Abbie is 5 years older than twice her sister’s age. Abbie is 25 years old. Which
equation can be used to find her sister’s age?

Answer:

a) $30

b) 30

Step-by-step explanation:

a) Her starting pay is $60. After an hour it goes up to $90. 90-60=30.

b) Every hour, the pay goes up 30.  Slope is calculated as the change in y divided by the change in x. That means 30/1, or just 30 is the slope.

Answer:

29.5

Step-by-step explanation:

Order from least to greatest

11, 17, 17, 19, 28, 31, 40, 44, 45, 49

Then find the middle number which is 28 and 31 so add the two numbers

28 + 31 = 59

then

59 divided by 2 = 29.5

Answer:

The answer is 37

Step-by-step explanation:

180- 143= 37

Answer:

34.99°

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE FIQURE

Let angle( X) = angle if elevation

From trigonometry, tan(X)= opposite/ adjacent

Height of the flagpole= 21 ft , which is the opposite side

The base, adjacent side = 30 ft

If we substitute the values we have

Tan(X) = 21/30

Tan(X)= 0.7

Tan-1(0.7)=34.99°

Hence, the angle of elevation of the sun when this shadow will cast is 34.99°

Answer:

Step-by-step explanation:

a line perpendicular to the give formula has a reciprocal slope and it's sign is changed also.

then m = -1/3 for our perpendicular line

y - 1 = -1/3(x -6)

y -1 = -1/3x + 2

y = -1/3x +3

there you go  :)

Answer:

∠FGI=40°

Step-by-step explanation:

CE║FH ⇒ ∠CDG=∠FGI=40°

The angle 4 and 120 degrees angles are alternate angles. Therefore, ∠4 = 120 degrees.

Alternate interior angles are the angles formed when a transversal intersects two parallel lines.

Alternate interior angles are the angles formed on the opposite sides of the transversal.

Alternate interior angles are congruent.

Therefore,

∠4 is an alternate interior angle to angle 120 degrees.

Therefore,

∠4 = 120 degrees.

learn more on alternate interior angles here: brainly.com/question/14693114

#SPJ1

Answer:

A

Step-by-step explanation:

SO right off the bat it cannot be c, for they do definatly change.

Next, lets find out how much they change by.

The median would now be 120. Since adding 1 more number would make it just 120. Instead of it being 120+130/2.

This is a decrease of 5. Because we can just subtract normal number by new number: 125-120=5.

Now, the mean is already 500/4. This equals 125.

So lets add 0 to that. So now we must divide it by 1 more number, 4+1=5.

That is 500/5. This equals 100.

This is a decrease of 25. Because we can again subtrasct the normal number by the new number: 125-100=25

That is 5x more of a decrease than the mean.

SO it must be A, since the mean decreased more than the median.

Answer:

The answer is B

This is because if we know that Alex sent the questionnaire only to those who live near her, we can infer that this is biased.

Answer:

B: Alex sent the questionnaire only to those who live near her

Step-by-step explanation:

<3

Answer:

58°

Step-by-step explanation:

Good luck , hope it helped you :)

Answer:

58 degrees

Step-by-step explanation:

Since a straight line is 180 degrees then we can find out the two missing angles within the triangle.

180-126=54

180-112=68

54+68=122

180-122=58

m=58 degrees

Hope this helps :)

Answer:

To the nearest cent, the accumulated amount over the 10 years is $5,752.67

Step-by-step explanation:

Here, we want to use the given formula to find the accumulated amount on the deposit/investment

we have this as follows;

A = P(1 + r/k)^kt

P is the amount invested which is the principal = $3,500

r is the interest rate = 5% = 5/100 = 0.05

k is the number of times interest is compounded yearly = 4

t is the number of years = 10

Substituting these values in the formula, we have;

A = 3500(1 + 0.05/4)^(4 * 10)

A = 3500 (1 + 0.0125)^40

A = 3500(1.0125)^40

A = $5,752.67

Answer:

C

Step-by-step explanation:

Answer:

[tex]x=\dfrac{\sqrt6 \sqrt 2}{2}[/tex]

Step-by-step explanation:

We need to find the value of x.

