Use what you know about the angle sum theorem for triangles and your algebra skills to solve for x and find the measure of all three angles:

Answer:

Step-by-step explanation:

Question:

On a coordinate plane, △ABC has points (-2, 7), (-2, 3), and (-6, 3) and △DEF has points (-2,-10), (-2, -2), and (6, -2).

Given that

[tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{1}{2}[/tex]

Complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem.

Horizontal and vertical lines are __(1)__. So, angles are right angles by definition of perpendicular lines. All right angles are __(2)__

Therefore, △ABC ~ △DEF by the SAS similarity theorem.

Answer:

(1) perpendicular

(2) congruent

Step-by-step explanation:

Required

Fill in the gaps

[tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{1}{2}[/tex] implies that:

[tex]AB : DE= BC : EF[/tex]

In other words:

AB ~ DE ---- Side (S)

and

BC ~ EF ---- Side (S)

Now to fill in the gap with:

(1) perpendicular

(2) congruent

Further explanation

(1) Vertical lines and horizontal lines meet at a right angle (i.e. 90 degrees). Any two lines that meet at a right angle are perpendicular

(2) Angles with equal measures are congruent. Because right angles have a congruent angles of 90 degrees, then they are congruent.

Answer:

Given that StartFraction A B Over D E EndFraction = StartFraction B C Over E F EndFraction = one-half, complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem.

Horizontal and vertical lines are

✔ perpendicular

.

So, angles

✔ B and E

are right angles by definition of perpendicular lines.

All right angles are

✔ congruent

.

Therefore, △ABC ~ △DEF by the SAS similarity theorem.

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer: the answer is true sorry if its wrong

Step-by-step explanation:

have a nice day buddy

Answer:

[tex]\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ 8x & {0} & {8} & {16} & {24} \ \end{array}[/tex]

Step-by-step explanation:

Given

[tex]8x[/tex]

Required:

Solve for [tex]x = 0,1,2,3[/tex]

For x = 0

[tex]8x = 8 * 0[/tex]

[tex]8x = 0[/tex]

For x = 1

[tex]8x = 8 *1[/tex]

[tex]8x = 8[/tex]

For x= 2

[tex]8x = 8 * 2[/tex]

[tex]8x = 16[/tex]

For x = 3

[tex]8x = 8 *3[/tex]

[tex]8x = 24[/tex]

Hence, the results are:

[tex]\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ 8x & {0} & {8} & {16} & {24} \ \end{array}[/tex]

Answer:

true

false

true

false

true

Step-by-step explanation:

Hello There!

We are going to convert each fraction to decimal form to make it easier to tell if the statement is true or false

[tex]\frac{2}{3} =.66\\\\\frac{2}{6}=.33[/tex]

.66 is greater than .33 therefore [tex]\frac{2}{3} >\frac{2}{6}[/tex] is a true statement

[tex]\frac{8}{10} =.8\\\\\frac{6}{5} =1.2[/tex]

1.2 does not equal 8 therefore [tex]\frac{8}{10} =\frac{6}{5}[/tex] is a false statement

[tex]\frac{1}{8} =.125\\\\\frac{1}{4}=.25[/tex]

.25 is greater than .125 therefore  [tex]\frac{1}{8} <\frac{1}{4}[/tex] is a true statement

[tex]\frac{2}{4} =.5\\\\\frac{1}{2} =.5[/tex]

.5 is equal to .5 therefore [tex]\frac{2}{4} >\frac{1}{2}[/tex] is a false statement

[tex]\frac{4}{10} =.4\\\\\frac{4}{6} =.66[/tex]

.66 is greater than .4 therefore [tex]\frac{4}{10} <\frac{4}{6}[/tex] is a true statement

Answer: true false true false true sorry and just give the other person brainly and thank u

Step-by-step explanation: have a nice day

Answer:

y=2x-3

Step-by-step explanation:

y=mx+c

m=gradient=

5-(-5)/4-(-1)

=10/5

=2

c=y intercept=-3

y=2x-3

Answer:

y = 2x - 3

Step-by-step explanation:

(4, 5) and (0, -3)

m=(y2-y1)/(x2-x1)

m=(-3-5)/(0-4)

m=(-8)/(-4)

m=2

y - y1 = m(x - x1)

y - 5 = 2(x - 4)

y - 5 = 2x - 8

y = 2x - 3

Answer:

i dont know about the diagram but the answer is 9

Step-by-step explanation:

