All categories

2 years ago

Find the value of x. 4 14 3 6

Mathematics

2 answers:

nadezda [96]2 years ago

5 0

Hello from MrBillDoesMath!

Answer:

Discussion:

As vertical angles are equal, Angle 3 = Angle 2, so

Angle 3 = 3x + 2 (A)

Angles 3 and 7 are corresponding angles and hence equal. So

Angle 3 = Angle 7 => use (A) above and Angle 7 = x + 10

3x + 2 = x + 10 => subtract x from both sides

3x -x + 2 = x - x + 10 =>

2x + 2 = 10 => subtract 2 from both sides

2x = 10 -2 = 8

x = 8/2 = 4

which is the first choice

Thank you,

MrB

belka [17]2 years ago

4 0

The answer is A.) 4..

You might be interested in

a) The mean age of graduate students at a University is at most 31 y ears with a standard deviation of two years. A random sampl

kari74 [83]

Answer:

A.)

H0: μ ≤ 31

H1: μ > 31

B.)

H0: μ ≥ 16

H1: μ < 16

C.)

Right tailed test

D.)

If Pvalue is less than or equal to α ; we reject the Null

Step-by-step explanation:

The significance level , α = 0.01

The Pvalue = 0.0264

The decision region :

Reject the null if :

Pvalue < α

0.0264 > 0.01

Since Pvalue is greater than α ; then, we fail to reject the Null ;

Then there is no significant evidence that the mean graduate age is more Than 31.

B.)

H0: μ ≥ 16

H1: μ < 16

Null Fluid contains 16

Alternative hypothesis, fluid contains less than 16

One sample t - test

C.)

Null hypothesis :

H0 : μ ≤ 12

. The direction of the sign in the alternative hypothesis signifies the type of test or tht opposite direction of the sign in the null hypothesis.

Hence, this is a right tailed test ; Alternative hypothesis, H1 : μ > 12

d.)

If Pvalue is less than or equal to α ; we reject the Null.

3 0

2 years ago

Can someone help w number 4

strojnjashka [21]

Answer:

angle DFG = 49 degrees

angle JKL = 41 degrees

Step-by-step explanation:

When angles are complementary with each other, it means that if you add both of the angles up, it adds up to 90 degrees.

In this question, you would have to add up angle DFG and angle JKL and find the x that makes the equation equal to 90 degrees.

angle DFG = x + 5

angle JKL = x - 3

(x + 5) + (x - 3) = 90

2x + 2 = 90

2x = 90 - 2

2x = 88

x = 44

But since we have to find out the angle measures, we have to the "x = 44" with the x's in the DFG and JKL angles.

DFG = (44) + 5 = 49

JKL = (44) - 3 = 41

7 0

2 years ago

Select all that apply.

Lelechka [254]

Answer: The second option and the third option are true.

Step-by-step explanation:

The formula of the line in slope-intercept form is:

$y=mx+b$

Where m is the slope and b is the y-intercept.

By definition, the y-intercept in a direct variation is 0.

Therefore, substituting $m=-3$ and $b=0$ into the equation, you obtain:

$y=-3x+0$

Then, the equation is:

$y=-3x$

As this is a line, it is a linear function.

Therefore, the second option and the third option are true.

8 0

2 years ago

Solve the equation. x2 18x 81 = 25 a. 14, 4 b. –4, –14 c. 14, –14 d. –4, 4

Snowcat [4.5K]

Answer:

The answer is the option B

$-4,-14$

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}+18x+81=25$

$x^{2}+18x+56=0$

$a=1\\b=18\\c=56$

substitute in the formula

$x=\frac{-18(+/-)\sqrt{18^{2}-4(1)(56)}} {2(1)}$

$x=\frac{-18(+/-)\sqrt{100}} {2}$

$x=\frac{-18(+/-)10} {2}$

$x1=\frac{-18+10} {2}=-4$

$x2=\frac{-18-10} {2}=-14$

7 0

3 years ago

Read 2 more answers

At the start of 2014, tim house was worth £100,000 the value of the house increases by 10%per every year work out the value of h

kotykmax [81]

Answer:

$146410

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value

P = Present value

R = interest rate

N = number of years

100,000 x (1.1)^4 = $146410

4 0

2 years ago