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3 years ago

8

If you know the measure of the vertex angle of an isosceles triangle, how do you find out the measure of the base angles?

1 answer:

Irina-Kira [14]3 years ago

6 0

Answer:

Step-by-step explanation:

An isosceles triangle has 2 sides that are the same length. Let's say that our triangle has the 2 sides measuring the same and the base is a different length. The vertex angle is the top angle. By the definition of an isosceles triangle, since the 2 sides measure the same length, then the angles across from those sides have the same degree measure. If we know the measure of the vertex angle, then we have

180 = vertex angle - base angle - base angle

but since the base angles are the same and we have 2 of them, then

180 = vertex angle - 2 base angles

For example, if the vertex angle measures 80 degrees, then 180 - 80 = 100. That 100 has to be split in half for each of the base angles which are the same as each other. So the vertex angle is 80 and each base is 50.

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Which expression shows the prime<br> factorization of 66?<br> A 32 x 11<br> B 2x 3 x 11<br> C 6 x 11

lesya [120]

Answer:

B 2x 3 x 11

Step-by-step explanation:

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3 years ago

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In ΔCDE, \overline{CE}

abruzzese [7]

Answer:

$m\angle CDE=14^o$

Step-by-step explanation:

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

see the attached figure to better understand the problem

so

∠DEF=∠ECD+∠CDE

substitute the given values

$(4x+5)^o=(x+9)^o+(x+8)^o$

solve for x

Combine like terms

$(4x+5)^o=(2x+17)^o$

Group terms

$4x-2x=17-5$

$2x=12$

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$m\angle CDE=(x+8)^o$

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$m\angle CDE=(6+8)=14^o$

8 0

3 years ago

jack wants to paint his walls. two walls are 12 ft by 8 ft and two walls are 10 ft by 8 ft. what is the area to be painted? if o

Ksivusya [100]

Answer:

352 ft (squared) , he will need 12 paint cans

Step-by-step explanation:

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3 years ago

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.<br> r = 9 sin 7θ

boyakko [2]

Answer:

The given function symmetric about the y-axis.

Step-by-step explanation:

The given function is

$r=9\sin 7\theta$ .... (1)

1. Symmetry about the x-axis: If the point (r, θ ) lies on the graph, then the point (r,-θ ) or (-r, π - θ ) also lies on the graph.

2. Symmetry about the y-axis: If the point (r, θ ) lies on the graph, then the point (r,π - θ ) or (-r, -θ ) also lies on the graph.

3. Symmetry about the origin: If the point (r, θ ) lies on the graph, then the point (-r, θ ) or (r, π + θ ) also lies on the graph.

Put (r, -θ ) in the given function.

$r=9\sin 7(-\theta)=-9\sin 7\theta=-r\neq r$

Therefore it is not symmetric about x-axis.

Put (-r, -θ ) in the given function.

$-r=9\sin 7(-\theta)=-9\sin 7\theta=-r$

Therefore it is symmetric about y-axis.

Put (-r,θ ) in the given function.

$-r=9\sin 7(\theta)=r\neq -r$

Therefore it is not symmetric about the origin.

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3 years ago

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muminat

Answer:

74 and 740

Step-by-step explanation:

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