Answer: 24 square yards

Step-by-step explanation:

Given

Dimension of the family room is [tex]4\ \text{yards}\times 6\ \text{yards}[/tex]

[tex]\Rightarrow \text{Area required}=4\times 6=24\ \text{yards}^2[/tex]

Family requires 24 square yards of flooring

Answer:

$35

Step-by-step explanation:

jus trust

Answer:

Area of semi-circle = [tex]\frac{1}{2}\pi r^{2}[/tex]

Perimeter of semi-circle = [tex]\pi r + 2r[/tex]     where r is the radius

Step-by-step explanation:

Pi has been used in the construction of arches, bridges, churches and buildings.

Since the bridges and arches are semicircles, Pi helps in determining perimeter of the semicircle which in turn helps in calculating the amount of material required for construction.

Area of semi-circle = [tex]\frac{1}{2}\pi r^{2}[/tex]

Perimeter of semi-circle = [tex]\pi r + 2r[/tex]     where r is the radius

Answer:

Problem:

If you deposit $4500 into an account paying 6.25% annual interest compounded yearly , how much money will be in the account after 6 years?

Step-by-step explanation:

Result:

The amount is $6474 and the interest is $1974

I rounded it for ya ==^-^==

Answer:

650% increase

Step-by-step explanation:

150/20 = 7.5

7.5 - 1 = 6.5

6.5 × 100 = 650%

Let's make sure this is correct.

650/100 = 6.5

6.5 + 1 = 7.5  The extra 1 represents the increase!

20 × 7.5 = 150

I hope this helps!! ^-^

Answer:

Answer is D hope this helps

Step-by-step explanation:

Answer:

7 Quarters and 3 dimes

Step-by-step explanation:

You have to find how many quarters (0.25) and dimes (0.10) are in $2.05. There are 7 quarters, which will add up to $1.75. You can't have 8 quarters because then you would have 2 dollars, and there wouldn't be enough for a dime, there would only by 5 cents left, or a nickle. Then, you find out how many nickels you need, which is 3.

.10x3=.30. 1.75+0.3=2.05.

I hope you understood:)

Answer:

x=quarters

x-4 =dimes

.25x+.10(x-4)=2.05

.25x + .10x-.40=2.05

.35x = 2.45

divide by 0.35, both sides

x=7

x-4=3

7 quarters ($1.75)

3 dimes ($0.30

Total=$2.05

so you need 7 quarters and 3 dimes

Step-by-step explanation:

Answer:7.922927...

or just 7

Step-by-step explanation:

Answer:3m-5n

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The drawing scale is ...

  1/4" : 1 ft = 1/4" : 12" = 1 : 48

1) The bedroom shape has two pairs of parallel sides and right-angle corners. It is a rectangle.

__

2) The area of the drawing is 20(1/4 in) × (22(1/4 in)) = 440(1/16 in²)

  = 27.5 square inches . . . . area of the bedroom on the drawing

__

3) The drawing side of the bed is 1/48 of the bed's actual dimensions, so is ...

  54/48 in × 80/48 in = 1 1/8 in × 1 2/3 in . . . . size of the bed on the drawing

__

4) The drawing looks like it may have been made on a 1/4" grid, but there are only 17 grid squares along the side labeled 20 (feet). So, we actually have no good reference for size. Using the dimension marked as 3 feet for reference we estimated the bed size, trying for 4 1/2 by 6 2/3 feet.

When we print the figure to a piece of paper, we have to scale it to 88.1% to make the 20-foot dimension come out 5 inches. Doing that shows our bed outline is about 82 inches long, not 80 inches long. YMMV

Acceleration is 2.......

Answer:

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal sum plus previously accumulated interest.

Step-by-step explanation:

Answer:

i dont know math stinks

Step-by-step explanation:

Answer:

I guess the answers in the photo?

Answer:

Its a:70 degrees..........

Answer:

60 degrees

Step-by-step explanation:

This is because on the other side there is 30 degrees, and since a right angle= 90 degrees, simply do 90-30=60

Answer:

the answer is c

Step-by-step explanation:

Answer:

x = 65°

Step-by-step explanation:

these are vertical angles, which are congruent

145 = 2x + 15

130 = 2x

65 = x