All categories

2 years ago

Giren: Lines a and b Are perpendicular. Prove: <3 and <4 are complementary.

Mathematics

1 answer:

Nikolay [14]2 years ago

7 0

Since lines a and b are perpendicular, that means it is a right angles so angles a+b=90 so they are complementary

You might be interested in

The number of kilometers Tony travels in a canoe, d, varies directly with the amount of time spent in the canoe, t. When Tony ca

HACTEHA [7]

Answer:

d= 4t

Step-by-step explanation:

to find distance, the equation is speed multiplied by time and in this question we are given the time and distance so we have to divide 9km by 2.25hrs to find the speed: 9÷2.25= 4 so, the equation would be d=4t which means that to find distance we need to multiply 4 by the time.

7 0

3 years ago

Write an equivalent expression for 7(2x - 3y + 6) by modeling and by using the distributive property.

alexandr402 [8]

14x-21y+42 is the answer to this question.

3 0

3 years ago

The graph of g(x) is a transformation of the graph of f(x)=4x .

Alenkasestr [34]

Answer:

g(x) = 4^x + 1.

Step-by-step explanation:

The graph of f(x) = 4^x passes through the point (0, 1) because when x = 0, 4*0 = 1. Also when x = 1, 4^x= 4. So it passes through (1, 4).

For g(x) we have corresponding points (0, 2) and (1, 5).

So we see that g(x) is a similar graph but it has been translated up 1 unit.

7 0

3 years ago

Read 2 more answers

You start driving north for 9 miles, turn right, and drive east for another 40 miles. At the end of driving, what is your straig

Vsevolod [243]

The straight line distance from the starting point is 41 miles.

<u>Explanation:</u>

Given:

Distance covered towards north, n = 9 miles

Distance covered towards east, e = 40 miles

Distance from the origin to the end, x = ?

If we imagine this, then the route forms a right angle triangle

where,

n is the height

e is the base

x is the hypotenuse

Using pythagoras theorm:

(x)² = (n)² + (e)²

(x)² = (9)² + (40)²

(x)² = 1681

x = 41 miles

Therefore, the straight line distance from the starting point is 41 miles.

5 0

2 years ago

A recent study asked U. S. Adults to name 10 historic events that occurred during their lifetime that have had the greatest impa

Nadusha1986 [10]

Using the z-distribution, as we are working with a proportion, it is found that the 99% confidence interval for the proportion of all U. S. Adults who would include the 9/11 attacks on their list of 10 historic events is (0.7458, 0.7942). It means that we are 99% sure that the true proportion for all U.S. adults is between these two bounds.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, the parameters are:

$z = 2.575, n = 2000, \pi = 0.77$

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 2.575\sqrt{\frac{0.77(0.23)}{2000}} = 0.7458$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 2.575\sqrt{\frac{0.77(0.23)}{2000}} = 0.7942$

The 99% confidence interval for the proportion of all U. S. Adults who would include the 9/11 attacks on their list of 10 historic events is (0.7458, 0.7942). It means that we are 99% sure that the true proportion for all U.S. adults is between these two bounds.

More can be learned about the z-distribution at brainly.com/question/25890103

7 0

2 years ago