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3 years ago

Find angles X and Y for the question

Mathematics

2 answers:

Virty [35]3 years ago

4 0

9514 1404 393

Answer:

x = 129°

y = 82°

Step-by-step explanation:

x is supplementary to the angle corresponding to 51°, so is supplementary to 51°.

x = 180° -51° = 129°

y is an alternate exterior angle to the unmarked angle between 47° and 51°, hence congruent to that angle. Its measure is ...

y = 180° -47° -51° = 82°

Sav [38]3 years ago

3 0

Answer:

x = 129

y = 82

Step-by-step explanation:

x + 51 = 180

x = 180 - 51

x = 129

y + 51 + 47 = 180

y = 98 - 180

y = 82

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9x 2 - 18x - 7 ÷ (3x + 1)

Harman [31]

Answer:

The quotient is: 3x-7

The remainder is: 0

Step-by-step explanation:

We need to divide 9x^2 - 18x - 7 ÷ (3x + 1)

The Division is shown in the figure attached.

The quotient is: 3x-7

The remainder is: 0

8 0

3 years ago

What’s the missing angle. Brainliest if your correct

stellarik [79]

We are given:

We know that the sum of all interior angles of a Pentagon is 540°

we are given 4 out of the 5 angles

Solving for x:

since the sum of all 5 angles is 540°:

75 + 130 + 135 + x + 90 = 540

x + 430 = 540

x = 540 - 430

x = 110°

6 0

3 years ago

As part of a research project on student debt at TWU, a researcher interviewed a sample of 35 students that were chosen at rando

Inga [223]

Answer:

Option a is right

Step-by-step explanation:

Given that as part of a research project on student debt at TWU, a researcher interviewed a sample of 35 students that were chosen at random concerning their monthly credit card balance.

Sample average = 2573

Variance = 4252

Sample size = 35

STd deviation of X = $\sqrt{4252} \\=65.21$

Score of student selected at random X=1700

Corresponding Z score = $\frac{1700-2573}{65.201} \\=-13.38$

Rounding of we get Z score = -13.4

option a is right

6 0

3 years ago

Juan tiene cubos azules de 55 mm de arista y cubos rojos de 45 mm de arista. Los apila en dos columnas, una de cada color ; quie

balu736 [363]

the question in English

Juan has blue cubes with a 55 mm edge and red cubes with a 45 mm edge. He stacks them in two columns, one of each color; he wants the two columns to be the same height. How many cubes does he need, as a minimum, of each color?

Let

x---------> the number of blue cubes

y--------> the number of red cubes

we know that

Juan wants that the two columns to be the same height

$55x=45y$

solve for y

$y=\frac{55}{45}x$

I proceed to calculate a table, assuming values of x to calculate the value of y. When the values of x and y are whole numbers, I will have found the solution.

the table in the attached figure

therefore

the answer is

9 blue cubes

11 red cubes

7 0

3 years ago

A square grassy field is watered by 4 sprinklers. The sprinklers spray water in a circular pattern, as shown above. If the field

enot [183]

The answer is (3600 - 900π) ft²

Step 1. Find the radius r of circles.
Step 2. Find the area of the portion of the field that will be watered by the sprinklers (A1)
Step 3. Find the total area of the field (A2)
Step 4. Find the area of the portion of the field that will not be watered by the sprinklers (A)

Step 1. Find the radius r of circles
r = ?
According to the image, radius of a square is one fourth of the field side length:
r = s/4
s = 60 ft
r = 60/4 = 15 ft

Step 2. Find the area of the portion of the field that will be watered by the sprinklers.
The area of the field that will be watered by the sprinklers (A1) is actually total area of 4 circles with radius 15 ft.
Since the area of a circle is π r², then A1 is:
A1 = 4 * π r² = 4 * π * 15² = 900π ft²

Step 3. Find the total area of the field (A2)
The field is actually a square with side s = 60 ft.
A2 = s² = 60² = 3600 ft²

Step 4. Find the area of the portion of the field that will not be watered by the sprinklers (A).
To get the area of the portion of the field that will not be watered by the sprinklers (A) we need to subtract the area of 4 circles from the total area:
A = A2 - A1
A = (3600 - 900π) ft²

5 0

3 years ago

Read 2 more answers