All categories

2 years ago

Solve for x in the diagram below.

Mathematics

2 answers:

Neko [114]2 years ago

6 0

Answer:

X = 15

Step-by-step explanation:

We can tell that the two sides that show the degrees are equal because of the arc. We can set up a simple equation:

x + 45 = 60

x = 15

Degger [83]2 years ago

5 0

<u>Answer:</u>

x = 15°

<u>Explanation:</u>

The two marked angles are equal as they are vertically opposite angles.

∴ x + 45° = 60°

⇒ x = 60° - 45°

⇒ x = 15°

You might be interested in

Write an expression that represents the height of a tree that begins at 10 feet and increases by 3 feet per year. Let t represen

mestny [16]

t represents number of years
initial height=10ft
Increases per year=3ft

Expression:-

$\\ \sf\longmapsto 10+3t$

3 0

3 years ago

Based on the Nielsen ratings, the local CBS affiliate claims its 10 p.m. newscast reaches 41% of the viewing audience in the are

damaskus [11]

Answer:

H0:p=0.41

Step-by-step explanation:

The null hypothesis always contain equality i.e. (=) sign. The null hypothesis contains the statement regarding population parameter. Here, the claim about population proportion is mentioned in the statement that 10 p.m. newscast of local CBS reaches 41% of viewers. So, the null hypothesis would be

Null hypothesis:H0: p=0.41.

4 0

3 years ago

What is the equation of the line perpendicular to Y-3x+1 that passes through the point (12,-6)?

erma4kov [3.2K]

Answer:

$3y + x = -6$

Step-by-step explanation:

Given

y = 3x + 1

Required

Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1

First, the slope of the line has to be calculated;

Th slope of a line is the coefficient of x in its linear equation;

This implies that the slope of y = 3x + 1 is 3

Having calculated the slope of the first line;

The relationship between both lines are perpendicularity; this implies that $m_1 * m_2 = -1$

Where m_1 = 3 and m_2 is the slope of the secodnd line

$m_1 * m_2 = -1$ becomes

$3 * m_2 = -1$

Divide both sides by 3

$\frac{3 *m_2}{m_2} = \frac{-1}{3}$

$m_2 = \frac{-1}{3}$

The equation of the line can be calculated using the folloing formula

$m = \frac{y - y_1}{x - x_1}$

Where $(x_1, y_1) = (12,-6)$ and $m_2 = \frac{-1}{3}$

The equation becomes

$\frac{-1}{3} = \frac{y -- 6}{x - 12}$

$\frac{-1}{3} = \frac{y + 6}{x - 12}$

Cross multiply

$-(x - 12)= 3(y + 6)$

$-x + 12=3y + 18$

Collect like terms

$12 - 18 = 3y +x$

$-6 = 3y + x$

$3y + x = -6$

4 0

3 years ago

A glass of water was seven- eighths of a liter. With a 6 liter jug, how many glasses could you pour? Do you have to multiply div

ivolga24 [154]

Let us suppose, we pour x glass of water.

The given jug is of 6 liters. And the glass of water was seven- eighths of a liter. Hence, we have the below equation

$\frac{7}{8} x= 6$

Now, in order to solve for x, we will divide 6 with 7/8. So, we have to divide.

$x=\frac{6}{7/8} \\
\\
x=\frac{48}{7} \\
\\
x=6.9$

Hence, we can pour 7 glass of water. But the 7th glass is not full of water. It is partially full.

5 0

3 years ago

Decide if the situation involves a permutation... anyone?

ehidna [41]

Each medal is different and is handed out depending on the outcome of the race/order of the racers, so we're counting the number of permutations. 4 medals are given to 4 runners, so there are

$4!=4\cdot3\cdot2\cdot1=24$

possible ways to do it.

4 0

3 years ago