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2 years ago

Given the following diagram, find the missing measure.

Mathematics

1 answer:

madam [21]2 years ago

6 0

m3 = 110°

Step-by-step explanation:

m1 = 180° - m4 ( sum of angles in a straight angle )

m1 = 180° - 150° = 30°

m3 = 180° - (m2 + m1) ← sum of angles in a triangle

m3 = 180° - (40 + 30 )° = 180° - 70° = 110°

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The equation of a circle in general form is x2+y2+20x+12y+15=0 .

Harlamova29_29 [7]

Answer:

$(x +10)^2 + (y+6)^2 = 121$

Step-by-step explanation:

Given equation :

$x^2 + y^2 + 20x +12y + 15 = 0$

Standard equation of circle :

$(x - a)^2 + (y-b)^2 = r^2$

We will consider the x terms in the equation first to find a.

$(x-a)^2 = x^2 - 2ax + a^2$

-2ax = 20x

a = -20x/2x = -10

a = -10

Next consider the y terms to find b.

$(y - b)^2 = y^2 -2by + b^2$

-2by = 12y

b = -12y /2y = -6

b = -6

$(x+10)^2 + (y-6)^2 = x^2 +20x +100 + y^2 +12y + 36$

$=x^2 + y^2 + 20x +12y + 136\\$

But the given equation constant is 15. So find the difference between 136 and 15 to find the radius : 136 - 15 = 121

Therefore, radius = √121 = 11

<em><u>Equation in standard form : </u></em>

$(x +10)^2 + (y+6)^2 = 121$

5 0

3 years ago

Which one of these numbers is a composite number a.17 b.51 c.97 d.89

pantera1 [17]

Step-by-step explanation:

The correct answer here is 51

7 0

2 years ago

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At a student council meeting, there was a total of 65 students present. Of those students, 35 were female.

Komok [63]

Answer:

a = 50 b = 50

Step-by-step explanation:

a. 35/65=0.53 - rounded to the nearest tenth would equal to 50.

65-35=30

30/65 = .46

rounded to the nearest tenth equals to 50.

Hope this helps!

6 0

2 years ago

1. 3+(-8)=

kondor19780726 [428]

Answer:

1. -5

2.10

3.1

4.-10

5.18

6.10

7.4

8.-1

9.1

10.89

11.3

12.10

13.13

14.-2

15.-7

16.14

17.-8

18.-6

19.-8

20.-22

Step-by-step explanation:

4 0

3 years ago

HELP!

Ber [7]

Answer:

U think the answer is C.

5 0

3 years ago

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