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fenix001 [56]
4 years ago
5

The interior angles formed by the sides of a pentagon have measures that sum to 540°. What is the measure of angle B?

Mathematics
2 answers:
Anvisha [2.4K]4 years ago
5 0

Answer:

111°

Step-by-step explanation:

I took the assignment.

patriot [66]4 years ago
4 0

Answer:

m∠B = 110°

Step-by-step explanation:

We know that,

The sum of the measures of the angles in a pentagon is 540°.

So, we get,

130 + (x-5) + (x+30) + 75 + (x-35) = 540

i.e. 3x + (130+30+75) - (5+35) = 540

i.e. 3x + 235 - 40 = 540

i.e. 3x + 195 = 540

i.e. 3x = 540 - 195

i.e. 3x = 345

i.e. x= 115°

Now, as m∠B = (x-5)° = (115-5)° = 110°

Hence, the measure of angle B is 110°.

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The longest human power sporting event is the tour de France cycling race in a particular year the average speed for the winner
Andrei [34K]

Answer:

The winner completed the race in 96 hours and 52 minutes.

Step-by-step explanation:

Given:

Distance of the cycling race = 2292 miles

Average speed of the winner = 23.66\  mph

We need to find time required by winner to complete the race.

Solution:

Now we know that;

Time required can be calculated by dividing Total Distance from the Average speed.

framing in equation form we get;

time required by winner to complete the race = \frac{2292}{23.66} = 96.87\ hrs

Now converting 0.87\ hrs into minutes we get;

0.87\times 60= 52.2\approx 52\ mins

Hence the winner completed the race in 96 hours and 52 minutes.

3 0
3 years ago
N
Sladkaya [172]

Answer:

∠b + ∠c + ∠e = 120°

Step-by-step explanation:

From the attached figure,

∠b + ∠e + ∠a = 180° (Linear pair)

Given that, ∠a = 90°

∠b + ∠e = 90° ...(1)

Also,

∠c + ∠d = 180° (Linear pair)

Given that,

∠d = 150°

∠c = 180°-150°

= 30°

Adding ∠c to both sides of the equation (1).

∠b + ∠e + ∠c= 90° + ∠c

∠b + ∠c + ∠e = 90° + 30°

= 120°

Hence, the meaure of ∠b + ∠c + ∠e is equal to 120°

5 0
3 years ago
Trigonometry please please please please help
ANEK [815]

Answer:

104

Step-by-step explanation:

you have to add both numbers up

6 0
3 years ago
Distance between riverside and milton if they are 12 cm apart on a map with a scale of 4cm : 21 (?
solniwko [45]
You dont have anything that we can answer to.
7 0
4 years ago
The perimeter of a rhombus is 84 inches. What is the length of each side of the rhombus? Explain
dmitriy555 [2]

Answer:

Each side of the rhombus is 21 inches

Step-by-step explanation:

A rhombus has 4 equal sides: So all sides are the same

So you take the total perimeter and divide it by 4

84/4=21

4 0
4 years ago
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