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1 year ago

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A triangle has a side length of 10 inches and a side length of 3 inches. What could be the length in inches of the third side of

the triangle?

1 answer:

Leya [2.2K]1 year ago

4 0

I think u need to multiply I don’t really know

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Prove that the triangle EDF is isosceles. Give reasons for your answer.

Gekata [30.6K]

Answer:

$\triangle EDF$ is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are <u>given</u> the following things:

$\angle EDF = y$

$\text{External }\angle DFG = 90 +\dfrac{y}{2}$

Let us try to find out $\angle E$ and $\angle DFE$ . After that we will compare them.

<u>Finding </u> $\angle DFE$ <u>:</u>

Side EG is a straight line so $\angle GFE = 180$

$\angle GFE$ is sum of internal $\angle DFE$ and external $\angle DFG$

$\angle GFE = 180 = \angle DFE + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)$

<u>Finding </u> $\angle E$ <u>:</u>

<u>Property of external angle:</u> External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external $\angle DFG$ = $\angle E + \angle EDF$

$\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2} -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)$

Comparing equations (1) and (2):

It can be clearly seen that:

$\angle DFE = \angle E =90-\dfrac{y}{2}$

The two angles of $\triangle EDF$ are equal hence $\triangle EDF$ is isosceles.

8 0

2 years ago

Please help me with this. What am I supposed to set the ratio equal to?

jenyasd209 [6]

The number that you get

6 0

3 years ago

Please help me with this

kaheart [24]

Answer:

Step-by-step explanation:

domain = {-7, 6, 1}

range = {-4,0}

6 0

2 years ago

Suppose that y varies directly as the square root of x, and that y=21 when x=361. What is y when x=247? (Round off your answer t

igomit [66]

Answer:

17.37

Step-by-step explanation:

y varies inversely as the square root of x

Mathematically:

y = k.root x

We first find k here

To find k, we were made to know that y is 21 and x = 361

k = y/root.x

k = 21/root. 361

k = 21/19

now what is y when x = 247

From y = k.root x

y = 21/19 * root 247

y= 21/19 * 15.72

y = 17.37

8 0

2 years ago

Jack and Walter work in a store's gift-wrapping department. Jack can wrap 28 boxes in 2 hours, while Walter takes 3 hours to wra

kodGreya [7K]

Answer:

C.

Step-by-step explanation:

Jack's rate = 28/2 = 14 boxes/hour

Walter's rate = 36/3 = 12 boxes/hour

Combined rate = 14 + 12

= 26 boxes/hour

26 = 65/t

26t = 65

3 0

2 years ago