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3 years ago

Which construction could be used to construct an isosceles triangle ABC given line

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

4 0

Answer:

In the given two column proof two sides and included angles are equal.

Triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles .In the figure sides BD≅BD , AB≅ BC and <ABD ≅,BDD Therefore triangle ABD and triangle CBD are congruent by SAS property of congruence.

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How to work out PEMDAS

larisa86 [58]

Oder of operations is this;

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3 years ago

Read 2 more answers

Find the reference angle given: t= -5π/3.

Elina [12.6K]

Answer:

The reference angle is $\frac{\pi}{3}$

Step-by-step explanation:

The given angle is $t=-\frac{5\pi}{3}$

The reference angle is the acute angle, that a given angle makes with the x-axis.

First let us make a sketch of the given angle. <em>See diagram in attachment.</em>

Let $\theta$ be the reference angle of $t=-\frac{5\pi}{3}$

Then, from the diagram, we need to subtract $\theta$ from $-\frac{5\pi}{3}$ to get to $-2\pi$ .

We can therefore write the following equation and solve for $\theta$ .

$\Rightarrow -\frac{5\pi}{3}-\theta=-2\pi$

We group like terms to get,

$\Rightarrow -\theta=-2\pi +\frac{5\pi}{3}$

We collect LCM to get,

$\Rightarrow -\theta=\frac{-6\pi+5\pi}{3}$

We simplify to get,

$\Rightarrow -\theta=-\frac{\pi}{3}$

We divide through by $-1$

$\theta=\frac{\pi}{3}$ to get,

The correct answer is D.

4 0

3 years ago

It takes 40 minutes for eight people to paint four walls how many minutes does it takes 10 people to paint seven walls

sasho [114]

8r(40)=4

r=1/80 that is the rate for each person...

10rt=7 using r we found before

10(1/80)t=7

t/8=7

t=56 minutes.

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4 years ago

Solving Exponential equation 7^7x+5 = 2^x-1

JulijaS [17]

Answer:

x=-6/7^7-2

Step-by-step explanation:

4 0

3 years ago

the amount of gasoline at a gas station changes from 58,432.4 gallon to 56,475.2 gallon from 2:00 pm to 4:00 pm. what rational n

jarptica [38.1K]

Answer:

I take it you mean the average gallons lost an hour, in which case you would do 58,432.4 - 56,475.2 to get 1,597.2 to which you divide by 2 getting your final answer of 978.6

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3 years ago