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Troyanec [42]
2 years ago
3

Answer please with proofs and statements

Mathematics
1 answer:
Romashka [77]2 years ago
4 0

Proved that ΔABC ≅ ΔDEC

SAS rule of congruent states that if two sides and one angle of the triangle is equal to the two sides and one angle of the another triangle, then the both triangles are congruent

The line BE and AD intersect at point C

The measure of the angle BCA = The measure of the angle ECD

The length of the side BC = The length of the side EC

The length of the side AC = The length of the side DC

Consider the triangle ABC and triangle DEC

Two sides and one angle of the triangle ABC is equal to the two sides and one angle of the triangle DEC, according to SAS rule of congruent the triangle ABC and triangle DEC are congruent

Hence, proved that ΔABC ≅ ΔDEC

Learn more about congruent here

brainly.com/question/22062407

#SPJ1

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Which is a solution to the equation |10-5y| = 20?
ioda

Answer:

{-2, 6}

Step-by-step explanation:

10-5y=20

-5y=10

y=-2

10-5y=-20

-5y=-30

y=6

6 0
3 years ago
At a large high school 40 percent of the students walk to school, 32 percent of the students have been late to school at least o
ycow [4]

Answer:

  15%

Step-by-step explanation:

37.5% of the 40% of students who walk have been late, so ...

  0.375 · 0.40 = 0.1500 = 15%

of the students in the school both walk and have been late.

The probability that the student selected walks and has been late is 15%.

7 0
3 years ago
What would the area of the cross section be that goes through the center below?
Sav [38]

Answer: 201.06 cm^2

Step-by-step explanation: We're just solving for the area of a circle. A = pi•r^2. The diameter is 16 which is 2r so r = 8. 8^2 • pi = 64pi = 201.06 (rounded to 2 decimals)

7 0
3 years ago
Solve for x. <br><br> Brainlest for anyone who helps!! <br><br> thanks you
gavmur [86]
<h3>Answer:  C) 0</h3>

================================================

Explanation:

If points F and E are the midpoints of segment VU and segment ST respectively, then segment FE is the midsegment of the trapezoid. The midsegment is parallel to the bases, and the midsegment's length is found by adding up the bases VS and UT, then dividing by 2.

(VS + UT)/2 = FE

(29 + x+17)/2 = 23 ... plug in given info; isolate x

(x+46)/2 = 23

x+46 = 23*2 ... multiply both sides by 2

x+46 = 46

x = 46-46 ... subtract 46 from both sides

<h3>x = 0</h3>
6 0
3 years ago
A third of a number minus 8 is 17 What is the number
katrin [286]

Answer:

<h2>The number is 75</h2>

Step-by-step explanation:

Let the number be x

A third of a number is written as

\frac{1}{3} x

A third of a number minus 8 is written as

\frac{1}{3} x - 8

The result is 17

We have

\frac{1}{3} x - 8 = 17

<u>Add 8 to both sides of the equation</u>

That's

\frac{1}{3} x + 8 - 8 = 17 + 8 \\  \frac{1}{3} x = 25

<u>Multiply through by 3 to eliminate the fraction</u>

That's

3 \times  \frac{1}{3} x = 25 \times 3 \\ x = 2 5 \times 3 \\ x = 75

<h3>The number is 75</h3>

Hope this helps you

5 0
4 years ago
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