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2 years ago

Find m<1 A. 70° B. 65° C. 50° D. 40°

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

5 0

Question :- Find Angle 1 in diagram

Answer:- Exterior angle is equal to sum of two opposite interior Angle

so :- ATQ

$140 = \angle1 + 90 \\ 140 - 90 = \angle1 \\ 50° = \angle1 \: \: ans$

so your answer is option (C) 50°

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An exterior angle of a regular convex polygon is 40°. What is the number of sides of the polygon?

seraphim [82]

Answer:

option B

Step-by-step explanation:

Sum of interior angles of a polygon with n sides:

$= (n - 2 )\times 180$

$Therefore, Each \ interior \ angle = (\frac{n - 2}{n} )\times 180$

$Sum \ of \ one \ of \ the \ interior \ angle \ with \ its \ exterior \ angle \ is \ 180^\circ$

$[ \ because \ straight \ line \ angle = 180^\circ \ ]$

That is ,

$Exterior \ angle + Interior \ angle = 180^\circ\\\\40^ \circ + (\frac{n-2}{n}) \times 180 = 180^\circ\\\\40 n + 180n - 360 = 180n\\\\40n = 180n - 180n + 360 \\\\40n = 360 \\\\n = 9$

Sum of exterior angles of a regular polygon = 360

Given 1 exterior angle of the regular polygon is 40

Therefore ,

$n \times 40 = 360\\\\n = \frac{360}{40} \\\\n = 9$

8 0

2 years ago

Ms. Forte’s class is studying plants. 3 students want to share a packet of 14 seeds equally. What is each child’s share?

vekshin1

you have 78 as ur answerrr

3 0

2 years ago

Read 2 more answers

Trucks are delivering gravel to a construction site each truck hold 7.5 cubic yards of gravel. The weight of 1 cubic yard of gra

Romashka-Z-Leto [24]

The first thing you must do is to calculate the weight of the gravel (w) that the truck holds (7.5 yards³). So, you have:

If the weight of 1 yard³ is 1.48 tons, then the weight of 7.5 yards³ is:

w=7.5x1.48 tons
w=11.1 tons

The problem says that the gravel will be placed in containers that each hold 3.7 tons of gravel,so, If they need 1 cotainer to place 3.7 tons, how many containers they need to place 11.1 tons?

1 container-------3.7 tons of gravel
x-------11.1 tons of gravel

x=(11.1x1)/3.7
x=11.1/3.7
x=3 containers

H<span>ow many containers of this size are needed to hold all the gravel from one truck?
</span>
The answer is: 3 containers.

7 0

3 years ago

21x-5=7+17x <br> Write it down step by step please

Nat2105 [25]

Answer: x=3

Step-by-step explanation: Step 1: Simplify both sides of the equation.

21x−5=7+17x

21x+−5=7+17x

21x−5=17x+7

Step 2: Subtract 17x from both sides.

21x−5−17x=17x+7−17x

4x−5=7