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4 years ago

Solve for x in the diagram below

Mathematics

2 answers:

Rudik [331]4 years ago

6 0

total angle on a straight line is 180 sum up the angles and equate to 180

Advocard [28]4 years ago

6 0

Answer:

x= 20

Step-by-step explanation:

Hello

I think I can help you with this

a flat angle is, in terms of geometry, the space between an intersection between two lines whose opening measures 180 degrees or 180º. Since the angle is 180º there is no difference between two lines or a line and we can say that the angles in a straight line always add up to 180º.

Step 1

define

according to the graph

3x+80+2x=flat angle=180°

3x+80+2x=180°

Step 2

solve for x

3x+80+2x=180°

5x+80=180

subtract 80 in each side

5x+80-80=180-80

5x=100

divide by 5

(5x)/5=100/5

x=20

Have a great day.

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Which operation results in a binomial? (3y ^ 6 + 4) (9y ^ 12 - 12y ^ 6 + 16)

AleksAgata [21]

Step-by-step explanation:

Given the expression, $(3y ^ 6 + 4) (9y ^ {12} - 12y ^ 6 + 16)$ , we want to know which sign placed in between the two polynomial will produce a binomial.

Using a plus (+) sign to check:

$= (3y ^ 6 + 4) + (9y ^ {12} - 12y ^ 6 + 16)\\= (3y ^ 6 + 4) + (9y ^ {12} - 12y ^ 6 + 16)\\collect \ like \ terms\\= 9y^{12} +3y^6 - 12y^6 + 16+ 4\\= 9y^{12} - 9y^6 + 20\\$

From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.

Using a plus (-) sign to check:

$= (3y ^ 6 + 4) - (9y ^ {12} - 12y ^ 6 + 16)\\= 3y ^ 6 + 4 - 9y ^ {12} + 12y ^ 6 - 16\\collect \ like \ terms\\= -9y^{12} +3y^6 +12y^6 + 4-16\\= -9y^{12} +15y^6 -12\\$

From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.

<em>Hence none of the operations given results in a binomial</em>

3 0

3 years ago

Math quest after a winter storm, the depth of the snow on cherry street was 10 \text{ cm}10 cm10, space, c, m. but then, the sno

Zanzabum

Answer:

9 cm.

Step-by-step explanation:

Let x be the number of hours.

We have been given that after a winter storm, the depth of the snow on cherry street was 10 cm. Then, the snow started melting at a rate of $\frac{1}{3}$ , so the snow melted in x hours will be $\frac{1}{3}x$ .

Since initially there was 10 cm of snow, so the depth of snow after x hours will be:

$10-\frac{1}{3}x$

To find the depth of snow after 3 hours we will substitute $x=3$ in our expression.

$10-\frac{1}{3}\times 3$

$10-1$

$9$

Therefore, the depth of the snow on cherry street after 3 hours will be 9 cm.

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4 years ago

Read 2 more answers

Question 1: What is (3 5/9) as a decimal?<br> Question 2: What is (-2 2/3) as a decimal?

Leni [432]

Answer:

A: 3.5

B: 2.6

Step-by-step explanation:

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4 years ago

Read 2 more answers

How do I solve -15= -3n/5

xenn [34]

Answer:

Step-by-step explanation:

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