All categories

3 years ago

First two need to be answered and last two need to be checked. (If you don’t see the attachments wait..)

Mathematics

1 answer:

Alinara [238K]3 years ago

4 0

Answer:

∠PQR measures 40°
x = 7
They form concentric circles
Yes, according to the triangle inequality

Step-by-step explanation:

1. ∠PQR is an alternate interior angle with the one marked 40°, so it has the measure 40°.

∠PRQ is an alternate interior angle with the one marked 60°, so it has the measure 60°.

Among the answer choices, the one describing ∠PQR as 40° is the only correct one.

2. ∠BAD = 2×∠BAE

130 = 2(9x + 2) . . . substitute the given expressions

65 = 9x + 2 . . . . . divide by 2

63 = 9x . . . . . . . . .subtract 2

7 = x . . . . . . . . . . . .divide by 9

3. Think again. Anything being rotated follows a circular path. Circular paths with different radii and the same center are concentric circles.

Straight lines connecting the pre-image and image points will be parallel (and different lengths), but the question is concerned with paths, not endpoints.

Why the path is described as "concentric circles," we're not sure. The path for a 90° rotation will be a 90° arc. It is perfectly reasonable to describe the paths of the two points as concentric arcs, rather than concentric circles. See the attachment.

4. Correct. The triangle inequality requires the sum of the two shortest side lengths exceed the longest side length. Here, that means 2+5 > 5 (true). The "toothpicks" meet the requirements of the triangle inequality, so will make a triangle.

The "triangle sum theorem" has to do with angles, not side lengths.

You might be interested in

How many three-digit even numbers can be formed using digits from the set {1, 2, 3, 4, 5, 6, 7}

castortr0y [4]

The unit numbers can be 2,4,6.Suppose 2 as the unit number we can form 20 numbers the same way for 4 and 6 so totally 60 numbers.

6 0

2 years ago

F (-2)=x+6. evaluate the function

damaskus [11]

X= -8 that uis your answer for that question :)

8 0

3 years ago

Read 2 more answers

Mr. Sanchez bought 2 magazine for 9.95 each and 1 book for 14.95 if the sales tax is 6% what is the total cost of Mr. Sanchez pu

Dima020 [189]

Rst you have to find the price of everything together

2 magazines for 9.95 each and a book for 14.95

9.95 + 9.95 + 14.95 = 34.85

Next you convert the percent to a decimal

6% = 0.06

Now you put a one in the ones place

1.06

Multiply this by the cost of everything

34.85 * 1.06 = 36.94

The answer is $36.94

Hope this helps!

Read more on Brainly.com - brainly.com/question/10235412#readmore

5 0

3 years ago

A town is planning a playground. It wants to fence in a rectangular space using an existing wall. What is the greatest area it c

777dan777 [17]

Answer:

1250 $ft^{2}$

Step-by-step explanation:

We are given that the playground is fenced on three sides of the playground and the four side has an existing wall.

Let the length of the rectangle be 'X' feet and width be 'Y' feet.

As the fencing is done using 100 feet of fence. We get the relation between the sides and the fence as, X + 2Y = 100.

As, X + 2Y = 100 → X = 100 - 2Y

Now, the area of the rectangle = XY = X × ( 100 - 2Y ).

i.e Area of the rectangle = $-2Y^{2} +100Y$ .

The general form of a quadratic equation is $y=ax^{2}+bx+c$ .

The maximum value of a quadratic equation is given by $x=\frac{-b}{2a}$ .

Therefore, the greatest value of $-2Y^{2} +100Y$ is at Y = $\frac{-100}{2 \times -2}$ = $\frac{-100}{-4}$ = 25.

Thus, Y = 25 and X = 100 - 2Y → X = 100 - 2 × 25 → X = 50.

Hence, the area of the rectangle is XY = 50 × 25 = 1250 $ft^{2}$ .

3 0

3 years ago

An unknown compound has the following chemical formula:

Andru [333]

We are given with 7.5 moles of oxygen and 7.43 moles of nitrogen.To identify the chemical formula of the compound, we divide each numner by the smaller amount between the two. Hence, oxygen is approx. equal to 1 and nitrogen is equal to 1. Hence teh formula is NO or nitric oxide.

8 0

3 years ago