Complete the statement. If a transversal intersects two parallel lines, then ___.
a. Same-side interior angles are complementary,
b. alternate interior angles are congruent
c. Corresponding angles are supplementary
d. none of these

Answer:48ft

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

go up 3 and left 2

Answer: 21

Step-by-step explanation:

84 divided by 4 = 21 since grabielle is 21, and then mikhail is gonna be 3 times more so it’s gonna be 63

Answer:

Mikhail=21

Gabrielle=63

Step-by-step explanation:

G=3M

G+M=84

G=84-M

3M=84-M

4M=84

M=21

G=63

hope this sheet helps :)

Answer:

It would bounce at 78 centimeters height

Step-by-step explanation:

The value of {x} is equivalent to 7.

Given are two triangles ΔJTU and ΔJLK.

The triangles ΔJTU and ΔJLK are similar.

We can write the proportional relation as -

{JU/JK} = {JT/JL}

{- 4 + 4x/64} = {27/72}

{- 4 + 4x/64} = 3/8

- 4 + 4x = 24

4x = 28

x = 7

Therefore, the value of {x} is equivalent to 7.

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The value of x is 7.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

Consider ΔJKL and ΔJUT

If T and U are midpoints on JL and JK, then TU is parallel to LK.

Then ∠T=∠L (Corresponding angles)

∠U=∠K (Corresponding angles)

Hence, ΔJKL is similar to ΔJUT

Now, JT/JL = JU/JK = TU/LK

27/72 = -4+4x/64 = 36/96

9/24 = -4+4x/64 = 12/32

3/8 = -4+4x/64 = 3/8

-4+4x/64 = 3/8

-4+4x=24

4x=28

x=7

Therefore, the value of x is 7.

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Answer:

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10/4 x 25/x

Cross multiply and it will give you 100/10x

Divide and get 10

Answer:

80 minutes

35.2 km

Step-by-step explanation:

You can't give more than the 6 points you have allocated. If I am the only person answering, you have to come back to award the Brainliest -- it varies how much time. Usually 2 or 3 days. Few people do.

The answer to this question depends on you understanding that both girls will be side by side when the second one catches the first. So the distances will be equal

That means that

.44t = 35t + 7.2                     Subtract 0.35t  from both sides

0.44t - .35t = 7.2      

0.09 t  = 7.2                          Divide

t = 7.2/0.09

t = 80 minutes

How far apart are they from the starting point?

d = 0.44t

d = 0.44 * 80

d = 35.2 km from the starting point.

Answer:

[tex]Solution,\\Let~a=10in.,~b=24in.~and~c=26in.\\Semiperimeter(s) = \frac{a+b+c}{2}= \frac{10+24+26}{2} = 30in.\\Now,\\Area~of~triangle = \sqrt{s(s-a)(s-b)(s-c)} \\~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{30(30-10)(30-24)(30-26)} \\~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{30(20)(6)(4)} = \sqrt{14400}=120sq.inches[/tex]

Answer:

All I know is that the -3 should be there without the 1/3 because that makes no sense to me. And...

Step-by-step explanation:

3x+8=-4

Subtract 8 from both sides.

3x+8−8=−4−8

3x=−12

Step 2: Divide both sides by 3.

3x=−12

3       3

x=−4

Answer: Tyler's work is incorrect because when subtracting 8 from both sides of the equation, he didn't subtract it from -4. If he subtracted 8 from -4, it would've been 3x=-12.

The correct answer is x = -4

Step-by-step explanation:

you get x = -4 by subtracting 8 from each side of the equation, resulting in 3x = -12

then you divide both sides by 3, leaving you with x = -4

Answer:

Step-by-step explanation:

Use ratios of corresponding sides:

Substitute and solve for x:

Find the length of RS:

Answer:

¼

Step-by-step explanation:

Solution,

Total quantity=½ gallon

Each friends quantity=½/2

=¼ gallon

Answer:

C

Step-by-step explanation:

s - 7 + 5

s - 2

Answer:

Random variable set is attached as image. Please see the image

Step-by-step explanation:

The random variable W consist of all possible set of selection of two reward slips

The set consists of total 20 possible outcomes

The set is given in the image attached

Answer:

1600

Step-by-step explanation:

pls brainliest

Answer:

hope it helped have a good day mate

Answer:

[tex]Sum = 832[/tex]

Step-by-step explanation:

Given

See attachment

Required

Evaluate

The expression can be expressed as:

[tex]Sum = 2n + 5;\ n=1...26[/tex]

To do this, we  make use of sum of n terms of an AP.

When n = 1

[tex]2n + 5 = 2 * 1 + 5 = 7[/tex] --- T1

When n = 2

[tex]2n + 5 = 2 * 2 + 5 = 9[/tex] --- T2

When n - 26

[tex]2n + 5 = 2 * 26 + 5 = 57[/tex] --- T26

Next, we calculate d (common difference)

[tex]d = T_2 - T_1[/tex]

[tex]d = 9 - 7 = 2[/tex]

So, the sum is:

[tex]Sum = \frac{n}{2}(T_1 + T_n)[/tex]

Let n = 26

So, we have:

[tex]Sum = \frac{26}{2}(T_1 + T_{26})[/tex]

Substitute values for T1 and T26

[tex]Sum = \frac{26}{2}(7+57)[/tex]

[tex]Sum = \frac{26}{2}(64)[/tex]

[tex]Sum = 13*64[/tex]

[tex]Sum = 832[/tex]

Answer (assuming it can be put in point-slope format):

[tex]y + 4 = 3(x-2)[/tex]

Step-by-step explanation:

You can write an equation of a line when knowing its slope and a line it passes through using point slope formula, [tex]y-y_1 = m (x-x_1)[/tex].

