What additional information is needed to show that quadrilateral WXYZ is a trapezoid

Answer:

DG = 30

Step-by-step explanation:

Given:

DH = 6

DE = 4

EF = 16

Required:

DG

Solution:

DG = DH + HG

DG = 6 + HG

Let's find HG

Given that HE is parallel to the third side of ∆DGF, based on the side-splitter theorem, the other two sides of ∆DGF are divided proportionally.

Therefore,

DH/HG = DE/EF

6/HG = 4/16

Cross multiply

HG*4 = 16*6

HG = 96/4

HG = 24

✔️DG = 6 + HG

DG = 6 + 24

DG = 30

Answer:

a. 24 woman

b. 28 men and 24 women

Step-by-step explanation:

a.

given: men to women = 7:6

find: number of women

solution: 28 / 7 = 4, 4 * 6 = 24 women

b.

given: number of men

find: number of men and women

solution: 28 men and 24 women

hope this helps....

Answer:

A) 24 women

B) 52 men and women are at the meeting

Step-by-step explanation:

A)

Let y = women at the meeting

7:6 = 28:y

7/6 = 28/y

6×38 = 7y

6×28⁴/7¹ = 7y¹/7¹

y= 6×24

y=24

B)

Number of women at the meeting = 24

Number of men at the meeting = 28

Total number of people at the meeting = 24+28

= 52

Note: Consider x be the breadth of the box.

Given:

The surface area of the box is 204.25 square feet.

Length of the box = 10 ft

Breadth of the box = x ft

Height of the box = 6.5 ft

To find:

The value of x.

Solution:

The surface area of a cuboid is:

[tex]SA=2(lb+bh+hl)[/tex]

Where, l is length, b is breadth and h is height of the cuboid.

Putting [tex]SA=204.25,  l=10,\ b=x,\ h=6.5[/tex] in the above formula, we get

[tex]204.25=2(10\times x+x\times 6.5+6.5\times 10)[/tex]

[tex]204.25=2(10x+6.5x+65)[/tex]

[tex]204.25=2(16.5x+65)[/tex]

Using distributive property, we get

[tex]204.25=2(16.5x)+2(65)[/tex]

[tex]204.25=33x+130[/tex]

[tex]204.25-130=33x[/tex]

[tex]74.25=33x[/tex]

Divide both sides by 33.

[tex]\dfrac{74.25}{33}=x[/tex]

[tex]2.25=x[/tex]

Therefore, the correct option is B.

Answer:

Yes.

Step-by-step explanation:

I don't really know how to explain this other than use a calculator.

Hope that this helps!

Answer:

165 square ft

Step-by-step explanation:

Answer:

c) None of these answers

Step-by-step explanation:

8 students own a cat

In this, we count the students who own both a dog and a cat, and the students who own only a cat.

5 students own both a cat and a dog.

So of the 8 who own a cat, 5 own both a cat and a dog, and 8 - 5 = 3 own only a cat.

So the correct answer is given by option c, as 3 is not an option.

Answer:yes

Step-by-step explanation:99

Answer:

it the first diagram for this question.

Answer:

X= 9//

Step-by-step explanation:

abc = efg

ac + cd = eg + gh

9 + (x+2) = 6 + (2x-4)

9 - 6 = 2x-4 - (x+2)

3 = x - 6

3+6 = x

9 = x//

Answer:

too blurry cant read it

Step-by-step explanation:

.........................................................

Answer:

22 feet²

Step-by-step explanation:

We are given:

height of tree h = 45 inches

Circumference= πd × inches

But d = 22.2inches

Therefore area will be

Area = 22.2π × 45 inches²

Area = 3137 inches²

Let's convert from inches² to feet², we have:

1 foot = 12 inches.

Therefore,

1 square foot = 1foot × 1foot = 12inches×12inches

= 3137inches² / 144 inches²

= 22feet²

Note: I attached missing data which states that diameter at year 13 is 22.2inches

Answer: 22

Step-by-step explanation:

simple

Step-by-step explanation:

Answer:

See below. Remember to take the inverse trig function of both sides!

