Find the measure of each angle whose degree measure is represented in terms of x in the given
triangle.


Please help :)

Answer:

ACF

Step-by-step explanation:

angles must be equal since the triangles are similar

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The statement that are correct are x=35, y = 55, and z =90.

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

Given the ΔPQR is similar to ΔSTU, therefore, the statements that are correct about the two triangles are,

∠P = ∠S = x = 35°

∠Q = ∠T = y

∠R = ∠U = z = 55°

Since the sum of all the angles of a triangle is equal to 180°. For ΔPQR we can write,

∠P + ∠Q + ∠R = 180°

°35 + y + 55° = 180°

y = 180° - 55° - 35°

y = 90°

Hence, the statement that are correct are x=35, y = 55, and z =90.

Learn more about Similar Figures:

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It is false

Step-by-step explanation:

Hope it will help you

Answer:

m∠ x = 67

Step-by-step explanation:

∠AJK = ∠AHI = 67 Corresponding Angles

180 - 67 - 46 = x

x = 67

Triangle Sum Theory - the sum of all angles in a triangle = 180

Also, when you see parallel lines look for Corresponding,

Alternate Interior or Same side Interiors.

Step-by-step explanation:

s+u

Add t: You will need to introduce brackets

(s+u) + t

Add v: Introduce another v

((s/u) + t) + v

Answer:

Is it anual or monthly?

Step-by-step explanation:

Answer:

8d68d68fu9d6rf0d

c9yd7xpjd

puf68d6rif7

Answer:

Grey's Anatomy

Step-by-step explanation:

Step-by-step explanation:

solved in the diagram above

I hope it helps you

Answer:

4

Step-by-step explanation:

p=120 -5Q

when p = 80

80 = 120 -5Q

Q=8

and when p= 60

60 = 120 -5Q

Q=12

so, change in consumer surplus = 12-8

= 4

Answer:b

Step-by-step explanation:

Ive done this

Step-by-step explanation:

x²+12x=40

(x+6)²-6²-40=0

(x+6)²-76 = 0

Answer:

0

Step-by-step explanation:

48.5302

The number just to the left of the decimal point is the ones place. The 8 is in the ones place. Every place to the left is 10 times greater than the previous one, and every place to the right is 10 times smaller than the previous one.

48.5302

4 - tens place - 4 tens means 40

48.5302

8 - ones place - 8 ones means 8

48.5302

5 - tenths place - 5 tenths means 0.5

48.5302

3 - hundredths place - 3 hundredths means 0.03

48.5302

0 - thousandths place - 0 thousandths means 0.000

48.5302

2 - ten-thousandths place - 2 ten-thousandths means 0.0002

Answer: 0

Answer:

THE SAME

Step-by-step explanation:

Hello!

[tex]\large\boxed{P = 300m}[/tex]

Use the following formula for the perimeter:

P = 2l + 2w, where:

l = length

w = width

Therefore:

P = 2(90) + 2(60)

Simplify:

P = 180 + 120 = 300 m

Answer:

well how about you use common sense 100 yards long on each side 200 yards then add 5o yards since the the that is how wide it is then add another 50 and you get 300 yards then convert that to meters

Answer:

14

Step-by-step explanation:

Substitute x for -2

3(-2)^2 - (-2)

3(4) +2

12+2=14

Answer:

Step-by-step explanation:

1. 3/7 x = 12

  3x = 84

    x = 28

2. 3x+ 6 = 39

   3x = 33

    x = 11

3. 1/3 x - 3/4 x = 15

    9x  - 4x  = 180

       x =  36

4.   1/4 x = x -21

      3/4 x = 21

      3x = 84

        x=28

5.    86-36 = 50

      50/2

       25

Answer:

A - $214.40

Step-by-step explanation:

Since b is the number of boxes of cards and n is the number of ink colors, and we're given the number of boxes of cards, and number of ink colors, we plug in:

4= b

and

3 = n

into the given equation to solve for C.

Using the order of operations we start inside our parentheses and work from there:

C= $25.60*4 + $14.00*4(3 - 1)

C= $25.60*4 + $14.00*4(2)

C= $102.40 + $112

C= $214.40

Answer:

x = 100 degree

Step-by-step explanation:

EF//GC => NF // OC

∠ANE=∠ONF     [Vertically opposite angles]

∠ONF=80

In Quadrilateral OCFN,

NF // OC

∠ ONF + x = 180     [Linear Pair]

=> 80 + x = 180

=> x = 180-80

=> x = 100

Answer:

x=100°

Step-by-step explanation:

corresponding angles

Answer:

It means that the project is in good shape, within budget an d it would finish early

Step-by-step explanation:

The answer to this question is pretty straight forward. If a project has the percent spent fine 90 percent, the scheduled has percentage of 85 percent and the complete is at the percentage of 95, what it means is that this project is in good shape, the project being carried out is still being done within the proposed budget and at 95% complete, it means that the project is going to finish early.

