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Murrr4er [49]
3 years ago
14

Given: m∠A + m∠B = m∠B + m∠C

Mathematics
2 answers:
Kamila [148]3 years ago
5 0

Answer:

We are given that the sum of the measures of angles A and B is equal to the sum of the measures of angles B and C. The measure of angle B is equal to itself by the reflexive property, so you can subtract that measure from both sides of the equation. Now the measure of angle A equals the measure of angle C. By the symmetric property, this means the measure of angle C equals the measure of angle A.

Step-by-step explanation:

edge2020, Be sure to boost the rating so that more people will see it!

Evgesh-ka [11]3 years ago
4 0

Answer:

Sample Response: We are given that the sum of the measures of angles A and B is equal to the sum of the measures of angles B and C. The measure of angle B is equal to itself by the reflexive property, so you can subtract that measure from both sides of the equation. Now the measure of angle A equals the measure of angle C. By the symmetric property, this means the measure of angle C equals the measure of angle A.

Step-by-step explanation:

Edge 2020

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What is the slope of the line that passes through these points?
Natasha2012 [34]

Answer:

The slope is 6.

Step-by-step explanation:

For this, you will want to use the slope formula.

m = y2 - y1 / x2 - x1

m = 14 - 2 / 19 - 17

m = 12 / 2

m = 6

7 0
3 years ago
A jar contains 4 red marbles numbered 1 to 4 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Fin
ira [324]

we are given

A jar contains 4 red marbles numbered 1 to 4 and 10 blue marbles numbered 1 to 10

so, total number of marbles =10+4=14

the number of  marble that  is red or odd number=2

so, the probability of the marble is red or odd number is

=\frac{2}{14}

the probability the marble is blue or even numbered

= 1- P( the marble is red or odd number)

so, we get

the probability the marble is blue or even numbered  is

=1-\frac{2}{14}

=\frac{12}{14}

=\frac{6}{7}...............Answer


4 0
3 years ago
Read 2 more answers
Graph the following.
erastova [34]

Answer:

the first coordinate is (-6,0) and the second is (0,-8).

Step-by-step explanation:

6 0
3 years ago
PLEASE HELP ME ON THIS!
OleMash [197]

9514 1404 393

Answer:

  38.5 square meters

Step-by-step explanation:

The relevant volume formula is ...

  V = Bh . . . . where B is the area of the base, and h is the height

Solving for B, we get ...

  B = V/h

  B = (308 m³)/(8 m) = 38.5 m²

The area of the prism's base is 38.5 square meters.

3 0
3 years ago
11. Kamala borrowed 26400 from a bank to buy a scooter at a rate of 15% per annum compounded yearly. What amount will she pay at
oee [108]
<h2>Answer </h2>

Amount (A) = P[1 + (r/100)]n

Principal (P) = ₹ 26400

Time period (n) = 2 years 4 months

Rate % (R) = 15% compounded annually

<h3>Steps </h3>

First, we will calculate Compound Interest (C.I) for the period of 2 years

A = P[1 + (r/100)]n

= 26400[1 + (15/100)]²

= 26400[(100/100) + (15/100)]²

= 26400 × 115/100 × 115/100

= 26400 × 23/20 × 23/20

= 26400 × 1.3225

= 34914

C.I. = A - P

= 34914 - 26400

= 8514

Now, we will find Simple Interest (S.I) for the period of 4 months

Principal for 4 months after C.I. for 2 years = ₹ 34,914

<h3>We know that ,</h3>

S.I = PRT/100

Here T = 4 months = 4/12 years = 1/3 years

S.I. for 4 months = (1/3) × 34914 × (15/100)

= (1/3) × 34914 × (3/20)

= 34914/20

= 1745.70

Total interest for 2 years 4 months = 8514 + 1745.70

= 10259.70

Total amount for 2 years 4 months = 26400 + 10259.70

= ₹ 36659.70

<h3>So , the correct answer is ₹ 36659.70 . </h3>

6 0
3 years ago
Read 2 more answers
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