Step-by-step explanation:

The solution to [tex]tanx=\frac{23}{41}[/tex] is [tex]x=tan^{-1}(\frac{23}{41})=29.29136217^\circ[/tex]

Similarly, the solution to [tex]sinx=\frac{23}{45}[/tex] is [tex]x=sin^{-1}(\frac{23}{45})=30.73786867^\circ[/tex]

Answer:

-3/7

Step-by-step explanation:

Parallel lines have the same slope

If the green line has a slope of -3/7, the red line has a slope of -3/7

Answer:

1/4

Step-by-step explanation:

Probability is the number of desirable outcomes divided by the number of total outcomes. We can tell these events depend on each other because the batteries are picked without replacement. To find the probability of two dependent events, event that depend on each other, we can find the probability of the first event and the probability of the second event happens if the first is given and multiply them. In this case, the first event is selecting a used battery and the second is picking a new battery.

The total number of outcomes the basically the total amount of batteries that can be chosen. This is 15 + 10 or 25 outcomes. 10 of these batteries are used, and that would correspond to the amount of desirable outcomes because we want to pick a used one. From this, we can say the probability of picking a used battery is 10/25 which simplifies to 2/5.

To find the probability of picking a new battery after picking a used one, we can start by stating the amounts of each battery before the second draw. Since we already picked a used battery, our new totals will be 24 batteries, which 9 are used and 15 are new. Now, we can do the same thing a before, the number of desirable outcomes over the total. We get 15/24 which simplifies to 5/8.

To find the total probability, we multiply the two getting: 2/5 * 5/8 = 1/4.

Answer:

b. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).

Step-by-step explanation:

The critical value for one tailed test is t ∝(7) > 1.895

A one tailed test is performed to test the claim that advertisements were viewed more in the morning (before noon) or in the evening (after 5pm)

The null and alternative hypotheses are

H0: μm = μe   vs     Ha μm > μe

where μm is the mean of the morning and μe is the mean of evening.

The calculated value of t = -1.152587077  which is less than the critical region hence the null hypothesis cannot be rejected .

P(T<=t) one-tail 0.143458126 > 0.05

If two tailed test is performed the critical region is t Critical two-tail 2.364624252

and the calculated t value is  -1.152587077  which again does not lie in the critical region .

Hence μm =  μe or    μm ≤ μe

P(T<=t) two-tail 0.286916252  > 0.025

Therefore

b. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).

Option b gives the best answer.

Answer:

3 :2.

Step-by-step explanation:

1.5 : 1

Multiply both numbers by 2:

i this gives 3:2

Answer: Well this one is simple too.

ATQ Angle 4 is 73° so the vertically opposite angle that is angle to will be the same, 73°.

now for the rest two.

lets find angle 1 first. If we find any one from this we can automatically get the other as they are vertically opposite angles.

Angle 1= 180 - Angle 4

Angle 1 = 180-73=107°

We found this coz the Angle 1 and 4 are on the same line which will form a straight angle.

hence, Angle 4 and 2 = 73°

Angle 1 and 3= 107°

Hope it helps. Pls mark brainliest

Answer:

c

Step-by-step explanation:

ccccccc

hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello

Step-by-step explanation:

hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello

Step-by-step explanation:

where is the figureee??

Answer:

$ 36.00

Step-by-step explanation:

Tip Total: $ 7.20

Total (Bill + Tip): $ 36.00

Answer:

P = 660,592

Step-by-step explanation:

p = [tex]222,000 (1+.0875)^{t}[/tex]

P = [tex]222,000 (1+.0875)^{13}[/tex]

P = 660,592

Answer: 8

Hope this helps

Answer:

153.94

Step-by-step explanation:

A=πr2=π·72≈153.93804

hope this helps!

please mark brainiest<3