Find the value of x in each triangle

Part D: x= -b/2a

(-1/3, -4/3)

im sorry if this is wrong ;'(

Answer:D

Step-by-step explanation:

D will go with each funcuation.

For the top part, both equations are vertical angles, so both equations will equal the same angle.

(4 + 23x) = (24x)

4 + 23x = 24x

4 = 24x - 23x

4 = x

Plug in x = 4 into both equations.

4 + 23(4) = 24(4)

4 + 92 = 96

96 = 96

Since x = 4 is a solution for both equations, the angle that is equal to both is 96 degrees.  

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For the bottom part, both equations lie on the same straight line, so adding both equations together will equal 180 degrees.

(x + 120) + (x + 80) = 180

x + 120 + x + 80 = 180

2x + 200 = 180

2x = 180 - 200

2x = -20 (don't worry about having a negative solution)

x = -10

Plug in x = -10 into both equations.

(-10) + 120 + (-10) + 80 = 180

110 + 70 = 180

180 = 180

Since x = -10 is a solution for both equations, the angle for equation (x + 120) is 110 degrees and angle for equation (x + 80) is 70 degrees.

Answer:

angleQ+angleR is 180degrees because of the properties of isoceles trapezoid. So, if you set equation and solve, you'll get the fact that x is 12, and angleR is 130degrees, and angleQ is 50degrees. According to the properties of isoceles trapezoid, angleQ is the same as angleT. So, angleT is 50degrees

Answer:

Step-by-step explanation:

Answer:

0 and 4

Step-by-step explanation:

y = x^2 - 4x can be factored as follows:  y = x(x - 4).

We find the zeros by setting this factored form equal to zero and solving for x:

x(x - 4) = 0, or x = 0, or x = 4.

The two zeros of this function are 0 and 4.

Answer:

-369976.157643

Step-by-step explanation:

Answer:

look at the picture i sent.......

Answer:

Step-by-step explanation:

P(g=1) is equal to

1-P(g=0)-P(g=2)

P(g=0)=(7/12)(6/11)

P(g=2)=(5/12)(4/11) so

P(g=1)=1-(42/132)-(20/132)

P(g=1)=(132-42-20)/132

P(g=1)=70/132

P(g=1)=35/66

Answer:

The correct answer is A(-3,-5)

Answer:

266.666667

Step-by-step explanation:

[tex]4(t+\frac{1}{4})=3[/tex]   distribute by multiplying 4 into the parenthesis.

[tex]4t+1 = 3[/tex]

    [tex]-1[/tex]   [tex]-1[/tex]     subtract 1 on both sides, solve for 3 - 1, which is 2.

__________

[tex]\frac{4t}{4} =\frac{2}{4}[/tex]     divide 4 on both sides.

[tex]t = \frac{2}{4}[/tex]       simplify 2/4.

[tex]t = \frac{1}{2}[/tex]       final answer

hope this helps :)

Answer:

C. 74

Step-by-step explanation:

add up all the numbers but not the value so you have 18 numbers. divide that by 2 and get 9. so 74 is between 73 and 78 so it divides the 18 numbers evenly into 9 and 9.

Answer:

I could be wrong, but I think it's x=12

Answer:

Step-by-step explanation:

First let's set this into a proportion:

[tex]\frac{8}{x}=\frac{12}{18}\\144=12x\\12=x[/tex]

Hope this helps

Answer:

Stefanie bought 10 erasers.

Step-by-step explanation:

Stefanie bought a package of pencils for $1.75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items.

Beind "x" be the number of erasers bought, you can express Stepanie's purchases by the equation:

1.75 + 0.25*x = 4.25

Solving:

0.25*x = 4.25 - 1.75

0.25*x = 2.5

x= 2.5÷ 0.25

x=10

Stefanie bought 10 erasers.

Answer:

10 erasers

Step-by-step explanation:

Answer:

substitute all given values in this formula v=base ×height

then height= base /volume

Step-by-step explanation:

Answer:

its 10 points...

