What is the value of x in the diagram below? If necessary, round your answer

Mathematics

2 answers:

dexar [7]2 years ago

8 0

Answer:

$\text{C. }7.2$

Step-by-step explanation:

In the figure, all three triangles are similar. By definition, the corresponding sides of similar polygons must be in a constant proportion. Therefore, we can set up the following proportion to solve for $x$ by dividing corresponding sides:

$\frac{x}{12}=\frac{12}{20},\\20x=144,\\x=\frac{144}{20}=\boxed{\text{C. }7.2}$

Papessa [141]2 years ago

3 0

Answer:

x = 7.2

Step-by-step explanation:

Look I did the math, okay?

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Please do 3 & 4 and show work

Shalnov [3]

Answer:

3. A=B=70°; C=D=110°

4. A=90°; C=48°

Step-by-step explanation:

Same-side angles of a trapezoid add to 180°.

___

3. (2x) +(x+15) = 180

3x + 15 = 180 . . . . simplify

x +5 = 60 . . . . . . . divide by 3

x = 55

A=B=(x+15)° = (55+15)° = 70°

C=D=2x° = 2·55° = 110°

4. You are given the values of one of the angles on each side, so the other can be found by subtraction:

A=180°-D = 90°

C = 180° -132° = 48°

8 0

2 years ago

Round 1627187 to the nearest ten?

Eduardwww [97]

Answer:

1627190

Step-by-step explanation:

(see attached for reference)

Given the number 1627187, we can see that the number in the tens place is the number 8.

How we round this depends on the number immediately to the right of this number. (i.e the digit in the ones place)

Case 1: If the digit in the ones place is less less than 5, then the number in the tens place remains the same and replace all the digits to its right with zeros

Case 2: If the digit in the ones places is 5 or greater, then we increase the digit in the tens place and replace all the digits to its right with zeros.

In our case, the digit in the ones places is 7, this greater than 5, hence according to Case 2 above, we increase the digit in the tens place by one (from 8 to 9) and replace all the digits to its right by zeros giving us:

1627190