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3 years ago

Lines m and n are parallel, as shown in the diagram below. What are the measures of angles A and B?

Mathematics

2 answers:

Dvinal [7]3 years ago

7 0

Answer:

a = 55° and b = 60°

Step-by-step explanation:

→ Remember 2 key points about angles

Angles in a triangle add up to 180°

Alternate angles are equal

→ Angle a is alternate to 55° so using the 2nd point,

a = 55°

→ Remember the fact that angle in a triangle add up to 180°

55° + 65° + b = 180°

→ Collect the whole numbers

120° + b = 180°

→ Minus 120° from both sides to isolate b

b = 60°

baherus [9]3 years ago

3 0

Step-by-step explanation:

since m and n are parallel so the right side of b are equal 65degree. 180-55-65 to get B is 60 degree. After that, 180-60-65 will get the A is 55degree

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kramer

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Step-by-step explanation:

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4 years ago

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dusya [7]

Answer:

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Step-by-step explanation:

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2 years ago

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lilavasa [31]

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Step-by-step explanation:

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3 years ago

There are 4 routes from Danbury to Hartford and 6 routes from Hartford to Springfield. You need to drive from Danbury to Springf

Ilia_Sergeevich [38]

Answer:

a. P) = 0.25

b. P) = 0.25

c. P) = 0.5

Step-by-step explanation:

a) 1/4 as 1/2 x 1/2 = 1/4 = 0.25 This becomes reduced as we are multiplying one complete probability journey by another complete probability journey.

b) see above as 1/2 x 1/4 and 1/4 x 1/2 = 2.5 = 1/4 = 0.25

or we can Set to 1 and 1 - 3/4 = 1/4. = 0.25.

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3 years ago

Find the length of the altitude to the hypotenuse under the given conditions. Give the answer in simplest radical form.

jonny [76]

Answer:

AD = 2√10

Step-by-step explanation:

We're looking for the length AD.

To start, let's break off two smaller triangles from this large one: ΔBDA andΔADC. These triangles are similar: that is, all their interior angles are the equal. Since they're similar, the corresponding sides of these triangles will be in proportion to each other. That is to say, the ratio between corresponding sides will be equal. AD on the larger triangle corresponds to BD on the smaller one, and DC on the larger triangle corresponds to DA on the smaller one. Using this information, we can set up the ratio

$\dfrac{AD}{BD} =\dfrac{DC}{DA}$

AD and DA describe the same line segment, so we can replace DA with AD, and substituting BD = 5 and DC = 8 makes the equation

$\dfrac{AD}{5} =\dfrac{8}{AD}$

Cross multiplying gives us $(AD)^2=40$ , and taking the square root gives us our value for AD:

$\sqrt{(AD)^2}=\sqrt{40}\\AD=\sqrt{4\cdot10}=\sqrt{4}\sqrt{10}=2\sqrt{10}$

So our solution is AD = 2√10

6 0

4 years ago