NAME TWO THINGS TO CONSIDER WHEN YOU ARE PLANNING HOW TO SELECT A RANDOM SAMPLE.

The sum of three and seven times a number is -74. What is the number?

Dima020 [189]

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➷ Form an equation with 'x' as the unknown number

7x + 3 = -74

Subtract 3 from both sides:

7x = -77

Divide both sides by 7:

x = -11

The number is -11

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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7 0

3 years ago

Read 2 more answers

BEST ANSWER GETS BRAINLIEST!!!!!!!!

Ad libitum [116K]

Answer:

(x + 6, y + 0), 180° rotation, reflection over the x‐axis

Step-by-step explanation:

The answer can be found out simply , a trapezoid has its horizontal sides usually parallel meanwhile the vertical sides are not parallel.

The horizontal parallel sides are on the x-axis.

Reflection over y- axis would leave the trapezoid in a vertical position such that the trapezoid ABCD won't be carried on the transformed trapezoid as shown in figure.

So option 1 and 2 are removed.

Now, a 90 degree rotation would leave the trapezoid in a vertical position again so its not suitable again.

In,The final option (x + 6, y + 0), 180° rotation, reflection over the x‐axis, x+6 would allow the parallel sides to increase in value hence the trapezoid would increase in size,

180 degree rotation would leave the trapezoid in an opposite position and reflection over x-axis would bring it below the Original trapezoid. Hence, transformed trapezoid A`B`C`D` would carry original trapezoid ABCD onto itself

8 0

3 years ago

Help pls :’( ASAPP!!!<br> “Complete the proof”

nata0808 [166]

1) $\overline{AB} \cong \overline{CD}$ , $\overline{AD} \cong \overline{CB}$ , $\overline{AX} \perp \overline{BD}$ , $\overline{CY} \perp\overline{BD}$ (given)

2) $\overline{BD} \cong \overline{BD}$ (reflexive property)

3) $\triangle ABD \cong \triangle ACDB$ (SSS)

4) $\angle ADB \cong \angle CBY$ (CPCTC)

5) $\angle CYB$ and $\angle AXD$ are right angles (perpendicular lines form right angles)

6) $\triangle CYB$ and $\triangle AXD$ are right triangles (a triangle with a right angle is a right triangle)

7) $\triangle AXD \cong \triangle CYB$ (HA)

8) $\overline{AX} \cong \overline{CY}$ (CPCTC)

6 0

2 years ago

You're pretty sure that your candidate for class president has about 55% of the votes in the entire school. but you're worried t

Pavlova-9 [17]

Part A:

A component is one voter's vote. An outcome is a vote in favour of our candidate.
Since there are 100 voters, we can stimulate the component by using two randon digits from 00 - 99, where the digits 00 - 54 represents a vote for our candidate and the digits 55 - 99 represents a vote for the underdog.

Part B:

A trial is 100 votes. We can stimulate the trial by randomly picking 100 two-digits numbers from 00 - 99. Whoever gets the majority of the votes wins the trial.

Part C:

The response variable is whether the underdog wants to win or not. To calculate the experimental probability, divide the number of trials in which the simulated underdog wins by the total number of trials.

5 0

3 years ago

The area of a rectangular wall of a barn is 252 square feet. Its length is 10 feet longer than twice its width. Find the length

valentinak56 [21]

Answer: Length = 28 feet and width = 9 feet

Step-by-step explanation:

Let x = width of the wall.

Then, Length of the wall = 10+2x

Since , Area of rectangle = length x width

Then, as per given,

$252= (10+2x)x\\\\\Rightarrow\ 252=10x+2x^2\\\\\Rightarrow\ 2x^2+10x-252=0\\\\\Rightarrow\ x^2+5x-126=0\\\\\Rightarrow\ x^2+14x-9x-126=0\\\\\Rightarrow\ (x+14)-9(x+14)=0\\\\\Rightarrow\ (x+14)(x-9)=0\\\\\Rightarrow\ x=-14 \ or \ x= 9$

Since width cannot be negative , so x = 9

So width = 9 feet and length = 10+2(9)=10+18 = 28 feet

Hence, length is 28 feet and width is 9 feet of the wall of the barn.

7 0

3 years ago