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3 years ago

Find two supplementary angles if the measure of one angle is three times the measure of the second

Mathematics

1 answer:

Colt1911 [192]3 years ago

8 0

Hello :
x+3x=180
4x=80
x=180/4
x=45°

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Why isn't 20 over 100 proportional

Rina8888 [55]

It isn't proportional because it is not reduced to the lowest terms

Instead 20 over 100 = 1 over 5

Hope this helps!

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3 years ago

Write f(x)=8x^2-4x+11 in vertex form

Vlad [161]

Answer:

$f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}$

$f(x)=8(x-0.25)^{2}+10.5$

Step-by-step explanation:

we have

$f(x)=8x^{2}-4x+11$

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

Convert to vertex form

Factor the leading coefficient

$f(x)=8(x^{2}-\frac{1}{2}x)+11$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+11-\frac{1}{2}$

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+\frac{21}{2}$

Rewrite as perfect squares

$f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}$ ----> equation in vertex form

$f(x)=8(x-0.25)^{2}+10.5$

The vertex is the point (0.25,10.5)

3 0

3 years ago

HELP IM ON A TIME LIMIT AND IDK THE ANSWER

aleksandrvk [35]

Answer:

Check step-by-step explanation

Step-by-step explanation:

A = $\frac{1}{2}$ $d_{1} d_{2}$

to solve for $d_{1}$ :

$d_{1}$ = $\frac{2A}{d_{2}}$

to solve for $d_{2}$ :

$d_{2}$ = $\frac{2A}{d_{1}}$

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3 years ago

Which distribution has the greatest spread?

puteri [66]

Answer:

Distribution 4, mean is 20 and standard deviation is 3.2

Step-by-step explanation:

The standard deviation tells us on average how far each of our data values is from the mean. A standard deviation that is larger than the others will mean a distribution that is more spread out than the others; 3.2 is the largest standard deviation, so Distribution 4 has the greatest spread.

7 0

3 years ago

Read 2 more answers

Mike has 4 black marbles tom has 2 black marbles how many black marbles do they have in all

kompoz [17]

Answer:

Step-by-step explanation:

4+2

4 0

3 years ago