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3 years ago

ABCD is a quadrilateral. AB=CD Angle ABC = angle BCD Prove that AC = BD

Mathematics

1 answer:

maks197457 [2]3 years ago

5 0

Answer:

compare the triangles ΔABC and ΔBCD

∡ABC = ∡BCD (given)

AB = CD (given)

BC = BC (common) } = > (SAS) ΔABC ≡ ΔBCD = > AC = BD

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If I have line segmants with the measurements 3in, 5 in and 8 in; can I make a triangle?

Dimas [21]

Answer:

Equilateral Triangle

Side a = 1

Side b = 1

Side c = 1

Angle ∠A = 60° = 1.0472 rad = π/3

Angle ∠B = 60° = 1.0472 rad = π/3

Angle ∠C = 60° = 1.0472 rad = π/3

C=60°B=60°A=60°b=1a=1c=1

Area = 0.43301

Perimeter p = 3

Semiperimeter s = 1.5

Height ha = 0.86603

Height hb = 0.86603

Height hc = 0.86603

Median ma = 0.86603

Median mb = 0.86603

Median mc = 0.86603

Inradius r = 0.28868

Circumradius R = 0.57735

Vertex coordinates: A[0, 0] B[1, 0] C[0.5, 0.86603]

Centroid: [0.5, 0.28868]

Inscribed Circle Center: [0.5, 0.28868]

Circumscribed Circle Center: [0.5, 0.28868]

Step-by-step explanation:

6 0

2 years ago

Which of the following options have the same value as 30\%30%30, percent of 818181?

Nataly_w [17]

Answer:

Option B is correct = $0.3 \times 81$

Step-by-step explanation:

The complete question is: Which of the following options have the same value as 30% of 81?

Group of choices is:

(A) $\frac{30}{100}\times 81 \times 100$

(B) $0.3 \times 81$

(D) $\frac{3}{10}\times 81 \times 10$

(E) $30 \times 81$

Now, the expression given to us is 30% of 81.

Simplifying the above expression we get;

30% of 81 = $\frac{30}{100} \times 81$

= $\frac{3}{10} \times 81$ = $0.3 \times 81$

Now, we will solve each of the given options and then see which option matches with our calculation.

Option (A) is given;

$\frac{30}{100}\times 81 \times 100$ = $30 \times 81$

This doesn't match with our answer, so this option is not correct.

Option (B) is given;

$0.3 \times 81$

This matches with our answer, so this option is correct.

Option (C) is given;

$0.03 \times 81$

This doesn't match with our answer, so this option is not correct.

Option (D) is given;

$\frac{3}{10}\times 81 \times 10$ = $3 \times 81$

This doesn't match with our answer, so this option is not correct.

Option (E) is given;

$30 \times 81$

This doesn't match with our answer, so this option is not correct.

6 0

3 years ago

Find the value of x and m∠HKL.

frosja888 [35]

Answer:

x = 25 degrees ∠HKL = 102 degrees

Step-by-step explanation:

The whole thing equals 180, since it is a straight angle

The value of HKL is 180 - 78 = 102

So that means 4x + 2 = 102

Subtract 2 from both sides:

4x = 100

Divide both sides by 4:

x = 25

5 0

2 years ago

Email used a total of 7 1half

Gala2k [10]

13 - 5 5/6
= 12 6/6 - 5 5/6
= 7 1/6

hope it helps

7 0

3 years ago

Please help meee!!! 11 points

Ludmilka [50]

Answer: The third answer Y = 2X + 3

7 0

2 years ago