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masha68 [24]
2 years ago
11

:

Mathematics
1 answer:
Nadusha1986 [10]2 years ago
6 0

All isosceles trapezoids have congruent base angles.

Option A

<u>Explanation:</u>

An isosceles trapezoid is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides.

Properties of isosceles trapezoid:

  • Opposite sides of an isosceles trapezoid are the same length (congruent).
  • The angles on either side of the bases are the same size/measure (congruent).
  • The bases (both top and bottom) of an isosceles trapezoid are parallel.

Note: Refer the attached file for the image of an isosceles trapezoid.

All isosceles trapezoids come into the category of trapezoids but all trapezoids cannot be marked as isosceles. Clearly, if a trapezoid has congruent legs, it is an isosceles trapezoid.

If a trapezoid has one pair of congruent base angles, then the trapezoid is isosceles. A trapezoid is isosceles if and only if its diagonals are congruent.

In the case of quadrilaterals, if the quadrilateral is an isosceles trapezoid, then each pair of base angles are congruent.

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tamaranim1 [39]

Answer:

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8 0
2 years ago
Find the value of x<br><br>urgent!! plz help me! will give the brainliest​
Anarel [89]

Answer:

x = 2

Step-by-step explanation:

\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2  only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0

→ Expand the brackets

\frac{1}{2} x- \frac{1}{2}-\frac{1}{6}x -\frac{1}{6} =0

→ Multiply everything by 12 to make solving the equation easier

6x - 6 - 2x - 2 = 0

→ Simplify equation

4x - 8 = 0

→ Add 8 to both sides to isolate 4x

4x = 8

→ Divide by 4 on both sides to isolate x

x = 2

⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct

\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0

⇒ Substitute in the values

\frac{1}{2} (2-1)-\frac{1}{6} (2+1) = 0

⇒ Simplify

\frac{1}{2} (1)-\frac{1}{6} (3) = 0

⇒ Simplify further

\frac{1}{2} -\frac{1}{2} =0

0 = 0

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4 0
3 years ago
The question is in the pic.
vodka [1.7K]

Answer:

$100

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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Mice21 [21]

Answer:

-6/5

Step-by-step explanation:

8 0
2 years ago
RS = 6y+2, ST=3y +7, and RT=13y-23 What is the value of y? y =________ Find STand RT. ST =_______ RT =_______
svlad2 [7]

Answer:

<h2><em> y = 8, ST = 31 and RT = 81</em></h2>

Step-by-step explanation:

Given RS = 6y+2, ST=3y +7, and RT=13y-23, the vector formula is true for the equations given; RS+ST = RT

Om substuting the expression into the formula;

6y+2+3y +7 = 13y - 23

collect the like terms

6y+3y-13y+2+7+23 = 0

-4y+32 = 0

Subtract 32 from both sides

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y = -32/-4

y = 8

Since ST = 3y+7. we will substitute y = 8 into the exprrssion to get ST

ST = 3(8)+7

ST = 24+7

ST = 31

Similarly,

RT = 13y-23

RT = 13(8)-23

RT = 104-23

RT = 81

<em>Hence y = 8, ST = 31 and RT = 81</em>

6 0
3 years ago
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