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4 years ago

Directions: Use the image to help you answer the questions in the portfolio.

Mathematics

1 answer:

Ulleksa [173]4 years ago

7 0

Answer:

See explanation

Step-by-step explanation:

Part A.

1. Angle 1 and angle with degree measure of 48° are vertical angles (opposite when two lines intersect). Vertical angles are congruent, so angle 1 has measure of 48°.

2. Angles 1 and 2 are same-side interior angles, they add up to 180°, so

m∠2=180°-m∠1=180°-48°=132°

3. Angles 2 and 3 are alternate exterior angles, they are congruent, so

m∠3=132°

Part B. If Elm Street is perpendicular to Main Street and is also perpendicular to Oak Street, then Main street and Oak Street are parallel.

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Does anyone know how to do this

otez555 [7]

Considering the area of the rectangle, we have that the length is of 8 units and the width is of 10 units.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle of length l and width w is given as follows:

A = lw.

In this problem, the area is of 80 square units, while the length and the width are consecutive even integers, hence:

A = 80.

w = l + 2.

Then:

l(l + 2) = 80

l² + 2l - 80 = 0

(l + 10)(l - 8) = 0.

We need the positive measure, hence:

l - 8= 0 -> l = 8 units.

w = l + 2 = 10 units.

More can be learned about the area of a rectangle at brainly.com/question/10489198

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8 0

2 years ago

Can someone help me Find the value of X

Aleksandr [31]

Answer: x=4

Step-by-step explanation:

similar triangle so corresponding parts are similar

$\frac{5}{10} = \frac{2x-1}{14}$

cross multiply

70 = 20x-10

80 = 20x

x = 4

3 0

3 years ago

Write an equation please help

maks197457 [2]

If she picks up 1/2 of a box for 6 days, then you would multiply 1/2 by 6. And add the 1 box she started out with. (1/2 × 6) +1 = 4

8 0

4 years ago

I don't understand this math problem need help plz!

9966 [12]

Answer:

A' (-4, - 7), B' (-5, -4), C' (-4, -3), D' (-3, -4)

Step-by-step explanation:

When rotating about the origin at an angle of 90° in the counterclockwise direction, the given values of (x, y) are interchanged with y also taking a negative sign. That is ;

(x, y) - - - -> (-y, x)

Therefore, in the question above ;

Translation = (x-2, y+3)

A =(-5, 1) = (-5 - 2, 1 + 3) = (-7, 4) - - -> A' = (-4, - 7)

B =(-2, 2) = (-2 - 2, 2 + 3) =(-4, 5) - - -> B' = (-5, -4)

C =(-1, 1) = (-1 - 2, 1 + 3) = (-3, 4) - - -> C' = (-4, -3)

D =(-2, 0) = (-2 - 2, 0+3) =(-4, 3) - - -> D' = (-3, -4)

5 0

4 years ago

Last year 40 people adopted a manatee through fia's foundation. This year 30% more people adopted a manatee. How many people ado

Natali [406]

____________________________________________________

Answer:

Your answer would be 52 people.

____________________________________________________

Step-by-step explanation:

To solve a problem like this, we would want to find out the TOTAL amount of people after figuring out how much increased.

In the question, it is saying that there was a 30% increase from the 40 people that adopted a manatee last year.

There are two ways to solve this:

First way to solve this, we would need to figure out how much is 30% of 40.

To do that, we would multiply 40 by 0.30

40 × 0.30 = 12

Now we found how much 30% of 40 is. What we have to do now is add 40 and 12 to get the total amount of people that adopted a manatee this year.

40 + 12 = 52

Second way to solve it:

This is probably the more faster way to solve the question like this. We know that the increase was 30%, and that last years number was 40. So we would multiply 40 by 1.3

40 × 1.3 = 52

The second way is probably more quicker than the first, but it's your choice on which way you want to use. They both will give you the same answer at the end.

Your FINAL answer would be 52 people.

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4 0

4 years ago