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fenix001 [56]
3 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]3 years ago
5 0

Answer:

111°

Step-by-step explanation:

I took the assignment.

patriot [66]3 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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Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC
jarptica [38.1K]

We are given

△ABC, m∠A=60° m∠C=45°, AB=8

Firstly, we will find all angles and sides

Calculation of angle B:

we know that sum of all angles is 180

m∠A+ m∠B+m∠C=180

we can plug values

60°+ m∠B+45°=180

m∠B=75°

Calculation of BC:

we can use law of sines

\frac{AB}{sin(C)}=\frac{BC}{sin(A)}

now, we can plug values

\frac{8}{sin(45)}=\frac{BC}{sin(60)}

BC=\frac{8}{sin(45)} \times sin(60)

BC=9.798

Calculation of AC:

\frac{AB}{sin(C)}=\frac{AC}{sin(B)}

now, we can plug values

\frac{8}{sin(45)}=\frac{AC}{sin(75)}

AC=\frac{8}{sin(45)} \times sin(75)

AC=10.928

Perimeter:

p=AB+BC+AC

we can plug values

p=10.928+8+9.798

p=28.726

Area:

we can use formula

A=\frac{1}{2}AB \times AC \times sin(A)

now, we can plug values

A=\frac{1}{2}8 \times 10.928 \times sin(60)

A=37.85570...............Answer

6 0
4 years ago
Read 2 more answers
I need help with these two questions please:) I need the answers fast ! Please and Thank You
Valentin [98]

Answer:

#1 is 9 times 10^15

#2 is 3 times 10^8

Step-by-step explanation:

4 0
3 years ago
Whoever answers first i will mark as brainiest
bija089 [108]

Answer:

B. 7 inches

Step-by-step explanation:

The surface area of a cube is denoted by: A = 6s², where s is the side length.

Here, we know that A = 294 in², so plug this into the equation to solve for s:

A = 6s²

294 = 6s²

s² = 49

s = √49 = 7

The answer is thus B, 7 inches.

7 0
3 years ago
Stefan's rectangular bedroom is 12 feet by 9 feet. What is the diagonal distance from one
Rainbow [258]

Answer:

505 ft

Step-by-step explanation:

pythagorean therom = a^{2} +b^{2}=c^{2}

a= 15

b=9

12^{2} +19^{2}=c^{2}

144+361=505

505 ft

5 0
3 years ago
Read 2 more answers
A. Draw the image of ΔDEF after a rotation of 90° clockwise about the point (1,0). Label the image ΔD’E’F’.
irina [24]

Answer:

  see the attachment

Step-by-step explanation:

(a) Clockwise rotation moves a point from (x, y) to (y, -x).

__

(b) Reflection across x=1 moves a point from (x, y) to (2-x, y).

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