Find the value of the variable that results in congruent triangles. Complete the explanation.
F
30°
30°
9 in.
9 in.
(2x) in.
(x + 4) in.
А
B
D
E
AC is congruent to DF, because AC
DF = 9 in. 2C is congruent
to ZF. EF
must correspond to BC. The triangles (select) » congruent by the (select) Triangle
Congruence Theorem only when x = |

Answer:

11) 14

12) -27

Step-by-step explanation:

11-a when a=-3

Plug in -3 into the equation

11-(-3)

A negative times a negative becomes a positive

So the equation becomes 11+3

Answer is 14

x³ when x=-3

Plug in -3 into the equation

-3³

Solve, which should give you -27

Answer:

Sorry, I don't understand what m and a||b means. If you are able to explain it to me, I can follow up for this question. much appreciated, Accqty.

Step-by-step explanation:

Answer: AHHHHHH I WILL HELP

Step-by-step explanation:The statement which describes the meaning of the slope is " The boiling point decreases by 1.8 degrees as the altitude increases by 1,000 feet " ⇒ D

Step-by-step explanation:

The boiling point of water (measured in degrees), at altitude (measured in feet), is modeled by the function T(a) = −0.0018 a + 212, where

a is the altitude measured in feet

T(a) is the boiling point of water in degree

The form of the linear function is f(x) = mx + b, where m is slope (the rate of change), and b is the y-intercept (the value of f(x) at x = 0)

By comparing between the form of the function and the given function

∴ m = -0.0018 ⇒ degrees per foot

∵ The sign of the slope is negative

∵ The slope = Δf(x)/Δx

- That means T(a) is decreasing function

∴ The boiling point is decreases when the altitude increasing

∵ -0.0018 =  degrees per feet

∴ The boiling point decreases by 18 degrees as the altitude

   increases by 10,000 feet or the boiling point decreases by 1.8

    degrees as the altitude increases by 1,000 feet

The statement which describes the meaning of the slope is " The boiling point decreases by 1.8 degrees as the altitude increases by 1,000 feet "

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ITS 2

Answer:y-7=-9/8(x-0)

Step-by-step explanation:

Answer:

y -7 = -9/8 (x-0)

Step-by-step explanation:

i hope it help

Answer:

you will each pay $50 and 4 cents

Step-by-step explanation:

Answer:

2) (37/42,43,28)

3) $50.40

Step-by-step explanation:

2)

[tex] \frac{4}{12} + \frac{10}{7} = \frac{37}{21} \div 2 = \frac{37}{42} [/tex]

this is for x

[tex] \frac{5}{2} + \frac{4}{7} = \frac{43}{14} \div 2 = \frac{43}{28} [/tex]

this is for y and the midpoint is (37/42,43/28)

3)

[tex]252 \div 5 = 50.40[/tex]

I think this is the answer

Answer:

yes

Step-by-step explanation:

15 x 300 = 7500

Answer:

4;9

4 to 9

4/9

or 4 blocks and 9 circles

Step-by-step explanation:

Answer:

y = 1/2x + 2

Step-by-step explanation:

The y-intercept is 2 because it passes through the y axis at (0,2) and the slope if 1/2

Hope that helps and have a great day!

Answer:

[tex]y=\frac{1}{2}x+2[/tex]

Step-by-step explanation:

To find the equation for the line, lets try to find the slope and y-intercept of the line.

From looking at the graph, we can see that the line intersects the y-axis at y = 2. So the y-intercept would be 2.

The slope of the line would be the rise divided by the run. Looking at the graph, we can see that for every 2 the line moves in the x-direction, it moves 1 in the y-direction. This means that the rise is 1 and the run is 2. So the slope would be 1/2.

So we now know that the slope is 1/2 and the y-intercept is 2, we can now plug the information into the slope-intercept form.

Slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

Plugging in we get

[tex]y=\frac{1}{2}x+2[/tex]

And now we have the equation of the line.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

52.6 degrees

Step-by-step explanation:

tan^-1(72/55)

Angle of elevation is equals to 52°7'(approximately).

" Angle of elevation is the angle between the horizontal plane and  line of sight from the point of observation."

Formula used

In a right angled triangle,

tanθ = ( opposite side) / adjacent side)

According to the question,

As shown in diagram

Height of the building (AB) = 72m

Distance between base of the building and point of observation

(BC)= 55m

Angle of elevation = θ

Substitute the value in the formula we have,

 tanθ = AB / BC

          = 72 / 55

⇒ θ = tan⁻¹ (72 /55)

      = tan ⁻¹(1.3091)

      = 52° 7' (approximately)

Hence, angle of elevation is equals to 52°7'(approximately).

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Answer:

D - divide by 4

Step-by-step explanation:

Answer:

D rip I'm late :(.......

