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2 years ago

What are the measures of Angles a, b, and c? Show your work and explain your answers. (10 points)

Mathematics

1 answer:

Rus_ich [418]2 years ago

7 0

Answer:

The measure of angle a is 35 degrees, b is 55 degrees and c is 110 degrees.

∡a has an angle of 40°. Vertical angles are always congruent.

∡b is the 3rd angle in a triangle, the other two are 40° and 90° all of the interior angles in a triangle add up to 180°.

∡c is a linear angle, linear angles always add up to 180°.

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Solve for x: 3 − (2x − 5) < −4(x + 2) (1 point)

mixas84 [53]

Answer: x<-8

Step-by-step explanation:

4 0

3 years ago

The equation of a given circle in general form is x^2+y^2-8x+12y+27=0. Write the equation in standard form, (x-h)^2+(y-k)^2=r^2,

umka2103 [35]

Answer:

(x - 4)² + (y + 6)² = 5²

Step-by-step explanation:

rearrange the general equation as follows

collect the terms in x and y together and place the constant on the right side

x² - 8x + y² + 12y = - 27

add (half the coefficient of the x/y term)² to both sides

x² + 2(- 4)x + y² + 2(6)y = - 27

(x - 4)² + 16 + (y + 6)² + 36 = - 27 + 16 + 36

(x - 4)² + (y + 6)² = 25

(x - 4)² + (y + 6)² = 5² ← in standard form

7 0

3 years ago

How can you get 3/3 -1/6?

cluponka [151]

9514 1404 393

Answer:

5/6

Step-by-step explanation:

Addition or subtraction of fractions requires a common denominator. The value 3/3 can be multiplied by 2/2 to give 6/6, which has the same denominator as the other fraction.

$\dfrac{3}{3}-\dfrac{1}{6}=\dfrac{3\cdot2}{3\cdot2}-\dfrac{1}{6}\\\\=\dfrac{6}{6}-\dfrac{1}{6}=\dfrac{6-1}{6}=\boxed{\dfrac{5}{6}}$

5 0

3 years ago

Serena's average speed during her training run was 8 kilometers per hour over the 2 hours that she ran What was the total

Elena-2011 [213]

Answer:

Step-by-step explanation:

8x2=16

8 0

3 years ago

For each direct variation find the constant of variation then find the value of Y when X equals -0.5. Y equals 2 when X equals 3

Readme [11.4K]

For direct variation y varies directly with x, then we use equation y = kx

Where k is the constant of proportionality

Given: Y equals 2 when X equals 3

We plug in 3 for x and 2 for y and solve for k

y = kx

2 = k(3)

Divide both sides by 3

$\frac{2}{3} =k$

Now we plug in 2/3 for k

$y=\frac{2}{3}x$

Given x=-0.5 and find out y

$y=\frac{2}{3}(-0.5)$

y=-0.33

the value of y is -0.33 when x=-0.5

4 0

3 years ago