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Yakvenalex [24]
3 years ago
13

Please help(: ( 8th grade lesson)

Mathematics
1 answer:
trapecia [35]3 years ago
8 0

Step-by-step explanation:

Since angle 1 is on a straight line and we know that angle 4 is 160, and a straight line has a sum of 180 degrees, simply subtract 160 from 180 to get angle 1.

Angle one would be 180-160 = 20

Since the sum of angles in a triangle is 180 and we already know 2 of them, angle 1 is 20 and angle 3 is 30, just add them together and then subtract that from 180. 20 + 30 = 50, and 180 - 50 = 130.

So in conclusion:

Angle 1 is: 20

Angle 2 is: 130

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Operations with rational expressions
Scorpion4ik [409]

$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}

Solution:

Given expression:

$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}

To solve the given expression:

First simplify: \frac{50-2 w^{2}}{3 w^{2}+9 w-30}

$\frac{50-2 w^{2}}{3 w^{2}+9 w-30}=-\frac{2(w+5)(w-5)}{3(w-2)(w+5)}

Cancel the common factor (w + 5).

                      $=-\frac{2(w-5)}{3(w-2)}

Now substitute this in the given expression.

$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{2(w-5)}{3(w-2)} \cdot \frac{w^{2}+5 w-14}{6 w-30}

Multiply the fractions \frac{a}{b} \cdot \frac{c}{d}=\frac{a \cdot c}{b \cdot d}

                               $=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{3(w-2)(6 w-30)}

Factor the denominator 3(w-2)(6 w-30) =18(w-2)(w-5)

                               $=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{18(w-2)(w-5)}                        

Cancel the common factor 2(w – 5).

                               $=-\frac{w^{2}+5 w-14}{9(w-2)}

Factor the numerator w^{2}+5 w-14=(w-2)(w+7)

                               $=-\frac{(w-2)(w+7)}{9(w-2)}

Cancel the common factor (w – 2).

                               $=-\frac{w+7}{9}

$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}

3 0
3 years ago
-3x + 7 = 1<br> what dose x represent
olchik [2.2K]

Answer:

the answer is x=3

Step-by-step explanation:

-3x=1-7

-3x=-6

-x=-6+3

-x=-3

x=3

3 0
3 years ago
Tom's grandmother gave him $10. Now Tom has $34. Which equation can be used to calculate how much money Tom had before his grand
azamat

Answer:

A.) a+10 = 34

Step-by-step explanation:


8 0
3 years ago
One-third times a number increased by eleven
MatroZZZ [7]

Answer:

1/3(n)+11

Step-by-step explanation:

n represents a number

7 0
3 years ago
On three examinations, you have grades of 85, 78, and 84. There is still a final examination, which counts as one grade In order
kirill [66]

Answer:

The average of the provided grades are 86.75

Step-by-step explanation:

Consider the provided information.

On three examinations, you have grades of 85, 78, and 84. In order to get an A your average must be at least 90.

In the last exam you get 100 marks now calculate the average by using the formula:

\frac{\text{Sum of observations}}{\text{Number of observations}}

\frac{85+78+84+100}{5}

\frac{347}{5}

86.75

86.75 is less than 90 so you will not get A.

The average of the provided grades are 86.75

6 0
4 years ago
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