1) First, find the slope of the equation. We know it has to be parallel to y = 3x + 2. Lines that are parallel have the same slope, thus the slope of y = 3x + 2 is the slope of the answer as well. y = 3x + 2 is in slope-intercept format, or [tex]y = mx + b[/tex]. The coefficient of the x term, or [tex]m[/tex], represents the slope - so, the slope must be 3.

2) Now, use point-slope formula,[tex]y-y_1 = m (x-x_1)[/tex],  to write the equation. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

The [tex]m[/tex] represents the slope, so substitute 3 for [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line crosses through. The line crosses through (2, -4), so substitute 2 for [tex]x_1[/tex] and -4 for [tex]y_1[/tex]. This gives the following answer:

[tex]y - (-4) = 3 (x-(2))\\y + 4 = 3(x-2)[/tex]

Answer:

3/8

divide both by 11

you get 3/8

9514 1404 393

Answer:

Step-by-step explanation:

Using 'y' and 'z' to represent angles with the corresponding names, we have ...

  y + z = 90

  (3b -1) +(2b +6) = 90 . . . . substitute the given expressions

  5b +5 = 90 . . . . . . . . . . . . simplify

  b +1 = 18 . . . . . . . . . divide by 5

  b = 17 . . . . . . . . subtract 1

Then the angles are ...

  y = 3b -1 = 3(17) -1 = 51 -1 = 50

  z = 2b +6 = 2(17) +6 = 34 +6 = 40 . . . . note that these are complementary, as theys should be

Angles W and Y form a linear pair, so are supplementary:

  W = 180 -Y = 180 -50 = 130

Angles X and Z form a linear pair, so are supplementary:

  X = 180 -Z = 180 -40 = 140

Then the angle measures are ...

Answer:

x = 30 I'm sure hope this helps

Answer:

H0 : μ2004 - μ2000 = 0

Step-by-step explanation:

Given the data:

Year ________: 2000 ___ 2004

Mean ________ 27.34 ___ 48.12

Std. Dev _______10.11 ____ 19.23

Unweighted n 43 54

The hypothesis is to test if there was a significant difference in the average number of hours worked in a week from 2000 to 2004 ;

Hence, the null hypothesis will negate the hypothesis, that is there is no difference in the average hours worked in a week from 2000 to 2004

Null hypothesis ; H0 : μ2 - μ1 = 0

Alternative hypothesis ; H1 : μ2 - μ1 ≠ 0

Null hypothesis suggest that there is no significant relationship exist in the given set of single observed variable.. As the null hypothesis negate the hypothesis. Hence the difference is zero and hypothesis for the given problem is,

[tex]H_0; (\mu_1-\mu_2)=0[/tex]

[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]

For year                     2000         2004

Mean                          27.34          48.12

Standard Deviation   10.11          19.23

Unweighted n             43              54

Null hypothesis suggest that there is no significant relationship exist in the given set of single observed variable.

Now the Analyst want to know if there was a significant difference in the average of hours worked in a week from year 2000 to 2004.

To detect a difference (if there it is) between the average of hours worked in a week from 2000 to 2000, it should be test the null hypothesis that there is no difference between the means against the alternative hypothesis. Therefore,

[tex]H_0; (\mu_1-\mu_2)=D_0=0[/tex]

Versus

[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]

As the null hypothesis negate the hypothesis. Hence the difference is zero and hypothesis for the given problem is,

[tex]H_0; (\mu_1-\mu_2)=0[/tex]

[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]

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Answer:

the first circle.

Step-by-step explanation:

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Answer:

A) -4,3

Step-by-step explanation:

Answer:

Step-by-step explanation:

53.8

Answer:

15 bags

Step-by-step explanation:

She can fill 5 bags per each pound (because there are 5 [tex]\frac{1}{5}ths[/tex] per pound)

Since there are 3 pounds, and , again, each pound can fill 5 bags, she will need 15 bags.

Another way too look at it is to ask how many 1/5ths are in 3 pounds. To find this answer mathematically:

3 ÷ 1/5 = 15 because when we divide by a fraction, we need to flip it and then multiply (so 3 ÷ 1/5 is actually 3×5)

9514 1404 393

Answer:

  6.5 cm

Step-by-step explanation:

The Pythagorean theorem applies. You want c for a=1.6, b=6.3.

  c² = a² +b²

  c² = 1.6² +6.3² = 2.56 +36.69 = 42.25

  c = √42.25 = 6.5

The length of the hypotenuse is 6.5 cm.

6 and 1/2 minus 5 and 3/4 mathematically is equivalent to 3/4 .

Given, 6 and 1/2 minus 5 and 3/4 .

Solve for:

1. First off, convert both of these mixed number fractions into improper fractions.

6 and 1/2 minus 5 and 3/4

= [tex]\frac{13}{2} - \frac{23}{4}[/tex]

2. Find a common denominator

Multiply the numerator and denominator of the first fraction both by 2.

= [tex]\frac{13}{2} - \frac{23}{4}[/tex]

=[tex]\frac{26}{4} - \frac{23}{4}[/tex]

3. Subtract the fractions.

= [tex]\frac{26}{4} - \frac{23}{4}[/tex]

= [tex]\frac{3}{4}[/tex]

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