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Gelneren [198K]
3 years ago
5

Help find the value of x

Mathematics
1 answer:
Nookie1986 [14]3 years ago
8 0

Answer:

x = 82

Step-by-step explanation:

The bottom angle is the same as the angle next to x + 6

A straight angle is 180 degrees.

You add the given angles: (x + 6) + (x + 10) = 2x + 16

180 = 2x + 16

- 16           -16

164 = 2x

x = 82

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Identify the property that justifies each step asked about in the answer area below.
Tema [17]

Answer:

Line 1 to Line 2: Distributive Property

Line 2 to Line 3: Commutative Property of Multiplication

Line 3 to Line 4: Associative Property of Multiplication

Step-by-step explanation:

3 0
3 years ago
The scale of Miguel's dollhouse is 1in.=2 2/7ft. If the pants of the military uniform of the father in the dollhouse are 1 2/5 i
Eva8 [605]

Answer:

3 1/5 ft

Step-by-step explanation:

We can set up a proportion:

\frac{1}{2\frac{2}{7} } =\frac{1\frac{2}{5} }{x} , where x is how long the pants are in real life

Cross multiply:

x = (2 2/7) * (1 2/5)

It's easier if we have improper fractions, so convert the mixed numbers into improper fractions:

2 2/7 = 16/7

1 2/5 = 7/5

Now, put these back in:

x = (16/7) * (7/5) = 16/5 = 3 1/5

Thus, in real life, the pants would be 3 1/5 ft long.

Hope this helps!

5 0
3 years ago
Read 2 more answers
A line passes through the point (-8, 7) and has a slope of negative 3/4Write an equation in slope-intercept form for this line.
Arlecino [84]

Answer:

y=-\frac{3}{4}x+1

Step-by-step explanation:

We do not have enough information for slope intercept form. But we can use the point-slope formula to find the information. The formula is y -y_{1} =m(x -x_{1}) where we substitute a point (x,y) for (x_{1},y_{1}).  

We have m=-3/4 and (-8, 7). We input m and x_{1} =-8\\y_{1}=7.

y-7=-\frac{3}{4} (x-(-8))\\y-7=-\frac{3}{4} (x+8)

We now simplify the parenthesis and solve for y.

y-7=-\frac{3}{4} (x+8)\\y-7=-\frac{3}{4}x+-\frac{3}{4} (8)

We convert 8 into a fraction with 1 as the denoinator.

y-7=-\frac{3}{4}x+-\frac{3}{4} (\frac{8}{1} )\\y-7=-\frac{3}{4}x+-\frac{24}{4}\\y-7=-\frac{3}{4}x+-6

We add 7 to both sides to isolate y,

y-7+7=-\frac{3}{4}x+-6+7\\y=-\frac{3}{4}x+1

This is slope intercept form. The line as slope -3/4 and y-intercept (0,1) or b=1.

5 0
3 years ago
On a test with a population mean of 75 and standard deviation equal to 16, if the scores are normally distributed, what percenta
sashaice [31]

Answer:

Percentage of scores that fall between 70 and 80 = 24.34%

Step-by-step explanation:

We are given a test with a population mean of 75 and standard deviation equal to 16.

Let X = Percentage of scores

Since, X ~ N(\mu,\sigma^{2})

The z probability is given by;

           Z = \frac{X-\mu}{\sigma} ~ N(0,1)    where, \mu = 75  and  \sigma = 16

So, P(70 < X < 80) = P(X < 80) - P(X <= 70)

P(X < 80) = P( \frac{X-\mu}{\sigma} < \frac{80-75}{16} ) = P(Z < 0.31) = 0.62172

P(X <= 70) = P( \frac{X-\mu}{\sigma} < \frac{70-75}{16} ) = P(Z < -0.31) = 1 - P(Z <= 0.31)

                                              = 1 - 0.62172 = 0.37828

Therefore, P(70 < X < 80) = 0.62172 - 0.37828 = 0.24344 or 24.34%

6 0
3 years ago
Need help ( due tomorrow) will give you brainliest answer if ALL answers are correct and ALL done
taurus [48]
1) slope= -5/2 Y-intercept= -1
2) slope= 3/2 Y-intercept= 3
3) slope= -7/3 Y-intercept= 4
4) slope= -4/9 Y-intercept= -3
5) slope= -2/1 Y-intercept= 2
6) slope= 1/2 y-intercept= -1
7) slope= 5/2 Y-intercept= -4
8) slope= -1/3 Y-intercept= 1
9) slope= 1/2 Yintercept= 4
10) slope= -2/3 y-intercept= -2
7 0
3 years ago
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