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2 years ago

Classify the following triangle. Check all that apply

Mathematics

1 answer:

grandymaker [24]2 years ago

4 0

Answer:

D, E

Step-by-step explanation:

All sides are not the same length so not A

Two sides are not the same length so not B

Not all angles are less than 90 so not C

All sides are different length so D

There is a right angle so E

Not all sides are greater than 90 so not F

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2 years ago

Use the number 145,973 write the name of the period that has the digits 145

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2 years ago

Simplify 6f+5g-3f+3g

VARVARA [1.3K]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Make use of structure. For rectangle ABCD, two vertices are A(-2, 3) and B(4, 6). Find the slopes of BC, CD, and DA. Explain you

MrRissso [65]

We are given a rectangle ABCD

A(-2, 3)

B(4, 6)

We are asked to find the slopes of sides BC, CD, and DA.

Let me first draw a rectangle to better understand the problem

Recall that the slope is given by

$m=\frac{y_2−y_1}{ x_2−x_1}$ $\text{where}(x_1,y_1)=(-2,3)\text{and}(x_2,y_2)=(4,6)$

So the slope of side AB is

$m_{AB}=\frac{6-3}{4-(-2)}=\frac{3}{4+2}=\frac{3}{6}=\frac{1}{2}=0.5$

The sides BC and DA are perpenducluar to the side AB.

So their slopes will be

$m_{BC}=m_{DA}=\frac{1}{-m_{AB}}$

Substituting the value of slope of AB

$m_{BC}=m_{DA}=\frac{1}{-0.5}=-2$

The side CD is parallel to the side AB.

Parallel sides have equal slopes so

$m_{CD}=m_{AB}=\frac{1}{2}$

Therefore, the slopes of the rectangle ABCD are

$\begin{gathered} m_{AB}=m_{CD}=\frac{1}{2} \\ m_{BC}=m_{DA}=-2 \end{gathered}$

3 0

1 year ago

Translate the sentence into an equation. The difference of a number divided by 3 and 5 is equal to 2 . Use the variable w for th

Whitepunk [10]

Hey there :)

Let us translate each one separately
{ Using w for unknown }

The difference of a number divided by 3 and 5 is 2
'is' is the key-word, meaning you apply the = sign
Difference is subtraction

→ a number divided by 3 - 5 = 2

This is your equation:
→ $\frac{w}{3} -5=2$

Solving for w
Take 5 to the other side
[ When you see subtraction you do addition on the opposite side ]
→ $\frac{w}{3}=2+5$
$\frac{w}{3}=7$

Take 3 to the other side
[ When you see division you do multiplication on the opposite side ]
w = 3 x 7
w = 21

7 0

3 years ago