Answer:

Step-by-step explanation:

Given that:

Initial psi yesterday = 40 psi

psi today = 38 psi

If trend continues and tire loses the same percentage of air. How much air will be left in tire at the end of the week

1 week ( 7days)

Total loss after 7 days = (amount lost per day * number of days)

Total psi lost per day= [(40 - 38) = 2

% psi lost = (2/40) * 100

= 5%

Applying the exponential loss functin:

A = I ( 1 - r)^t

t = 7days ; r = 5% = 0.05 ; A = amount left ; I = Initial amount

A = 40(1 - 0.05)^7

A = 40(0.95)^7

A = 40 * 0.69833729609375

A = 27.933

A = 27.9 psi

Answer:

 There's no numbers on this graph. it you can tell me where it is, ill gladly update my answer. Other than that, I know exactly what they are saying, I just need numbers.

Step-by-step explanation:

Answer:

$4.69

Step-by-step explanation:

HOPE THIS HELPEDDDD ❤✨

Answer:

The original price of the candles was $4.69

Step-by-step explanation:

$11.96 (price of 4 candles) ÷ 4 candles = $2.99 (how much each candle costs)

$2.99 (how much each candle costs) + $1.70 (how much the price of the candles lowered) = $4.69 (the old price per candle)

(hope I helped)

Answer:

$494.40

Step-by-step explanation:

Answer:

47,141

Step-by-step explanation:

I'm pretty sure that's right. Hope I helped <3

Answer:

Its this $47,141

Answer: 15.75

To find the answer to the question, we have to multiply.

4.50 x 3.5 = 15.75

So, the answer to the question is 15.75.

Hope this helps!

Answer:

-5

Step-by-step explanation:

Answer:

p: (-2,2)

q: (1,4)

r:(3,3)

Answer:

5.693508715645386

Step-by-step explanation:

Answer:

Answer is 5.69350871565

Step-by-step explanation:

Answer: 135

Step-by-step explanation: All you need to do is 180-45=135.

The 180 minus 135 is equal to 45.

To find the value that, when subtracted from 180, gives a result of 45,  set up the following equation:

180 - x = 45

To solve for x,  to isolate it on one side of the equation by subtracting 180 from both sides:

180 - 180 - x = 45 - 180

Simplifying:

-x = -135

Now, to solve for x,  multiply both sides of the equation by -1 to change the sign:

(-1) × (-x) = (-1) × (-135)

x = 135

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Answer:

Answer: (1,-7)

Step-by-step explanation:

since the translation is under (x + 4, y - 2)

the symbols (+ and -) would change so the translation to use would be

(x - 4, y + 2)

so you plug in (5, -9) to the new translation and you get your answer which is (1,-7)

Answer:

04

Step-by-step explanation:

0 -4 zero is just zero so 4 replace

Answer:

4

Step-by-step explanation:

Answer:

457367

Step-by-step explanation:

Answer:

Five touchdowns were made in the game

Step-by-step explanation:

Here, we want to know the number of touchdowns made during the game.

We proceed as follows;

Let the number of touch downs be x

So the total points earned through touchdowns is 6 * x = 6x

The number of scores is 10 times

Let the number of extra kick be y which means that the number of conversions will be (y-1)

So the total number of score times will be ;

x + y + y-1 = 10

x + 2y = 11 •••••••••(i)

Now let’s work with points

Touch down points = 6 * x = 6x

Points from extra kick = 1 * y = y

Points from 2-point conversions = 2(y-1) = 2y - 2

So;

6x + y + 2y -2 = 37

6x + 3y = 37 + 2

6x + 3y = 39

divide through by 3

2x + y = 13 •••••••(ii)

So now solve simultaneously

From ii, y = 13 - 2x

Put this into i

x + 2(13-2x) = 11

x + 26 - 4x = 11

x -4x = 11-26

-3x = -15

x = -15/-3

x = 5

There are five touchdowns in the game

There are Five touchdowns were made during the game.

Here,

Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown.

After each touchdown, the team can earn one point for the extra kick or two points for a 2-point conversion.

The team scored one fewer 2-point conversions than extra kicks. The team scored 10 times during the game.

We want to know the number of touchdowns made during the game.

What is system of equations?

A system of equations is a collection of two or more equations with a same set of unknowns.

Now,

Let the number of touch downs be x

So, the total points earned through touchdowns is;

6 * x = 6x

The number of scores is 10 times

Let the number of extra kick be y which means that the number of conversions will be (y-1)

So, the total number of score times will be ;

x + y + y - 1 = 10

x + 2y = 11 •••••••••(i)

Now let’s work with points

Touch down points = 6 * x = 6x

Points from extra kick = 1 * y = y

Points from 2-point conversions = 2(y-1) = 2y - 2

Hence;

6x + y + 2y -2 = 37

6x + 3y = 37 + 2

6x + 3y = 39

divide through by 3

2x + y = 13 •••••••(ii)

So, now solve this;

From ( ii ), y = 13 - 2x

Put this into ( i )

x + 2(13-2x) = 11

x + 26 - 4x = 11

x -4x = 11-26

-3x = -15

x = -15/-3

x = 5

Hence, There are Five touchdowns were made during the game.

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Answer:35 you are welcome

Step-by-step explanation: