

Given

$a + b + c = 445$

$a = 45 + b$

$b = \frac{1}{2}c$

Required

Determine the length of a

Solve for c in $b = \frac{1}{2}c$

$2 * b = \frac{1}{2}c * 2$

$2b = c$

$c = 2b$

Substitute $c = 2b$ and $a = 45 + b$ in $a + b + c = 445$

$a + b + c = 445$

$45 + b + b + 2b = 445$

$45 + 4b = 445$

Solve for 4b

$4b = 445 - 45$

$4b = 400$

Solve for b

$b = 400/4$

$b = 100$

Recall that: $a = 45 + b$

$a=45+100$

$a = 145\ cm$

6 0

3 years ago

What is the value of the expression when b = 3? 4b to the 4 power

Mekhanik [1.2K]

<span> Just plug in the value of b=3 in 4b^4, then you solve it, and your answer is 324</span>

3 0

3 years ago

How do I solve

Maslowich

$Use:\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\a^n\cdot a^m=a^{n+m}\\\\\sqrt[n]{a}=a^\frac{1}{n}\\------------------------\\\\\left(16n^4\right)^{\frac{5}{4}}=16^\frac{5}{4}\left(n^4\right)^\frac{5}{4}=16^{1\frac{1}{4}}n^{4\cdot\frac{5}{4}}=16^{1+\frac{1}{4}}n^5=16^1\cdot16^\frac{1}{4}\cdot n^5\\\\=16\cdot\sqrt[4]{16}\cdot n^5=16\cdot2\cdot n^5=\boxed{32n^5}\\\\\sqrt[4]{16}=2\ because\ 2^4=16\\\\\text{Answer}\ \boxed{\left(16n^4\right)^\frac{5}{4}=32n^5}$