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4 years ago

6

And isosceles triangle has two equal sides what is the measure of the third angle that will make triangle mno and isosceles tria

ngle? m=40, n=70

1 answer:

marta [7]4 years ago

3 0

70 because 70+70+40=180.

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En el triángulo rectángulo que se muestra, \angle A = 30^\circ∠A=30 ∘ angle, A, equals, 30, degrees y BC = 6BC=6B, C, equals, 6.

torisob [31]

Answer:

The measure of side AB is 6√3 cm.

Step-by-step explanation:

The question is:

In the right triangle shown, ∠A = 30° and BC = 6. What is AB?

Solution:

Consider the right-angled triangle ABC below.

In the triangle:

∠A = 30°

∠B = 90°

BC = 6 cm

According to the trigonometric identities for a right-angled triangle the tangent of an angle is the ratio of the length of perpendicular side to the length of the base.

That is for angle θ° the value of tan θ° is:

$tan\ \theta^{\text{o}}=\frac{Perpendicular}{Base}$

In the triangle ABC, the perpendicular side is side BC and the base is AB.

Compute the length of side AB as follows:

$tan\ 30^{\text{o}}=\frac{BC}{AB}$

The value of tan 30° is,

$tan\ 30^{\text{o}}=\frac{1}{\sqrt{3}}$

The value of side AB is:

$tan\ 30^{\text{o}}=\frac{BC}{AB}$

$\frac{1}{\sqrt{3}}=\frac{6}{AB}\\\\AB=6\times \sqrt{3}\\AB=6\sqrt{3}$

Thus, the measure of side AB is 6√3 cm.

4 0

3 years ago

What are two consecutive integers such that two times the first is 43 more than the second

Virty [35]

You can think of two consecutive integers as n and n+1, and hence create an equation:
$2n = (n + 1) + 43 = n + 44$
Rearranging the equation by subtracting n from both sides
$n = 44$
Hence, your two consecutive integers are n and n+1 i.e. 44 and 45
You can check this: 44•2 = 88 = 45+43

8 0

3 years ago

The ratio of runners to swimmers was 3:2. When 28 runners dropped out of the competition, the ratio became 5:6. How many total s

xz_007 [3.2K]

The total of 42 swimmers are competing

Step-by-step explanation:

The given is:

The ratio of runners to swimmers was 3 : 2
When 28 runners dropped out of the competition, the ratio became 5 : 6

We need to find how many total swimmers are competing

∵ The ratio of runners to swimmers was 3 : 2

- Multiply each term of the ratio by x

∴ There are 3x runners and 2x swimmers

∵ 28 runners dropped out of the competition

∴ The number of runners who complete = 3x - 28

∵ The ratio became 5 : 6

- Equate the ratio between the new number of runners and the

number of swimmers by 5 : 6

∵ The new number of runners = 3x - 28

∵ The number of swimmers = 2x

∴ $\frac{3x-28}{2x}=\frac{5}{6}$

- By using cross multiplication

∴ 6(3x - 28) = 5(2x)

- Simplify both sides

∴ 18x - 168 = 10x

- Add 168 to both sides

∴ 18x = 10x + 168

- Subtract 10x from both sides

∴ 8x = 168

- Divide both sides by 8

∴ x = 21

∵ The number of swimmers is 2x

∵ x = 21

∴ The number of swimmers = 2(21) = 42

The total of 42 swimmers are competing

Learn more:

You can learn more about the ratio in brainly.com/question/2707032

#LearnwithBrainly

7 0

3 years ago

What are the values of K and M? And please show all work on how you got your answer

ipn [44]

Answer:

k = 7

m = 8

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so the two halves of each diagonal are the same length. That means ...

m = 8

and

k +4 = 11

k = 7 . . . . . subtract 4 from both sides of the equation

4 0

3 years ago

What is the location of the point on the number line that is 3/7 of the way from A= -4 to B=17?

Margaret [11]

The point that is 3/7 of the way between -4 and 17 is 5

6 0

4 years ago

Read 2 more answers