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Natasha_Volkova [10]
3 years ago
14

sosceles triangle ABC has a perimeter of 96 centimeters. The base of the triangle is and measures 24 centimeters. What is the me

asure of ?
Mathematics
1 answer:
pogonyaev3 years ago
6 0
The measure of ? is 36, because if the perimeter of the triangle is 96 and there are 3 sides subtract the base length of 24 from 96 getting you 72 and divide 72 by 2 getting you 36 because there are 2 other sides that are the same length.
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Which of the following is the statement below describing? If a point is on the perpendicular bisector of a segment, then it is e
Bezzdna [24]

Answer:

(C) Perpendicular bisector theorem

Step-by-step explanation:

(A) Right angle theorem : The right angle theorem states that if two angles are supplementary and congruent, then these two angles are right angles.

(B) Converse of perpendicular bisector theorem: The converse of  perpendicular bisector theorem states that If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of that segment.

(C) Perpendicular Bisector Theorem: The Perpendicular Bisector Theorem states that  If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

(D) Pythagorean theorem: The Pythagorean theorem states that in the right angled triangle, the square of the hypotenuse of the triangle is equal to the sum of the squares of the other two sides that is:

(Hypotenuse)^2=(Base)^2+(Perpendicular)^2

Since, the given statement is the statement of the Perpendicular bisector theorem, thus  option C is correct.

3 0
3 years ago
Read 2 more answers
Jennifer had 7/8 foot board she cut off 1/4 foot peice that was for a project.in feet how much board was left?
guapka [62]

\frac{5}{8} \text{ feet board is left }

<em><u>Solution:</u></em>

Given that, Jennifer had 7/8 foot board she cut off 1/4 foot peice that was for a project

To find: Board that was left

From given,

\text{Total length of board } =\frac{7}{8} \text{ feet }

\text{Foot that was cut off } = \frac{1}{4} \text{ feet }

Remaining feet of board is found by finding the difference between total length of board and foot that was cut off

\text{Reamining board } = \text{Total length of board - feet of board that was cut off}\\

Substituting the values we get,

\text{Remaining board } = \frac{7}{8} - \frac{1}{4}\\\\\text{Remaining board } =\frac{7}{8} - \frac{1 \times 2}{4 \times 2}\\\\\text{Remaining board } =\frac{7}{8} -\frac{2}{8} = \frac{7-2}{8}\\\\\text{Remaining board } =\frac{5}{8}

Thus \frac{5}{8} feet board is left

5 0
3 years ago
What are the solutions to the equation x2−12x+100=0?
marysya [2.9K]

Answer:

x=6+8i

x=6-8i

Step-by-step explanation:

x^2-12x+100=0

solve by quadratic formula.

\frac{-b+-\sqrt{b^2-4(a*c)} }{2*a}

\frac{12+\sqrt{(-12)^2-4*(1*100)} }{2*1}

\frac{12-\sqrt{(-12)^2-4*(1*100)} }{2*1}

which is

x=\frac{12+16i}{2}

x=\frac{12-16i}{2}

Simplify.

x=6+8i

x=6-8i

Solved.


Hope this helps.

8 0
2 years ago
Use the rules of equations and inverse operations to solve the equation. In your final answer, include all of your work.
Sphinxa [80]

Answer:

x= +2\sqrt{5} or -2\sqrt{5}

Step-by-step explanation:

for the given equation,

4 - x^{2} = -16

using rules of equation and inverse operations as isolating x on one side of equation,

interchanging sides  of equation  we get,

x^{2} =20

x= +\sqrt{20} or x= -\sqrt{20}

x= +2\sqrt{5}  or x= -2\sqrt{5}

4 0
4 years ago
Which is equal to x^3-8
Aloiza [94]

Answer:

(x-2)(x^2+2x+4)

Step-by-step explanation:

x^3-8

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(x-y) (x+xy+y^2), y is equal to -2 in this instance.

(x-2)(x+2x+4)

4 0
3 years ago
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