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2 years ago

If triangle DEF is classified as equilateral, which statement must be true?

Mathematics

1 answer:

patriot [66]2 years ago

6 0

Answer:

all three sides are congruent.

Step-by-step explanation:

it is equiangular.

sides are equal.

angles are equal.

all three sides are congruent.

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2 years ago

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2 years ago

a class has 20 trays of paint each trays has 6 colors 1 of the color is red what fraction of the colors in the 20 trays is red

Molodets [167]

Answer: it is 1/6

You can solve by saying, 1 out of 6 in each tray is red, so my fraction should be 1/6.

It doesn't matter the amount of trays because the pattern is always the same.

But if you want to check it out you can do it in this way.

You know there is 1 red color per tray, if there are 20 then you'd have 20 of them, in each tray there are 6 colors so the total is 120.

Now you solve it if there are 20 red colors out of 120 them the answer is 20/120, thus you get 1/6

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

What is the most precise name for a quadrilateral with the following vertices:

lozanna [386]

Answer:

The most precise name for a quadrilateral ABCD is a parallelogram

Step-by-step explanation:

we have

A(2,3) B(7,2) C(6,-1) D(1,0)

Plot the quadrilateral'

using a graphing tool

The quadrilateral ABCD in the attached figure

Verify the length of the sides

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find distance AB

A(2,3) B(7,2)

substitute

$d=\sqrt{(2-3)^{2}+(7-2)^{2}}$

$d=\sqrt{(-1)^{2}+(5)^{2}}$

$d_A_B=\sqrt{26}\ units$

step 2

Find distance BC

B(7,2) C(6,-1)

substitute

$d=\sqrt{(-1-2)^{2}+(6-7)^{2}}$

$d=\sqrt{(-3)^{2}+(-1)^{2}}$

$d_B_C=\sqrt{10}\ units$

step 3

Find distance CD

C(6,-1) D(1,0)

substitute

$d=\sqrt{(0+1)^{2}+(1-6)^{2}}$

$d=\sqrt{(1)^{2}+(-5)^{2}}$

$d_C_D=\sqrt{26}\ units$

step 4

Find distance AD

A(2,3) D(1,0)

substitute

$d=\sqrt{(0-3)^{2}+(1-2)^{2}}$

$d=\sqrt{(-3)^{2}+(-1)^{2}}$

$d_A_D=\sqrt{10}\ units$

step 5

Compare the length sides

AB=CD

BC=AD

Opposite sides are congruent

<em>Verify the slope of the sides</em>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find slope AB

A(2,3) B(7,2)

substitute

$m=\frac{2-3}{7-2}$

$m=\frac{-1}{5}$

$m_A_B=-\frac{1}{5}$

step 2

Find slope BC

B(7,2) C(6,-1)

substitute

$m=\frac{-1-2}{6-7}$

$m=\frac{-3}{-1}$

$m_B_C=3$

step 3

Find slope CD

C(6,-1) D(1,0)

substitute

$m=\frac{0+1}{1-6}$

$m=\frac{1}{-5}$

$m_C_D=-\frac{1}{5}$

step 4

Find slope AD

A(2,3) D(1,0)

substitute

$m=\frac{0-3}{1-2}$

$m=\frac{-3}{-1}$

$m_A_D=3$

step 5

Compare the slopes

$m_A_B=m_C_D$

$m_B_C=m_A_D$

The slope of the opposite sides are equal, that means, opposite sides are parallel

The slopes of consecutive sides are not opposite reciprocal, that means, consecutive sides are not perpendicular

therefore

The most precise name for a quadrilateral ABCD is a parallelogram

8 0

2 years ago

What is 1/3 multiply 2/4

Greeley [361]

Answer:

1/3 * 2/4 = 1/3 * 1/2 = (1*1)/(3*2) = 1/6

4 0

2 years ago

Read 2 more answers