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4 years ago

Explain how you can use SSS, SAS, ASA, or AAS with the definition of congruent triangles to prove that

Mathematics

1 answer:

Dmitriy789 [7]4 years ago

3 0

You can use SAS since you know one pair of sides are congruent and AC splits them so those must make those sides equal. And since those sides, DC and BC, are congruent, the angles must be as well. You can use numbers to prove the angles of D and B or just use that when 2 sides and an angle are congruent, the 3rd side must be congruent.

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∠A and ∠B are vertical angles. If m ∠A=(2x+26)∘ and ∠B=(3x−29)∘, then find the measure of ∠A.

Leya [2.2K]

The measure of angle (m ∠A) is 136°

<h3>Vertical angles theorem</h3>

From the question, we are to find the measure of angle A

From the given information, we have that

∠A and ∠B are vertical angles

Thus

∠A = ∠B

and

Also, from the given information,

m ∠A=(2x+26)°

and

m ∠B= (3x−29)°

∴ (2x+26)° = (3x−29)°

Now, solve for x

2x + 26 = 3x - 29

26 + 29 = 3x - 2x

55 = x

∴ x = 55

But measure of angle A is given by

m ∠A=(2x+26)°

Put the value of x into the equation,

m ∠A=(2(55)+26)°

m ∠A=(110+26)°

m ∠A = 136°

Hence, the measure of angle (m ∠A) is 136°

Learn more on Vertical angle theorem here: brainly.com/question/24839702

#SPJ1

6 0

2 years ago

Random question anybody answer i give brainliest

disa [49]

What's your favorite food or drink?

6 0

3 years ago

Read 2 more answers

Please help and show working (please)

Alexxandr [17]

In mathematical notation, ∑ means summation. So wherever you see the symbol, you have to sum over all elements in the set. Let's solve the question.

a. ∑m means, to sum all elements in the set m: ∑m = 12 + 15 + 20 + 30 = 77

b. ∑ $f^{2}$ means to sum all elements in the set f as the square of the elements f = $5^{2} + 9^{2} + 10^{2} + 16^{2} = 25 + 81 + 100 + 256 = 462$

c. ∑mf means to sum all elements as the product of the elements of m and f = (12×5) + (15×9) + (20 $(12^{2}(5)) + (15^{2}(9)) + (20^{2}(10)) + (30^{2}(16)) = 21145$ 10) + (30×16) = 875

d. ∑ $m^{2}f$ means to sum all elements as the product of the square of m and f = $((12*12)(5)) + ((15*15)(9)) + ((20*20)(10)) + ((30*30)(16)) = 21145$

4 0

3 years ago

Which is greater 1/10 or .09 why?

lesantik [10]

Answer:

1/10

Step-by-step explanation:

Decimal Form:

0.09

0.1

Fraction Form:

9/100

1/10

Percentage Form:

10%

Hope that helps :-)

6 0

3 years ago

Read 2 more answers

What is the factored form of n2 – 25? (n – 25)(n – 1) (n – 5)(n + 5) (n + 5)(n + 5) (n – 25)(n + 1)

dexar [7]

Hi there!
We are asked to find the correct factored form of n² - 25. Immediately, we can see that 25 has a perfect square root, 5. Now, we can rewrite the expression into n² - 5². Finally, using the difference of squares rule, we can derive the equation (n + 5)(n - 5). Therefore, the answer is (n + 5)(n - 5). Hope this helped!

5 0

4 years ago