The figure below shows two pair of congruent triangles.
ΔYWX ≅ _____.



ΔDEF
ΔFED
ΔDFE
ΔEDF

Answer:

The surface area of the square pyramid is 34.63cm².

Step-by-step explanation:

[tex]A=a^{2} +2a\sqrt{\frac{a^{2} }{4} +h^{2} } =3^{2} +2[/tex]×3×[tex]\sqrt{\frac{3^{2} }{4} +4^{2} }[/tex]≈34.63cm^2

Answer:

Step-by-step explanation:

Answer:

Well it's the same because it's the same problem just worded different it's like saying "May I?" and your sister says "Can I?" It's the same question just different wording.

Answer:

0.6 yards

Step-by-step explanation:

6 yards/10 hops = 0.6 yards per hop

Answer:

330cm²

Step-by-step explanation:

CSA of a cylinder = 2πrh

(r = d/2 = 21/2 = 10.5 cm)

Putting the values of 2πrh;

2 x 22/7 x 10.5 x 5

2 x 22 x 1.5 x 5 *(10.5/7 = 1.5)

330 cm²

Answer:

D

Step-by-step explanation:

2.25x50=112.5

112.5 rounds up to 113, which is D

Answer:

33.75?

Step-by-step explanation:

2.25*15

Answer:

160/196

Step-by-step explanation:

it would be easier if you converted all fractions to improper fractions

so 3 1/5 would equal 16/5 and 2 4/5 would equal to 14/5

[tex]\frac{14}{5} - \frac{2}{3}[/tex] : to solve this you would need the same common denomenator,

to do this you can multiply 5 and 3 by something to make the lowest common denominator, which would be 15

thus

multiplying first fraction by 3 and the second by 5

42/15 - 10/15 = 32/15

now 32/15 divided by 14/5

the rule for dividing fractions, is flipping the fraction which you will be using to divide, and then multiplying it to the first fraction:

[tex]\frac{32}{14}[/tex] multiplied by [tex]\frac{5}{14}[/tex]

thus, answer is 160/196

Answer:

Using 60°

Let side CB be x

Cos60= x/52

Cross multiply=

x= 52cos60

x= 26 cm

i believe the area is 48 if it's not correct sorry

Answer:

297.84 miles

Step-by-step explanation:

176 miles in 13 hours is 13.5 miles per hour

13.5 * 22 = 297.84

Answer:

3

Step-by-step explanation:

2x+4=10

2(3)+4=10    2*3 = 6

6+4=10

10 = 10

Answer:

12.543

Step-by-step explanation:

Answer:

The answer is D.

Step:

6*5*12=360

Answer:

A'(4, -3) ; T'(-1, 4)

Step-by-step explanation:

Multiply the coordinates by 1/2, or divide them by 2 to get the new points.

A(8, -6) ⇒ A'(4, -3)

T(-2, 8) ⇒ T'(-1, 4)

Answer:x=4/3y+8

Step-by-step explanation:

Step 1: Add 4 to both sides.

Step 2: Divide both sides by 1/2.

Answer:

3x-4y =24

Step-by-step explanation:

hope this helped xoxo

Answer:

Cry about it wah wah wahhhhhhhh

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Reject the null concluding that there is evidence the proportion is higher for men.

Using the z-distribution, as we are working with proportions, it is found that the correct option is:

b) Reject the null hypothesis concluding that there is no evidence that the proportion is higher for men.

At the null hypothesis, it is tested if the proportions are the same, that is:

[tex]H_0: p_M - p_W = 0[/tex]

At the alternative hypothesis, it is tested if it is higher for men, that is:

[tex]H_1: p_M - p_W > 0[/tex]

For each sample, we have that:

[tex]p_M = \frac{155}{254} = 0.6102, s_M = \sqrt{\frac{0.6102(0.3898)}{254}} = 0.0306[/tex]

[tex]p_W = \frac{157}{301} = 0.5216, s_W = \sqrt{\frac{0.5216(0.4784)}{301}} = 0.0288[/tex]

Then, for the distribution of differences, the mean and the standard error are given by:

[tex]\overline{p} = p_M - p_W = 0.6102 - 0.5216 = 0.0886[/tex]

[tex]s = \sqrt{s_M^2 + s_W^2} = \sqrt{0.0306^2 + 0.0288^2} = 0.042[/tex]

It is given by:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which p = 0 is the value tested at the null hypothesis, hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{0.0886 - 0}{0.042}[/tex]

[tex]z = 2.11[/tex]

Considering a right-tailed test, as we are testing if the proportion is higher than a value, with a significance level of 0.05, the critical value is of [tex]z^{\ast} = 1.645[/tex].

Since the test statistic is greater than the critical value for the right-tailed test, there is enough evidence to reject the null hypothesis that the there is no evidence that the proportion is higher for men, hence option b is correct.

More can be learned about the z-distribution at https://brainly.com/question/26454209

Answer:

f−1(x) = [tex]\frac{4x}{6}[/tex]

Step-by-step explanation:

f(x) = 0.25(6)x, find f−1(x).

f(x) = 0.25(6)x

f(x) = [tex]\frac{6}{4}[/tex]x = [tex]\frac{6x}{4}[/tex]

f(x) = y

y =  [tex]\frac{6x}{4}[/tex]

Substitute y for an x & x for a y

x = [tex]\frac{6y}{4}[/tex]

Multiply both sides by 4

4( x ) = 4( [tex]\frac{6y}{4}[/tex] )

4x = 6y

Divide both sides by 6 to solve for y

[tex]\frac{4x}{6}[/tex] = y

y = [tex]\frac{4x}{6}[/tex]

so f−1(x) = [tex]\frac{4x}{6}[/tex]

Answer:

35.7 I believe

Step-by-step explanation:

Answer:

I think the 1st one would be 10...

Step-by-step explanation:

Because 12-2=10 and 18-8=10.

If I'm wrong, im super sorry

Answer:

a. 15

b. 27

c. 4

d. 72

e. 2

Step-by-step explanation:

If you need an explanation lmk! happy to help.

Answer:

28 students passed in both subjects.

Step-by-step explanation:

We solve this question treating each event as a Venn set.

I am going to say that:

Event A: Passed Biology.

Event B: Passed Chemistry.

46 passed Biology

This means that [tex]A = 46[/tex]

42 passed Chemistry.

This means that [tex]B = 42[/tex]

Every student passed at least one of the two subjects.

This means that [tex]A \cup B = 60[/tex]

How many students passed in both subjects?

This is:

[tex]A \cap B = A + B - A \cup B[/tex]

From the values we have above

[tex]A \cap B = 46 + 42 - 60 = 28[/tex]

28 students passed in both subjects.

Answer:

y=1/2x-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-1)/(2-6)

m=-2/-4

m=1/2

y-y1=m(x-x1)

y-1=1/2(x-6)

y=1/2x-6/2+1

y=1/2x-3+1

y=1/2x-2

Step-by-step explanation:

2/5×7500

2×1500

3000

RM=3000

Answer:

I believe the answer is $52.46

Hope this helps :)

Answer:6.25%

Step-by-step explanation:

3.25 / 52 = 0.0625