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denis-greek [22]
3 years ago
9

Can you please solve for x

Mathematics
2 answers:
sergey [27]3 years ago
7 0
6x-6+54+90=180
6x+138=180
-138 -138
6x=42
6x/6=42/6
X=7
Elanso [62]3 years ago
4 0

54+90+6x-6=180

108+6x=180

6x=72

x=72/6

x=12

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What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y
Gekata [30.6K]

Answer:

y=\displaystyle-\frac{4}{3}x+22

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept
  • Parallel lines always have the same slope (<em>m</em>)

<u>Determine the slope (</u><em><u>m</u></em><u>):</u>

<u />y=\displaystyle-\frac{4}{3}x -1<u />

The slope of the given line is \displaystyle-\frac{4}{3}, since it is in the place of <em>m</em> in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be \displaystyle-\frac{4}{3}. Plug this into y=mx+b:

y=\displaystyle-\frac{4}{3}x+b

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

y=\displaystyle-\frac{4}{3}x+b

To find the y-intercept, plug in the given point (6,14) and solve for <em>b</em>:

14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22

Therefore, the y-intercept of the line is 22. Plug this back into y=\displaystyle-\frac{4}{3}x+b:

y=\displaystyle-\frac{4}{3}x+22

I hope this helps!

5 0
3 years ago
When you have two congruent triangles with two congruent lines what do you do in a proof?
BARSIC [14]
I do not know what you mean by in proof but are there multiple choice answers?
7 0
4 years ago
14 - 8 + 3 + 8 × [24 ÷ 8}
Kryger [21]

Step-by-step explanation:

14 - 8 + 3 + 8 × [24 ÷ 8}

14 - 8 + 3 + 8 × [3}

14-8+3+24= 33

= 33

3 0
3 years ago
Read 2 more answers
(a) Predict the median income of a region in which 30% of adults 25 years and older have at least a bachelor's degree.
Step2247 [10]

Answer:

(a). $35746. (b). Higher.

Step-by-step explanation:

(a). Given that the least-squares regression equation is y = 7163x + 14242. Also, in the question above we are given that y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region, that is to say that the value of x = 30.

Therefore, y = 7163x + 14242.

y = (7163 × 30) + 14242.

y = $35746.

(b). The condition for our x is; 28.7 percent of adults 25 years and older have at least a bachelor's degree.

Then, y = (7163 × 28.7) + 14242.

y = $34814.

Hence, we have the median income in this region = $38,163 HIGHER than $34814.

4 0
3 years ago
Exit
Anettt [7]
The answer would be D. We would need to subtract the amount he has with the amount he paid
6 0
4 years ago
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