All categories

2 years ago

PLEASE HELP!!!!!!!!!!!!

Mathematics

1 answer:

Ratling [72]2 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

PQRS is a cyclic quadrilateral.

the opposite angles in a cyclic quadrilateral sum to 180° then

∠ Q + ∠ S = 180 ( substitute values )

3x - 8 + 3x + 8 = 180

6x = 180 ( divide both sides by 6 )

x = 30

Then

∠ Q = 3x - 8 = 3(30) - 8 = 90 - 8 = 82°

∠ S = 3x + 8 = 3(30) + 8 = 90 + 8 = 98°

∠ P = x + 15 = 30 + 15 = 45°

∠ R = 180° - ∠ P = 180° - 45° = 135°

You might be interested in

The concentration of DDT (C14H9Cl5), in milligrams per liter, is:

tatuchka [14]

Answer:

The correct answer is (4) a ratio variable

Step-by-step explanation:

Nominal, ordinal, interval, or ratio data are the four fundamental levels of measurement scales that are used to capture data.

Nominal scales are used for labeling variables, without any quantitative value.

Ordinal the order of the values is what is significant, but the differences between each one is not really known.

Interval we know both, the order and the exact differences between the values

Ratio they have the order, the exact value between units, and have an absolute zero

In this case, the concentration of DDT (C14H9Cl5), in milligrams per liter is a RATIO, because it has order, the exact value between units, and have an absolute zero

3 0

3 years ago

Question 65 pts Which statement about signal phrases is true? (5 points) Group of answer choices Signal phrases should be worded

damaskus [11]

Answer:

The answer is A.

Step-by-step explanation:

I took the test!

6 0

3 years ago

Jkl is an equilateral triangle jk= 13x+5,KL= 17X-19 AND JL= 8X+35

stira [4]

Answer:

x = 6

Step-by-step explanation:

Since the triangle is equilateral then sides are congruent.

Equate any 2 sides and solve for x

13x + 5 = 8x + 35 ( subtract 8x from both sides )

5x + 5 = 35 ( subtract 5 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

JK = (13 × 6) + 5 = 78 + 5 = 83

KL = (17 × 6) - 19 = 102 - 19 = 83

JL = (8 × 6) + 35 = 48 + 35 = 83

ΔJKL is equilateral with side = 83

4 0

3 years ago

Questions are in the screenshot.

White raven [17]

For question 4, $x = 18$ units,

For question 5, $x = 8.333$ units.

Step-by-step explanation:

Step 1:

Since the given polygons are similar to each other, all the ratios of one polygon to the other will remain equal for all the values of the two similar polygons.

We take the ratio of the same sides of both polygons i.e. the ratio of the lengths or the ratio of the widths.

Step 2:

For question 4, the first rectangle has a length of 9 units while the width is 3 units.

For the second rectangle, the length is x as x is greater than the width in the first rectangle. The width is 6 units.

The ratio of the first rectangle to the second is;

$\frac{3}{6} : \frac{9}{x} , x = (9)(\frac{6}{3} ) = 18.$ So $x = 18$ units.

Step 3:

The shapes in question 5 are made of a square and a triangle.

For the first shape, the side length is 6 units while the side of the triangle is 10 units.

For the second shape, the side length is 5 units while the side of the triangle is x units.

The ratio of the first shape to the second is;

$\frac{6}{5} : \frac{10}{x} , x = (10)(\frac{5}{6} ) = 8.333.$ So $x = 8.333$ units.

6 0

4 years ago

The six Grade is holding a fundraiser were students will make and sell peace necklaces for $1.50 each each student is responsibl

kap26 [50]

Answer:

$ 584.89

Step-by-step explanation:

so each student is responsible for selling 12 necklaces...and there are 130 students....so thats (130 * 12) = 1560 necklaces

each necklace is 1.50....so thats (1560 * 1.50) = 2340

profit = revenue earned - expenses

profit = 2340 - 0.45 = 2339.55

1/4 of the profit goes to Puerto Rico

1/4 * 2339.55 = 2339.55/4 = 584.887 rounds to $ 584.89 <==

6 0

3 years ago