What is multiply: -7*4

Find the value of x from this adjoining figure

Fiesta28 [93]

Answer:

$x=15^\circ$

Step-by-step explanation:

Please refer to the attached figure for labeling of given diagram:

We are given the following angles:

$\angle AOC = 3x^\circ\\\angle BOD = 2x^\circ\\\angle EOF = 7x^\circ$

Angles opposite to each other when they are formed by crossing of two lines are known as vertically opposite angles. And vertically opposite angles are always equal to each other.

Using property of vertically opposite angles:

$\angle EOF = \angle AOB = 7x^\circ$

Line CD is a straight line, so $\angle COD = 180^\circ$

Also,

$\angle COD = \angle COA+\angle AOB+\angle BOD = 180^\circ\\\Rightarrow 3x + 7x + 2x=180^\circ\\\Rightarrow 12x =180^\circ\\\Rightarrow x = \dfrac{180}{12}\\\Rightarrow x = 15^\circ$

Hence, <em>answer</em> is $x = 15^\circ$ .

5 0

3 years ago

Triangle E F G. Angle E is 29 degrees, F is 88 degrees, G is 63 degrees. Triangle K L J. Angle K is 63 degrees, L is 29 degrees,

Greeley [361]

Answer:

9090

Step-by-step explanation:

9090

7 0

3 years ago

Read 2 more answers

A pair of equations is shown below: y = 7x - 8 y = 5x - 2 Part A: Explain how you will solve the pair of equations by substituti

yuradex [85]

So, first of all you have to identify the two equations which are: y=7x-8 and y=5x-2. after identifying the two equation you can choose one of them to start with. I chose the first one and I'll use substitution method, which means I'll pug in numbers in the unknown variables to find the value of x. Y=7x-8, I'll substitute the value of y in the equation that I chose and plug in the value of the second equation. Y=7x-8 --> 5x-2=7x-8 (this is our new equation). After that I'll combine like terms. -2+8=7x-5x --> 6=2x --> 6/2=x --> 3=x. So x=3 and that's the answer using substitution method. If the two points are graphed, they will intersect at the point (3,13). To see where the intersection of the line we can use a calculator to make it faster. So we plug in the points of the two lines in the calculator we graph and find the intersection point.

8 0

3 years ago

It is said that sufferers of a cold virus experience symptoms for 7 days. However, the amount of time is actually a normally dis

AlexFokin [52]

Answer:

a) 0.18% of cold sufferers experience fewer than 4 days of symptoms

b) 64.40% of cold sufferers experience symptoms for between 7 and 10 days.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 7.5, \sigma = 1.2$