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3 years ago

6

Parallel lines m and n are cut by the transversal line t prove <1 and <4 are supplementary move options to the boxes to co

mplete the proof

1 answer:

vekshin13 years ago

3 0

You need to measure the parallel lines on and add them

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Can anyone help with the answers to all these questions with an explanation please?

saveliy_v [14]

ANSWER:

1) 25.70 cm 2) 30.84 cm 3) 10.71 km 4) 1.07 km 5) 6.71 cm 6) 10.07 mm

EXPLANATION:

<em>1. Know that the circumference formula for a full circle is:</em>

$C = 2\pi r$

The value of pi ( $\pi$ ) = 3.14

The radius ( $r$ ) will be given in the diagrams.

<em>2. Now we can figure out the perimeters. </em>

<u>Shape One: Semi-circle</u>

C = 2 x 3.14 x 5

C = 31.4 cm

Divide the circumference by 2 because it is a semi-circle. Then add 10 cm to this (because the flat side is 10 cm).

P = $\frac{31.4}{2} +10$

P = 25.7 cm ≈ 25.70 cm

<u>Shape Two: Semi-circle</u>

C = 2 x 3.14 x 6 (the picture shows the diameter so we need to half that to get the radius)

C = 37.68 cm

Divide the circumference by 2 because it is a semi-circle. Then add 12 cm to this (because the flat side is 12 cm).

P = $\frac{37.68}{2}+12$

P = 30.84 cm

<u>Shape Three: Quadrant</u>

C = 2 x 3.14 x 3

C = 18.84 km

Divide the circumference by 4 because it is a quadrant. Then add 6 km to this (because the two flat sides are 3 km each and so it is 6 km total).

P = $\frac{18.84}{4} +6$

P = 10.71 km

<u>Shape Four: Quadrant</u>

C = 2 x 3.14 x 0.3

C = 1.884 km

Divide the circumference by 4 because it is a quadrant. Then add 0.6 to this (because the two flat sides are 0.3 km each and so it is 0.6 km total).

P = $\frac{1.884}{4} + 0.6$

P = 1.071 km ≈ 1.07 km

<u>Shape Five</u>

C = 2 x 3.14 x 1

C = 6.28 cm

For this shape, we need to subtract the circumference of the missing sector from the circumference of the full circle to obtain the circumference for this shape. So, the circumference for the shape would be:

C = $6.28 - \frac{6.28}{4}$

C = 6.28 - 1.57

C = 4.71 cm

Then add the flat sides (1 cm + 1 cm = 2 cm) to this circumference to get the perimeter.

P = 4.71 + 2

P = 6.71 cm

<u>Shape Six</u>

C = 2 x 3.14 x 1.5 (Divide the 3 mm diameter by 2 to get the radius)

C = 9.42 cm

Do the same thing you did for Shape 5.

C = $9.42 - \frac{9.42}{4}$

C = 7.065 mm

Then add the flat sides (1.5 + 1.5 = 3) to this circumference.

P = 7.065 + 3

P = 10.065 mm ≈ 10.07 mm

7 0

3 years ago

HELPPLS FAST URGENT !!!!

Sunny_sXe [5.5K]

Answer:

The answer is C

Step-by-step explanation:

This is because the domain is always on the x axis while the range is always on the y axis.

I hope i helped you out, and Brainliest is always appreciated :)))

8 0

3 years ago

Read 2 more answers

Pls help :)) this question is confusing for me :)

Temka [501]

Given:

$y^{2}(2 y-5)-8 y+20$

To find:

The product of the expression.

Solution:

$y^{2}(2 y-5)-8 y+20=y^{2}(2 y-5)+(-8 y+20)$

Take out -4 as a common factor in Last two terms.

$=y^{2}(2 y-5)-4(2 y-5)$

Make sure the terms in both brackets must be same.

Take out common factor (2y - 5) from both terms.

$=(2 y-5)(y^{2}-4)$

4 can be written as 2².

$=(2 y-5)\left(y^{2}-2^2\right)$

Using the identity: $(a^2-b^2)=(a-b)(a+b)$

$=(2 y-5)(y-2)(y+2)$ .

The product is $(2 y-5)(y-2)(y+2)$ .

5 0

3 years ago

After taking the first exam, 15 of the students dropped the class. The value 15 describes _____ .

Bess [88]

Answer:

After taking the first exam, 15 of the students dropped the class. The value 15 describes a characteristic of a population - first choice.

3 0

3 years ago

Select the correct answer from the drop-down menu.

m_a_m_a [10]

Answer:

They will work together and print 200 T-shirts in 37.5 minutes.

Step-by-step explanation:

One machine can print 200 T-shirts in 50 minutes.

So, in one minute that machine can print $\frac{200}{50} = 4$ T-shirts.

Again, the other machine can print 200 T-shirts in 150 minutes.

So, in one minute the other machine can print $\frac{200}{150} = 1.33$ T-shirts.

Therefore, working together for one minute both the machines will print (4 + 1.33) = 5.33 number of T-shirts.

Hence, they will work together and print 200 T-shirts in $\frac{200}{5.33} = 37.5$ minutes. (Answer)

3 0

3 years ago