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3 years ago

Could someone pls explain

Mathematics

2 answers:

olga_2 [115]3 years ago

3 0

Answer:

The answer is C

Step-by-step explanation:

Gelneren [198K]3 years ago

3 0

Answer:

See below.

Step-by-step explanation:<

< DAC and < BCA are alternate angles. So as they are congruent the 2 sides AD and BC are parallel.

Similarly as < BAC and DCA are congruent the sides AB and DC are parallel, so ABCD is a parallelogram.

Therefore as its opposite sides are congruent and AC is common to both triangles, triangle s ABC and CDA are congruent by SSS.

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What is 12.05/12 correct to 2 decimal place

vredina [299]

To the hundredth place, or second decimal this would be 1.004_
So this will become 1.0

6 0

3 years ago

Read 2 more answers

(a) How many integers in the range 1 through 120 are integer multiples of 2, 3, or 5? keyboard_arrow_down Solution (b) How many

Umnica [9.8K]

Answer:

(a) 88 integers

(b) 92 integers

Step-by-step explanation:

(a) integers whose last digits are divisible by 2 are multiples of two or numbers whose digits ends with zero. So for number 1-120 , all the even numbers which are sixty in number are are multiples of two.

For 3, numbers whose digits sum is divisible by three are multiples of three. 3,6,9,12,15,18,21,24,27,30 are multiples of three from numbers 1-30. we have four 30s in 120. which means numbers of integers will be 10*4 = 40integers. However out of these numbers , half are also integers of 2 which reduces the number added to 20integers.

For 5, numbers whose digits ends with 5 or 0 are multiples of 5. this gives us 24 integers for 1-120. but out of these 24integers, 16 are common integers of 2 and 3 which reduces the number added to 8integers.

Thus from 1-120 the intergers of 2,3 or 5 = 60+20+8 = 88integers.

(b) if we are considering from numbers 1-140;

for 2 we wil have 70 integers,

for 5 we will have 28 integers, but those integers that end with 0 are also integers of 2 which reduces the number added to 14.

For 7, numbers 7,14,21,28,35,42,49,56,63,70 are multiples of three from 1-70. This pattern is repeated from number 71-140. hence we have 20 integers in all. However 12 of the multiples are also multiples of either 2 or 5 which reduces the number to 8 integers.

Thus from 1-140, the integers of 2, 5, or 7 = 70+14+8 = 92integers

3 0

3 years ago

How to do: -8(1-a)=-7-(1-3a)

Fiesta28 [93]

In this question, you're solving for a.

Solve for a:

-8(1 - a) =-7 -(1 - 3a)

use the distributive property

-8 + 8a = -7 -(1 - 3a)

-8 + 8a = -7 - 1 + 3a

combine like terms

-8 + 8a = -8 + 3a

subtract 3a from both sides

-8 + 5a = -8

add 8 to both sides

5a = 0

divide both sides by 5

a = 0

7 0

2 years ago

Determine the slope of the line given the graph 3,-3 and 0,2

BigorU [14]

Answer:

$\displaystyle m = \frac{-5}{3}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinate Planes

Reading a coordinate plane
Coordinates (x, y)

Slope Formula: $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

Step-by-step explanation:

Step 1: Define

Identify points

Point (0, 2)

Point (3, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m = \frac{2 + 3}{0 - 3}$
Simplify: $\displaystyle m = \frac{-5}{3}$

7 0

3 years ago

Reduce to simplest form. -7/12 + 3/8 (They are fractions)

denpristay [2]

Answer:

-5/24

Step-by-step explanation:

You first change -7/12 to -14/24, and 3/8 to 9/24 so they have the same denominator. You then do -14/24 + 9/24. That will be the same as the opposite of the answer to 14/24 - 9/24.

14/24 - 9/24 = 5/24

-5/24

4 0

3 years ago