Step-by-step explanation:

but b

Answer:

The amount in the account after 3 years is $672.00

Step-by-step explanation:

Here, we want to use the compound interest formula

A = P(1 + r/n)^nt

A is the amount in the account after the given time

P is the principal which is the deposit amount = $600

r is the interest rate = 3.85% = 3.85/100 = 0.0385

n is the number of times interest is compounded yearly (since it is annually, n = 1)

t is the time in years = 3

Substituting these values;

A = 600(1 + 0.0385/1)^(3 * 1)

A = 600(1.0385)^3

A = $672

Answer:

At least 16 service technicians

Step-by-step explanation:

Given

[tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]

Required

Number of service technician to be online at 12 noon

First, we calculate the value of t

[tex]t = 12\ Noon - 8:00AM[/tex]

[tex]t = 4[/tex]

Substitute [tex]t = 4[/tex] in [tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]

[tex]C(4) = -0.0625 * 4^4 + 4^3 - 6 * 4^2 + 16 * 4[/tex]

[tex]C(4) = 16[/tex]

This implies that there are 16 customers online at 12 noon.

If 16 customers are online, then there should be at least 16 service technicians online.

Answer:

D

Step-by-step explanation:

180-43=137

Answer:

180 - (43 + 56) = 81 (angle 1)

180 - 81 = 99 (angle 2)

180 - 56 = 124 (angle 3)

180 - 43 = 137 (angle 4)

Step-by-step explanation:

Answer:

The relative frequency of 45 is 1

Step-by-step explanation:

Answer:

If using one pound of pumpkin the baker needs to use 4 pounds of flour mixture

Step-by-step explanation:

step 1: I am going to convert the measurements

into decimals

8/5=1.6

2/5=.4

step 2: I will use cross multiplication to find out how much pumpkin for one pound of flour

1.6=.4

 1=?

1*.4=.4/1.6=.25

step 3:  I will convert .25 into a fraction

.25=1/4

for every 1/4 pound pumpkin, I will use 1 pound of flour

which is why

If using one pound of pumpkin the baker needs to use 4 pounds of flour mixture

Answer:

16 inches squared

Step-by-step explanation:

We can split the figure into two rectangles. Rectangle 1 will have an area of 2*3=6. Rectangle 2 will have an area of 2*5=10

10+6=16

Answer:

the solution to that is 26.

Answer:

26

Step-by-step explanation:

Substitute x = - 6 into the expression

x² + x - 4

= (- 6)² + (- 6) - 4

= 36 - 6 - 4

= 30 - 4

= 26

Answer:

the estimate is : 39 7/32

the answer is :   46  9/35

Answer:

4.2 laps

Step-by-step explanation:

because 4 laps is 1600+ the 80 which is a 1/5 of 400 causing it to be .2

Answer:

f = 2 1/4c

Step-by-step explanation:

Number of cups of flour is proportional to the number of cakes

Number of cups of flour = f

Number of cakes = c

Therefore,

f = k * c

Where,

k = constant of proportionality

Number of cups of flour = 22 1/2 cups

Number of cakes = 10 cakes

f = k * c

22 1/2 = k * 10

45/2 = 10k

k = 45/2 ÷ 10

= 45/2 × 1/10

= (45*1) / (2*10)

= 45/20

= 2 5/20

k = 2 1/4

The equation is

f = k * c

f = 2 1/4 * c

f = 2 1/4c

Answer:

6x^3-6x^2+42x

Step-by-step explanation:  hoped i helped

Answer:

Step-by-step explanation:

6x(x²-x+7) = 6x³-6x²+42x

Answer:

135

Step-by-step explanation:

[tex](7 + 2 {}^{3} ) \times 9 \\ = (7 + 8) \times 9 \\ = 15 \times 9 \\ = 135[/tex]

Answer:

135

Step-by-step explanation:

2 cubed=8

8+7=15

15x9=135

~Kindly see the attached picture!

✧ Hope I helped ! ✧

Have a wonderful day / night ! ♡

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Answer:

Drama club 82 students

yearbook club 100 students

Answer:

m<1 = 69

m<2 = 37

m<3 = 106

m<4 = 21

Step-by-step explanation: