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2 years ago

Name a pair of vertical and adjacent angles in each figure. Find m<1

Mathematics

1 answer:

Grace [21]2 years ago

3 0

Answer:

80 degrees

Step-by-step explanation:

Vertical angles are congruent, meaning that if a vertical angle is 80 degrees, the other vertical angle is 80 degrees; they have the same angle measure.

m < 1 = 80 degrees

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The point (-2,3) is the solution to a system of two linear equations. Which of the following can be one of the

Fynjy0 [20]

Answer:

We conclude that The point (-2, 3) satisfies the equation y = -x+1.

Hence, option B i.e. y = -x+1 is one of the equations of a system of two linear equations.

Step-by-step explanation:

Given

The point (-2, 3)

Checking option A

Given the equation

y = 3x-2

substitute x = -2 and y = 3

3 = 3(-2) - 2

3 = -6 - 2

3 = -8

FALSE!

L.H.S ≠ R.H.S

Thus,

The point (-2, 3) does not satisfy the equation y = 3x-2.

Checking option B

Given the equation

y = -x+1

substitute x = -2 and y = 3

3 = -(-2)+1

3 = 2+1

3 = 3

TRUE!

L.H.S = R.H.S

Thus,

The point (-2, 3) satisfies the equation y = -x+1.

Checking option C

Given the equation

y=x-1

substitute x = -2 and y = 3

3 = -2-1

3 = -3

FALSE!

L.H.S ≠ R.H.S

Thus,

The point (-2, 3) does not satisfy the equation y=x-1.

Checking option D

Given the equation

y=2x+3

substitute x = -2 and y = 3

3 = 2(-2)+3

3 = -4+3

3 = -1

FALSE!

L.H.S ≠ R.H.S

Thus,

The point (-2, 3) does not satisfy the equation y=2x+3.

Conclusion:

Thus, we conclude that The point (-2, 3) satisfies the equation y = -x+1.

Hence, option B i.e. y = -x+1 is one of the equations of a system of two linear equations.

4 0

3 years ago

1000.0 cm3 of a metallic cylinder has a mass of 556 gram. Calculate the density of the cylinder.

natima [27]

Answer:

$\text{Density}=\frac{0.556\text{ Grams}}{\text{ cm}^3}$

Step-by-step explanation:

We are asked to find the density of a cylinder whose volume is 1000.0 cubic cm and mass is 556 grams.

$\text{Density}=\frac{\text{Mass}}{\text{Volume}}$

Substitute the given values:

$\text{Density}=\frac{556\text{ Grams}}{1000.0\text{ cm}^3}$

$\text{Density}=\frac{0.556\text{ Grams}}{\text{ cm}^3}$

Therefore, the density of the metallic cylinder is 0.556 grams per cubic centimeter.

6 0

3 years ago

Describe the two factors in this expression 5(6 + 4x)

Oksana_A [137]

Answer:

A) The factors are 5 & 6

B) There are 3 terms

C) the coefficient is 4

Step-by-step explanation:

I hope this helps <3

7 0

3 years ago

Mikes rents a car for a total of £445 the rental charges are £145 for first day and £60 per day after that for how many days did

zimovet [89]

So, I'm not use to that type of currency, but I can still help you.
The equation would be:
145 + 60(d-1) = 445
Now since it is 60 per day after that, the first day would not be charge, the second would but you would not charge it more.
145 + 60d - 60 = 445
Add like terms
85 + 60d = 445
-85 -85
60d= 360
d= 6
You can even check using a table/ coordinates. x= days, y=money
(1, 145), (2, 205), (3, 265), (4, 325), (5, 385), (6, 445).

7 0

3 years ago

Calculate the average rate of change from 3 to 9 seconds, in feet per second

Annette [7]

Answer:

D is the Answeer

Step-by-step explanation:

8 0

3 years ago