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2 years ago

In triangle ABC, M< A = 90° And M< C = 22° what is the measure of angle B

Mathematics

1 answer:

dedylja [7]2 years ago

6 0

Answer:

The answer for ∠B = 68°

Step-by-step explanation:

Total angle in a triangle is 180° so you can just substract ∠A and ∠C from 180° :

∠A + ∠B + ∠C = 180°

90° + ∠B + 22° = 180°

∠B = 180° - 90° - 22°

= 68°

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A jar contains 8 red marbles, 10 blue marbles, and 2 yellow marbles. One marble is chosen at random. The color is recorded in th

NeX [460]

Answer:

blue is more likely to be chosen because there are more of them than the other colors

Step-by-step explanation:

6 0

3 years ago

Which classification describes AMNO with vertices M(2, -3), N(3, 1), and<br> 0(-3, 1)?

Sonja [21]

Answer:

Option D

Step-by-step explanation:

32). Given vertices of the triangle are M(2, -3), N(3, 1) and O(-3. 1).

Distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the expression,

Distance = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between M(2, -3) and N(3, 1) will be,

MN = $\sqrt{(3-2)^2+(1+3)^2}$

= $\sqrt{1+16}$

= $\sqrt{17}$

Distance between M(2, -3) and O(-3, 1),

MO = $\sqrt{(2+3)^2+(-3-1)^2}$

= $\sqrt{25+16}$

= $\sqrt{41}$

Distance between N(3, 1) and O(-3, 1),

NO = $\sqrt{(3+3)^2+(1-1)^2}$

= 6

Condition for right triangle,

c² = a² + b² [Here c is the longest side of the triangle]

By this property,

MO² = MN² + NO²

$(\sqrt{41})^2=(\sqrt{17})^2+6^2$

41 = 17 + 36

41 = 51

False.

Therefore, given triangle is not a right triangle.

Since, length of all sides are not equal, given triangle will be a scalene triangle.

Option D is the correct option.

5 0

3 years ago

10 times as many as _ hundreds is 60 hundreds or _ thousands

vovangra [49]

60 hundreds = 60 * 100 = 6,000 ( six thousands )
10 * 600 = 6,000 ( 10 times as many as 600 is 6,000 - six thousands )
Answer:
10 times as many as 6 hundreds is 60 hundreds or 6 thousands.

6 0

3 years ago

Read 2 more answers

A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32 centimeters, and the le

nataly862011 [7]

Answer:

Step-by-step explanation:

You need the Pythagorean Theorem to solve this question. There is no be part.

Equation

c^2 = a^2 + b^2

Givens

a = 32

b = 21

c = ?

Solution

c^2 = a^2 + b^2 Substitute the values

c^2 = 32^2 + 21^2 Expand

c^2 = 1024 + 441 Combine

c^2 = 1465 Take the square root of both sides

√c^2 = √1465

c = 38.275

Answer: 38.3 rounded

6 0

1 year ago

Solve for x. Show all your work

olasank [31]

42°

Step-by-step explanation:

$\angle BAE =180\degree -132\degree$

(Angles in linear pair)

$\angle BAE =48\degree$

$\angle AEB =90\degree..(\because \overrightarrow{EC}\perp\overrightarrow{ED})$

$\angle ABE = 180\degree-(48\degree+90\degree)$

(Angle sum postulate of a triangle)

$\implies\angle ABE = 180\degree-138\degree$

$\implies\angle ABE = 42\degree$

$\angle CDE =\angle ABE = 42\degree$

(corresponding angles)

$\implies x\degree=\angle CDE$

(vertical angles)

$\implies x\degree=42\degree$

$\implies x=42$

3 0

2 years ago