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4 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics

1 answer:

ololo11 [35]4 years ago

3 0

Answer:

∠2≅∠6 because they are corresponding angles (both are upper right of where the lines intersect)
∠5≅∠8 because they are vertical angles (formed by the same pair of lines with only their vertex in common)

Step-by-step explanation:

You have to be able to apply the definitions of corresponding angles and vertical angles.

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Ron has 75 blue marbles and 125 red marbles. Enter the percent of blue marbles as a part of all marbles.

Ann [662]

Answer:

Step-by-step explanation:

% = Red / (Blue + red ) * 100

% = 75/(125 + 75) * 100

% = 75 / 200 * 100

% = 7500 / 200 = 37.5% are blue

5 0

3 years ago

Question 4 (5 points)

Masja [62]

Answer:

The scale factor was used in the dilation is 3

Step-by-step explanation:

Dilation is a kind of transformation that changes the size of figures

Image of a figure by dilation and the figure are similar

If a triangle dilated by a scale factor k then its image is similar to it, and the constant ratio between their corresponding sides is equal to k

∵ Δ ABC is dilated to form Δ DEF

∴ Δs ABC and DEF are similar

- That mean their corresponding sides have constant ratio

equal the scale factor of dilation

∴ $\frac{DE}{AB}=\frac{EF}{BC}=\frac{DF}{AC}=k$

Size of Δ DEF is greater than size of Δ ABC, that means k > 1

∵ AC = 2 units

∵ DF = 6 units

∵ $\frac{DF}{AC}=k$

∴ $\frac{6}{2}=k$

∴ 3 = k

∵ The scale factor of dilation is equal to the constant ratio k

∵ k = 3

∴ The scale factor was used in the dilation is 3

3 0

3 years ago

If BK = 15, what is KQ?

svlad2 [7]

Answer:

KQ = bk/2kq

Kq = 25/2 = 12.5

Step-by-step explanation:

Hope this helps!

8 0

3 years ago

a square red rug has a purple square in the center. the side length of the purple square is x inches. the width of the red band

Bumek [7]

Answer:

Area of red band is $(20x + 100) inch^{2}$

Step-by-step explanation:

We know that area of square = $side^{2}$

Please refer to the attached figure, we have to calculate the area of red band.

Required area = Area of square ABCD - Area of purple square

Side of purple square = $x$

So, area of purple square = $x^{2}$

ABCD is a square with purple square at the center and there is symmetry in the figure.

So, width of red band towards both the end is 5 inches.

$\Rightarrow \text{side of }ABCD = 5 + 5 +x = (x+10) inches$

Required area = $(x+10)^{2} - x^{2}$

Using formula $a^{2} - b^{2} = (a-b)\times (a+b)$

$\Rightarrow (x+10-x)(x+10+x)\\\Rightarrow (10)(2x+10)\\\Rightarrow (20x+100)$

Hence, Area of red band is $(20x + 100) inch^{2}$

5 0

3 years ago

Help with 14# plz!!!

never [62]

15x - 6 = -9
9(x+2) = 9x+2=11x
9+11x=19x
Right???

7 0

3 years ago

Read 2 more answers