Here, Hypotenuse = √6

Perpendicular = x

We know that,

[tex]\sin\theta=\dfrac{P}{H}[/tex]

So,

[tex]\sin(45)=\dfrac{x}{\sqrt6}\\\\x=\sin(45)\times \sqrt{6} \\\\x=\dfrac{\sqrt{6}}{\sqrt{2} }\\\\x=\dfrac{\sqrt{6}}{\sqrt{2} }\times \dfrac{\sqrt2}{\sqrt2}\\\\x=\dfrac{\sqrt6 \times \sqrt 2}{2}\\\\x=\dfrac{\sqrt6 \sqrt 2}{2}[/tex]

So, the value of x is equal to [tex]\dfrac{\sqrt6 \sqrt 2}{2}[/tex].

Answer:

∠ 1 = 58°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

117° is an exterior angle of the triangle, then

∠ 1 + 59° = 117° ( subtract 59° from both sides )

∠ 1 = 58°

Answer:

20,160 ways

Step-by-step explanation:

9x8x7x6x5x4x3x2x1=9

Answer:

Step-by-step explanation:

tanα=h/d, where α=angle of elevation, h=height, d=horizontal distance.

d=h/tanα, we are given that h=4ft and α=4.76° so

d=4/tan4.76° ft

d≈48.04 ft  (to nearest hundredth of a foot)

Answer:

20 days?

Step-by-step explanation:

3 times a day is 15 and 300 ÷ 15 = 20

Answer:

PQ should be the answer

Step-by-step explanation:

Answer: The required product of two given algebraic expressions =15abc +10b²c²

Step-by-step explanation:

Here we need to multiple two algebraic expressions: 3ab+2bc, 5bc

i.e. The required product = (3a+2bc)  x (5bc)

= 3a x 5bc + 2bc x 5bc    [Using right distributive property: (a+b)c= ac+bc]

= (3x 5)  abc + (2 x 5) (bc)²

= 15abc +10b²c²

Therefore, the required product of two given algebraic expressions = 15abc +10b²c²

Answer:

13.<CAF = 145

14.<ABC = 50

15.<KCJ = 95

16.<ABG = 130

17.<BCJ = 85

18.<CAB = 35

19.<x =60

20.<y =120

21.<z = 133

22.<w = 47

23.<m = 128

24.<p = 52

Step-by-step explanation:

It just looking at the vertically opposite angle to find the exact angle.

Ex. <CAF = <BAD

Answer:

B

Step-by-step explanation:

line b is the closest to all the points on the graph

Answer:

Tyler is correct

Step-by-step explanation:

ALL OF THEM MAKE A PLUS AND B AND D HAVE BEEN INCREASED IN SIZE BUT THE PROPORTION IS STILL THE SAME AS A

Answer:

410/1080=(0.915)^x

0.379=(0.915)^x

ln0. 379/ln0.915=x

X=10.903

Answer:

We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America.

Answer:

I would be in vampire diaries world bc why not

Answer:

I would go to a dream reality where I could hop into any book, or fanfiction of my choosing, and actually talk and communicate with the characters, with all the characters knowing I was always there, just didn't talk to me much, and if the people there have powers, I can choose mine.

Step-by-step explanation:

Answer:4x - 2 = 3x + 1

Step-by-step explanation: shooooooooo papi

Answer:

x = - 4

Step-by-step explanation:

The denominator of the rational expression cannot be zero as this would make it undefined.

Equating the denominator to zero and solving gives the value that x cannot be, that is

x + 4 = 0 ⇒ x = - 4

Thus x = - 4 is the excluded value

Answer:

In exponential form, the correct answer is [tex]3^{13}[/tex].

Step-by-step explanation:

When you're multiplying exponents with the same base together, you keep the base the same and add the powers of the two exponents together. In this case, [tex]3^{9} * 3^{4} = 3^{9+4} = 3^{13}[/tex].

Answer:

the answer be 19 .. also u can use photomath I gives u answers and tells u how ro do them

Answer:

19

Step-by-step explanation:

24 * 80% = 24*0.8 = 24* 8/10 = 24*4/5 = 96/5 = 19.2

round down becuase 0.2, or 20% of a person can not earn honor roll without suffering catastrophic organ failure.

Answer:

180 degrees

Step-by-step explanation:

A whole circle is 360 degrees and 3/6 of that (or 1/2) is 180 degrees. I hope this helps!