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olasank [31]
3 years ago
6

The perimeter of a rectangular room is 60 feet. Let x be the width of the room (in feet) and let y be the length of the room (in

feet). Select all of the equations below that could model this situation.
2(x+y)=60
2x+2y=60
x+2y=60
2x+y=60
x+y=60
Mathematics
1 answer:
8090 [49]3 years ago
7 0
8187+88282

Explaination: wjwnbenehehw
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Two sides of an isosceles triangle are 4 and 8. Which of the following choices could be the measure of the third side?
Feliz [49]

Answer:

8 is answer. isoceles triangles must have two equal sides, where the smaller makes the base and the two larger are the legs.

Step-by-step explanation:

4 0
2 years ago
Which equation would help find the measure of
Juliette [100K]

Answer:

x + 52 + 78 = 180

Step-by-step explanation:

By angle sum property of a triangle:

x + 52 + 78 = 180

5 0
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The length of the sides of a triangle is given. Determine
aalyn [17]

Answer:

the triangle is right

Step-by-step explanation:

The Pythagorean theorem dictates that a^2 +b^2=c^2

6^2+8^2=10^2

36+64=100

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6 0
2 years ago
Solve the equation for all values of x by completing the square.<br> x^2 + 4x = 32
Black_prince [1.1K]

Answer:

x^2+4x-32=0

(mid-term breaking---4 x 8=32)

x^2+8x-4x-32=0

x(x+8)-4(x+8)

x+8=0 or x-4=0

So x=+4 or x=-8

Step-by-step explanation:

7 0
2 years ago
Find the measures of the numbered angles in the isosceles trapezoid.<br> I need help ASP
Novay_Z [31]

Answer:

  ∠1 = 50°

  ∠2 = ∠3 = 130°

Step-by-step explanation:

In an isosceles trapezoid, such as this one, the angles at either end of a base are congruent:

  ∠1 ≅ 50°

  ∠2 ≅ ∠3

The theorems applicable to transversals and parallel lines also apply to the sides joining the parallel bases. In particular, "consecutive interior angles are supplementary." That is, angles 1 and 2 are supplementary, for example.

  ∠2 = 180° -∠1 = 180° -50° = 130°

We already know angle 3 is congruent to this.

  ∠1 = 50°

  ∠2 = ∠3 = 130°

_____

<em>Additional comment</em>

It can be easier to see the congruence of the base angles if you remove the length of the shorter base from both bases. This collapses the figure to an isosceles triangle and makes it obvious that the base angles are congruent.

Alternatively, you can drop an altitude to the longer base from each end of the shorter base. That will create two congruent right triangles at either end of the figure. Those will have congruent corresponding angles.

5 0
2 years ago
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