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3 years ago

the average of the five number was 6.8. If the first four numbers were 4.3, 5.2, 7, and 6.8, What was the fifth number?

1 answer:

6 0

Let x be the fifth number
$\frac{4.3 + 5.2 + 7 + 6.8 + x}{5} = 6.8$
⇔ $\frac{23.3 + x}{5} = 6.8$
⇔ 23.3 + x = 34
⇔ x = 10.7

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What relationship do angles 1 & 6 have?

RideAnS [48]

Answer:

unrelated

Step-by-step explanation:

angle 1 and angle 6 are same-side, exterior angles, which is not in the options

6 0

3 years ago

Solve the attached question #yohaniJaman

aksik [14]

HETY is a parallelogram.

HT and EY are diagonals. We know that diagonals divides the parallelogram into two equal parts.

So ar(HET) = ar(HTY)

And, ar(HEY) = ar(EYT) now, in AHET, diagonal EY bisects the line segment HT and also the AHET,

∴ar(AHOE) = ar(AEOT)

Similarly in AETY

ar(ΔΕΟΤ) = ar(ΔΤΟΥ)

And in AHTY,

ar(ATOY) = ar(AHOY)

That means diagonals in parallelogram divides it into four equal parts.

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3 years ago

An angle measures 156° less than the measure of its supplementary angle. What is the measure of each angle?

Advocard [28]

Answer:

Angle 1: 168

Angle 2: 12

Explanation:

I did the math! basically, i did 168-156, and got 12. Then i added, 168+12, and got 180. So i know that both angles together make 180 degrees, which is the definition of supplementary angles.

7 0

4 years ago

Find the area of the figure. Use 3.14 for pie . Round your answer to the nearest tenth.

gizmo_the_mogwai [7]

Answer:

538.3

Step-by-step explanation:

First of all find the area of the rectangle

L*W

15*30

450

Now find the area of semi circle

1/2 $\pi r^{2}$

Since radius is half a diameter divided 15 by 2=7.5

1/2 $\pi 7.5^{2}$ 7.5 times 7.5= 56.25

1/2*3.14*56.25

56 times 3.14 is 176.625 now multiply 176.625 by 1/2

Answer is 88.3125

Now add 450 to 88.3125

Final answer: 538.3125

7 0

3 years ago

I'M OFFERING 20 POINTS-

Dafna11 [192]

Answer:

Third option is correct. Scale factor 3 ; enlargement.

Step-by-step explanation:

It is given that the figure A'B'C'D' is a dilation of figure ABCD.

We know that after dilation the corresponding sides of image and preimage are in the same proportion.

The image of AD is A'D'.

From the figure it is noticed that the A(-1,2), D(-1,-1), A'(-3,6) and D'(-3,-3).

Distance formula is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$AD=\sqrt{(-1+1)^2+(-1-2)^2}=\sqrt{9}=3$

$A'D'=\sqrt{(-3+3)^2+(-3-6)^2}=\sqrt{81}=9$

Scale factor is constant which represents the relation between image and preimage.

$k=\frac{A'D'}{AD}$

$k=\frac{9}{3}$

$k=3$

Therefore the scale factor is 3.

If k>0 it means enlargement and if k<0 it means reduction. Therefore third option is correct.

3 0

4 years ago

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