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4 years ago

Solve for x in the diagram below

Mathematics

2 answers:

gladu [14]4 years ago

6 0

Answer:

x = 20°

Step-by-step explanation:

We know that the big angle is 90°, due to the marking on the diagram. So, we make all the angles add up to 90°. Now, we can make the x stay on one side and solve for the value.

Travka [436]4 years ago

5 0

Answer:

x= 20 degrees

Step-by-step explanation:

We know the sum of the three angles adds to 90 (because of the box in the corner)

x + 2x + x+10 = 90

Combine like terms

4x +10 = 90

Subtract 10 from each side

4x+10-10 = 90-10

4x = 80

Divide each side by 4

4x/4= 80/4

x = 20

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Use inductive reasoning to predict the next line in the sequence of computations.

USPshnik [31]

Answer:

1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n

Step-by-step explanation:

The computation of the next line in the sequence is shown below:

As we can see that there is an increase of 6 in the left side and on the right hand side there is an increase of one

So,

1 = 1 × n

1 + (1+6) = 2 × n

1 + (1+6) + (1+6+6) = 3 × n

So, the next line would be

1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n

i.e.

1 + 7 + 13 + 19 = 4 × 10

As 1 + 7 + 13 + 19 = 40

And 40 = 4 × 10

5 0

3 years ago

Out of 30 people, 11 said "yes," and 19 said "no." What is the best estimate for the total number of homes that would say yes in

QveST [7]

Answer:

C. 73

Step-by-step explanation:

set up a proportion for this one, so youre trying to find only the amount of yes' so only use 11 since they are the yes'. 30 is the total so your fraction/ proportion is 11/30. now we set up another proportion but with 200. x represents the unknown amount of people who say yes. the fraction for this will be x/200. cross multiply:

11 x 200 = 2200

2200/ 30 = 73.33333333

closest answer to this is 73 (c)

5 0

3 years ago

20% of the dogs at the pound needed medical care. what is the ratio of dogs that needed care and dogs that did not

Aleksandr-060686 [28]

I believe it is 1 : 5. Hope this helps :)

7 0

3 years ago

Triangle ABC has vertices A(0,4), B(1,2), and C(4,6). Determine whether ABC is a right triangle. Explain

34kurt

For it to be a right triangle, it must have a right angle.
Right angles are formed by perpendicuar lines.
If we find that two of these lines are perpendicular, we will know it is a rt. triangle.

Perpendicular lines have slopes which are opposite reciprocals (like 3 and -1/3)

To find the slope between two points, use the formula $m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}$ .

For line AB:
$m=\frac{2-4}{1-0}=\frac{-2}{1}=-2$

For line AC:
$m=\frac{6-4}{4-0}=\frac{2}{4}=\frac{1}2$

For line BC:
$m=\frac{6-2}{4-1}=\frac{4}{3}$

-2 and 1/2 are opposite reciprocals, so this must be a right triangle.
<em>
</em><em>Another way to do this would be to use the distance formula to find the three side lengths and see if the Pythagorean Theorem applies.</em>

3 0

3 years ago

PLEASE HELP LOOK AT THE PHOTO I GAVE YOU PLEASE D:

77julia77 [94]

Answer:

$30\%$

Step-by-step explanation:

There are 6 blocks shaded out of 20.

$6/20=3/10=30\%$

8 0

3 years ago

Read 2 more answers