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3 years ago

Help with Geometry homework please.?

Mathematics

1 answer:

jolli1 [7]3 years ago

5 0

Answer:

a. 60° it is opposite the other 60° angle

b. 120° it is supplementary with the 60° angle

c. 120° it is supplementary with the 60° angle

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The tens digit is twice the units digit. Reverse the digits, add 2 and the new number is 34 less than the original number. Find

inna [77]

Answer:

Step-by-step explanation: X and Y represent the digits.

The tens digit is twice the units digit.

The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.

10x +y 10y +x are Original & Reversed numbers

X = 2y means the Tens digits is twice the units digit.

10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.

Substitute 2y for x to solve for y

10y +2y +2= 10(2y) + y -34

Distribute and combine like terms

12y + 2 = 20y +y - 34

34 +2 = 21y -12y

36 = 9y Divide both sides to find the value of y.

4 = y

X = 2(4) Substitute 4 for y to find x

X = 8

Original number: 84 Reversed number: 48

Substitute into equation model

48 +2= 84 -34

50 = 50

True!

3 0

3 years ago

Griffin says the birds height above and the fish’s depth below sea level are opposites. Is this possible? Explain.

Umnica [9.8K]

It had to be possibly amazing

6 0

2 years ago

1. Rewrite 10^32 • 10^6 using a single exponent

OLga [1]

Answer:

1. 10^(38)

2. total amount = 10^11 or total amount = $100000000000

Step-by-step explanation:

For every time that we multiply powers with the same base we maintain the base and sum the powers. Therefore we have:

1. (10^32)*(10^6)

10^(32 + 6)

10^(38)

2. If each of the 10^6 programmers make 10^5 then the total money they make together is the product of the number of programs with the sallary each makes. We have:

total = (10^6)*(10^5)

total = 10^(6 + 5)

total = 10^11

total = $100000000000

6 0

3 years ago

We want to factor the following expression:

S_A_V [24]

Answer:

A. (U+V)^2 or (U-V)^2

Step-by-step explanation:

$9x^6 + 6x^3y + y^2 \\ \\ = {(3 {x}^{3} )}^{2} + 2.(3x^3).y +( y)^2 \\ \\ = \bigg({3 {x}^{3} } + y \bigg)^{2} \\ \\ = \bigg({3 {x}^{3} } + y \bigg) \bigg({3 {x}^{3} } + y \bigg) \\ \\ \\ \\$

4 0

2 years ago

How do you distinguish between multiples and factors of a number, and justify your evaluation of the LCM & GCF of a set of n

Reil [10]

Answer:

Look to the explanation

Step-by-step explanation:

- Multiples of a number are the numbers after multiplying the number

by an integer

- Ex: The multiples of 2 are 2 , 4 , 6 , 8 , .......... because 2 × 1 = 2 ,

2 × 4 = 4 , 2 × 3 = 6 and 2 × 4 = 8

- Factors of a number are the number multiplied together to get the

number

- Ex: The factors of 6 are 1 , 2 , 3 , 6 because 1 × 6 = 6 and 2 × 3 = 6

- Lowest common multiple of the set of numbers (LCM) is the

smallest number divisible by these numbers

- Ex: The lowest common multiple of 2 and 3 is 6 because 6 is divisible

by 2 and 3 and there is no number before it divisible by both

- Greatest common factor of the set of numbers (GCF) is the highest

common factor of these numbers

- Ex: The greatest common factor of 12 and 18 is 6 because

→ The factors of 12 are 1 , 2 , 3, 4, 6, 12

→ The factors of 18 are 1 , 2 , 3 , 6 , 9 , 18

→ The greatest common factor on both numbers is 6

3 0

3 years ago