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Rainbow [258]
1 year ago
14

Suppose V is the midpoint of UW, and TV = XV. What additional information would you need to conclude that TUV = XWV using the SA

S Congruence Theorem?

Mathematics
1 answer:
ladessa [460]1 year ago
7 0

The SAS theorem states that if two sides and the included angle from a triangle are equal to two sides ans the included anfle from another triangle they are congruent.

The information that you would need to cloclude the congruency is that sides UV and VW are equal, and that the included angles are the sam on both triangles.

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Select ALL the correct answers.
shepuryov [24]

When a quadrilateral is inscribed in a circle, the opposite angles are supplementary

The description of the angles in the quadrilaterals are:

  • b. m∠M = 55°, m∠J = 48°, and m∠L = 132°
  • d. m∠L = 40°, m∠M = 60°, and m∠K = 120°
  • e. m∠K = 72°, m∠L = 44°, and m∠M = 108°
  • f. m∠J = 105°, m∠K = 65°, and m∠L = 75°

<h3>How to describe the angles</h3>

The quadrilateral is given as: JKLM

The opposite angles are:

  • Angles J and L
  • Angles K and M

The opposite angles are supplementary

So, we have:

J + L = 180

K + M = 180

Next, we test the options

<u>Option (a)</u>

J + L = 180

125 + 35 = 160

This is not true

<u>Option (b)</u>

J + L = 180

48 + 132 =180

This is true

<u>Option (c)</u>

K + M = 180

12 + 78 = 180

This is not true

<u>Option (d)</u>

K + M = 180

120 + 60 = 180

This is true

<u>Option (e)</u>

K + M = 180

72 + 108= 180

This is true

<u>Option (f)</u>

J + L = 180

105 + 75 = 180

This true

Hence, the description of the angles in the quadrilaterals are (b), (d), (e) and (f)

Read more about inscribed quadrilaterals at:

brainly.com/question/26690979

6 0
2 years ago
the perimeter of a rectangle is at most 66 inches. the length is 2x + 6 inches and the width is x - 3 inches. write and solve an
Cloud [144]

Answer:

Step-by-step explanation:

<em>2( 2x + 6 ) + 2( x - 3 ) ≤ 66</em>

3x - 3 ≤ 33

x ≤ 10

x ∈ ( - ∞ , 10]

3 0
3 years ago
Read 2 more answers
F(x)=-3/5x+k and if f(30)=-11 what is the value of k
Kruka [31]

Answer:

k=20.

Explanation: First we find where f(x) has its local extrema: f'(x)=3x2−10x+3. The critical points are roots of the equation: 3x2−10x+3=0.

6 0
3 years ago
Convert these decimal into a fraction 0.457, 0.797, 0.815, and 0.242
kogti [31]
.457/100 .797/100 .815/100 .242/100
3 0
3 years ago
Read 2 more answers
3. Taylor has a $30.00 gift card that she can
Andrew [12]
7 journals is the answer
4 0
3 years ago
Read 2 more answers
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