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ycow [4]
2 years ago
14

Help plz

Mathematics
1 answer:
Ber [7]2 years ago
5 0

Answer:

Definition of bisector

Angle addition postulate

same side interior angles theorem

subtraction property of equality

Step-by-step explanation:

It is given that m║n, m∠1 = 65°,m∠2=60° and BD --> bisects ∠ABC . Because of triangle sum theorem, m∠3 = 55°. By the definition of bisector , ∠3 ≅∠4, so m∠4= 55°. Using the angle addition postulate , m∠ABC = 110°, m∠5 = 110° because vertical angles are congruent . Because of same side interior angles theorem, m∠5 +m∠6 = 180°. Substituting gives 110°+ m∠6 =180°, so by the subtraction property of equality , m∠6 = 70°.

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On a certain day, the temperature changed at a rate of 3°F per hour. How long did it take for the change in temperature to be -3
mamaluj [8]

Answer:

I think 11 hours.

Step-by-step explanation:

If I know starting temp such as 0 degrees then I can say that it would take 11 hours as 11*3 = 33. If it is 3 degrees, then it would 3*12 = 36 degrees.

7 0
2 years ago
Yumi wants to make 12 cups of party mix using candies and nuts her budget require the party mix to cost her $1 29 per cup. The c
kifflom [539]

Answer:

Acording to the question,

Cost per cup = $1.29

Total number of cups = 12

Total cost of cups = 12 x 1.2 = $15.48

Cost of candies = $2.49 per cup

Total number of candies = x

Cost of nuts = $0.69 per cup

Total number of nuts = y

Equations :

x + y = 12    (because total cups of nuts and candies will be equal to 12)

2.49x + 0.69y = 15.48    (Total cost of the 12 cups should be 15.48)  

<u>Step 1 : Find x in terms of y</u>

x = 12 - y

<u>Step 2 : substitute x in terms of y from step 1 in the second equation</u>

2.49x + 0.69y = 15.48

2.49 ( 12 - y) + 0.69y = 15.48

29.88 - 2.49y + 0.69y = 15.48

-1.8y = -14.4

y = 14.4/1.8

y = 8

Step 3 : Find x

x + y = 12

x = 12 - y

x = 12- 8

x = 4

Thus,Yumi should use 4 cups of candies and 8 cups of nuts.

5 0
2 years ago
Whole numbers greater than 10 but less than 20
hichkok12 [17]
11, 12, 13, 14, 15, 16, 17, 18, 19 Sorry if it doesn't help, I'm being too obvious
4 0
2 years ago
Read 2 more answers
The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is .
Readme [11.4K]

Answer:

(-21,-19)

\sqrt{849}

Standard form

Step-by-step explanation:

We are given the equation of circle

x^2+y^2+42x+38y-47=0

General equation of circle:

x^2+y^2+2gx+2fy+c=0

Centre: (-g,-f)

Radius: \sqrt{g^2+f^2-c}

Compare the equation to find f, g and c from the equation

g\rightarrow 21

f\rightarrow 19

c\rightarrow -47

Centre: (-21,-19)

Radius (r) =\sqrt{21^2+19^2+47}=\sqrt{849}

Standard form of circle:

(x+21)^2+(y+19)^2=849

The centre of circle at the point (-21,-19) and its radius is \sqrt{849}.

The general form of the equation of a circle that has the same radius as the above circle is standard form.

4 0
2 years ago
Read 2 more answers
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Lelu [443]
26% is the answer to your question
5 0
2 years ago
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