All categories

2 years ago

The lines shown below are parallel. If the green line has a slope of -3/7, what is

Mathematics

1 answer:

BartSMP [9]2 years ago

7 0

Answer: the slope of green line = $-\frac37$

Step-by-step explanation:

We know that,

If two lines are parallel then their slopes(rate of change of y with respect to x) are equal.

Given: The red line and the green line are parallel.

The slope of red line = $-\frac37$

Then, the slope of green line = $-\frac37$ [Slopes of two parallel lines are equal]

Hence, the slope of green line = $-\frac37$

You might be interested in

A circle with center P is shown. RS and ST are tangent to circle P. What is the degree measure of angle RST

Bogdan [553]

Bro I’m rly sorry but I don’t know the answer to this

5 0

2 years ago

How many 1/3 pounds serving in 4 2/3 pound of cheese

Marysya12 [62]

Change 4 and 2/3 to an improper fraction.
4 + 2/3 = 14/3
There are 14 of the 1/3 lb serving in 4 and 2/3 pounds of cheese.

3 0

3 years ago

AB is a diameter of a circle, center O. C is a point on the circumference of the circle, such that

Solnce55 [7]

Given:

AB is the diameter of a circle.

m∠CAB = 26°

To find:

The measure of m∠CBA.

Solution:

Angle formed in the diameter of a circle is always 90°.

⇒ m∠ACB = 90°

In triangle ACB,

Sum of the angles in the triangle = 180°

m∠CAB + m∠ACB + m∠CBA = 180°

26° + 90° + m∠CBA = 180°

116° + m∠CBA = 180°

Subtract 116° from both sides.

116° + m∠CBA - 116° = 180° - 116°

m∠CBA = 64°

The measure of m∠CBA is 64°.

7 0

3 years ago

an artificial lake is in the shape of a rectangle and has an area of 9/20 square mile. the width of the lake is 1/5 the length o

Gnom [1K]

X=length
y=width
Area (rectangle)=length x width
we suggest this system of equations:
y=x/5
xy=9/20
solve this system of equations by substitution method:
x(x/5)=9/20
x²/5=9/20
Least common multiple=20
4x²=9
x²=9/4
x=⁺₋√(9/4)
we have two solutions:
x₁=-3/2 it does not validate
x₂=3/2 ⇒y=x/5=(3/2)/5=3/10

The dimensions of the lake are:
lengh=3/2 miles
width=3/10 miles

to check:
Area=3/2 miles x 3/10 miles=9/20 miles².
width is 1/5 the length of the lake ⇒ 3/10 miles=(3/2) /5 miles

7 0

3 years ago

A test tube is cylindrical in shape with a length of 152 mm and a radius of 6.5 mm. What is the volume of the test tube? Report

vazorg [7]

Answer:

20165

Step-by-step explanation:

Given:

Length/height (h) of cylindrical test tube = 152 mm

Radius of cylindrical test tube = 6.5 mm

Volume = $\pi r^2h$