Answer:

Step-by-step explanation:

Answer to question 1:

On average do part-time students spend less than 20 hours per work on academic work and assignments ?

Answer to question 2:

On average do students work greater than 50 hours a week ?

Answer:

separate the x from the numbers it will make the equation easier

A photograph having length of 24 inches which is proportionate to another photograph having dimensions 3 × 4 inches, has width of 18 inches.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a whole. According to the definition of proportion, two ratios are in proportion when they are equal.

Let the width of the photograph be x inches.

The length of the photograph is 24 inches.

A similar proportion photograph has width as 3 inches.

A similar proportion photograph has length as 4 inches.

The equation to find the width of photograph is -

x / 24 = 3 / 4

Simplify the equation -

x = (24 × 3) / 4

x = 72 / 4

x = 18

Therefore, the width value is 18 inches.

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Answer:

A. ¼

Step-by-step explanation:

Rate of change (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Using two points on the line, (4, 1) and (-4, -1), find the rate of change using the formula stated above:

Where,

[tex] (4, 1) = (x_1, y_1) [/tex]

[tex] (-4, -1) = (x_2, y_2) [/tex]

Plug in the values

Rate of change (m) = [tex] \frac{-1 - 1}{-4 - 4} [/tex]

= [tex] \frac{-2}{-8} [/tex]

= [tex] \frac{1}{4} [/tex]

Rate of change = ¼

Answer:

Graph 2 which has both solid and dashed line

Step-by-step explanation:

Given the linear inequalities :

y>2/3x+3 - - - (1)

y ≤ -1/3x+2 - - - (2)

One quick observation that can be made from the two graphs is the type of line used to plot the two linear inequalities;

Inequalities that uses either the < or > sign are plotted using a dashed line while inequalities with makes use of ≤ or ≥ are plotted using the solid line. Therefore we can conclude that the graph which uses both the solid line and the dashed line to represent the linear inequality conditions is the correct choice.

Answer:

4, -1

Step-by-step explanation:

We can reverse the FOIL (First, outside, inside, last) method to break down the equation. The question is asking to solve by factoring so you want to find the right combination of numbers this equation can be broken down into:

x^2 - 3x - 4 = 0

Because we want x squared, x needs to be multiplied by itself, so we can put x in the first slot for each.

(x + or - ?) ( x + or - ?) = 0

Then we need to find numbers that could be added to get -3 and multiplied to get -4. The only set of numbers that works for this is -4 and 1. Note that the sign you put in front of each number has an impact on your answers. With this we get:

(x - 4) (x + 1) = 0

To test that this is equal to the original equation, simply multiply it out using FOIL.

x * x = x^2

x * 1 = x

x * -4 = -4x

-4 * 1 = -4

Putting each component into an equation:

x^2 + x - 4x - 4 = 0

Simplifying:

x^2 - 3x - 4 = 0

Once we are sure it is still the same equation, we find the solutions. We know 0 multiplied by anything equals 0, so to get 0 as the answer, one of the sets in the parentheses must equal 0. (It doesn't matter what the other one is as long is one equals 0)

Therefore, we have 2 solutions, 4, and -1 because if x is 4, 4-4 is 0 which solves the equation, and if x is -1, then -1 + 1 is 0 which also solves the equation.

You can also check your answers by plugging them back into the original equation.

Answer:

x2-4

Step-by-step explanation:

Answer:

hope it helps

Answer:

$2,145 ; $147 ; 14 months

Step-by-step explanation:

Given that :

The cash price, that is, the amount that would be paid if customer is to pay the entire amount item is worth at once = $1998

Monthly payment = $143

Period = 15 months

The total installment price ; total amount paid on a monthly pay for 15 months :

(monthly payment * period)

($143 * 15)

= $2,145

The carrying charge :

Installment pay - Cash amount

$(2,145 - 1,998)

= $147

The number of month needed to save at Monthly rate to buy item at it's cash price :

Cash price / monthly payment

$1998 / $143

= 13.97

= 14 months

Answer:

Step-by-step explanation:

Answer:

A. -400

Step-by-step explanation:

We solve for the swap rate

R = (1-p3)/(p1+p2+p3)

R = 1-0.88/0.97+0.93+0.88

= 0.12/2.78

= 0.04317

Remember 4.45% is the one year spot rate for the second option

Net swap

= 300000*0.04317-300000*0.0445

= 12951-13350

= -399

This is approximately -400

So the net swap payment at the end of the second year is option a, -400

Answer:

Step-by-step explanation:

a)

zo=(89.0-92.2)/sqrt((1.5/15)+(1.2/20))

zo=-8.00

p-value=0.0000

Reject the null hypothesis.

b)

95% confidence interval for difference

=(89-92.2)+/-1.96*sqrt((1.5/15)+(1.2/20))

=-3.2+/-0.78

=(-3.98, -2.42)