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Answer:

21°

Step-by-step explanation:

We can prove these two triangles congruent by the HL (Hypotenuse-Leg) theorem. Then, we know that m<YQR is congruent to m<PQY. We can then use their given values to form an equation.

5x+6=16x-27

Continue to solve . . .

33 = 11x

x=3

Therefore, we can plug this value of 3 into the expression for the value of m<YQR, and you will get

(16 x 3) - 27, which is equal to 21°.

Answer:

[tex] - 4x + 9 = 21 \\ - 4x = 21 - 9 \\ = 12 \\ x = \frac{12}{ - 4} \\ x = - 3[/tex]

Answer:

X = 12.21

Step-by-step explanation:

Since this is a right triangle, use the formula A^2 + B^2 = C^2 and plug in appropriate values.

(10)^2 + (7)^2 = C^2

100 + 49 = C^2

149 = C^2

12.2065 = C

Rounded to two decimal places, this makes X equal to 12.21.

The required value of x is 12.21 for the given right triangle.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

Since this is a right triangle, use the formula A² + B² = C² and substitute appropriate values.

(10)² + (7)² = x²

100 + 49 = x²

149 = x²

x = √149

x = 12.2066

Rounded to two decimal places,

x = 12.21

Therefore, the required value of x is 12.21.

Learn more about Pythagoras's theorem here:

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Answer:

The Answer should be 9

140-180=40

360÷40=9

Answer:

9

Step-by-step explanation:

size of each interior angle can be represented by: [tex]140^{o} = 180^{o}[/tex]•[tex]\frac{(n-2)}{n}[/tex]

solve for n:

[tex]140^{o} = 180^{o}[/tex]•[tex]\frac{(n-2)}{n}[/tex]                   multiply both sides by n

140ºn = 180º(n - 2)                 distribute 180º to (n - 2)

140ºn = 180ºn - 360º             subtract 180ºn from both sides

-40ºn = -360                          divide both sides by -40º

n = 9

If the hypotenuse is 4 cm and an angle is 57°. Then the measure of the length of the side x will be 3.36 cm.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The right triangle is given with a hypotenuse of 4 cm and an angle of 57°.

Then the value of x will be

The value of x will be given by the sine rule.

sin θ = x/h

WE have

θ = 57°

h = 4 cm

Then we have

sin 57° = x/4

x = 3.3546

x ≅ 3.36

More about the right-angle triangle link is given below.

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Answer:

7/4 and 3

Step-by-step explanation:

Answer:

That kind of depends what x is...the theta angle? the hypotenuse? the base?

But i'll solve it for the missing value of the hypotenuse

5^2 +{ 12^2=c^2

169=c2

c=169 root

c=13 inches

Answer:

60 for chocolate pretzels and 1.50 for strawberry for the total cost will be 2.10$

Step-by-step explanation:

Answer:

the total would be 1.50

Step-by-step explanation:

Answer:

2.5 would be 5 while 11.2 would be 22.4

Answer:

154

Step-by-step explanation:

15cm = 150 mm + 4 mm = 154

Answer:

y<2x−3 would be the answer

Answer:

Step-by-step explanation:

perimeter=2(100+16)

                =2(116)

                =232 cm

area=100(16)

       =1600 cm²

Answer:

1.40

2.51

welp that's all

Answer:

=64x^14+169

Step-by-step explanation:

happy to help ya :)

Answer:

0.77 is bigger than 0.08

Step-by-step explanation:

0.77 > 0.08

You have to compare tenth place. In tenth place 7 is greater than 0. so 0.77 is bigger than 0.08

Answer:

19/1 or 1.9

Step-by-step explanation:

Answer:

sodium chloride

Step-by-step explanation:

It is the chemical element (symbol Na) with an atomic number of 11 and atomic weight of 22.98977. It is a soft, waxy, silvery, reactive alkali metal that is never found unbound in nature.

Answer:

I think the answer to this question is 3,500 I'm sorry if I'm wrong.

Step-by-step explanation:

Answer:

y=70

x=55

Step-by-step explanation:

In an equilateral triangle, all the angles measure 60 degrees. Knowing this, we can set the following equations:

[tex]60=y-10\\60=x+5[/tex]

[tex]60=y-10[/tex]

Add 10 to both sides

[tex]60+10=y-10+10\\70=y[/tex]

[tex]60=x+5[/tex]

Subtract both sides by 5

[tex]60-5=x+5-5\\55=x[/tex]

I hope this helps!

Answer:

x is 55° & y is 70°.

Step-by-step explanation:

This is an equilateral triangle.

In an equilateral triangle all sides are 60°

So,

1) x+5 = 60

x = 55°.

2) y-10 = 60

y = 70°.

Answer: x is 55° & y is 70°.

Answer:

x=19

Step-by-step explanation:

[tex]\frac{30}{x+5+30} =\frac{20}{36}[/tex]

700+20x=1080

20x=380

x=19

Answer:

False.

Step-by-step explanation:

The area = 1/2.b.h.

Answer:

Below

Step-by-step explanation:

In areas that require building, such as carpentry or architecture, the Pythagorean Theorem can be used to find unknown side lengths in order to determine the lengths of building material needed to complete the triangle- a shape often used in construction due to its more durable nature.

Answer:

The Pythagorean Theorem is useful for two-dimensional navigation. You can use it and two lengths to find the shortest distance. … The distances north and west will be the two legs of the triangle, and the shortest line connecting them will be the diagonal

Step-by-step explanation:

Answer:

First blank: 4

Second blank: 3

Third blank: 8

Step-by-step explanation:

The expressions must be equivalent, yet one must read as 4 times the length of the box.

Looking at the given expression, 12x + 32, both numbers can be evenly divided by 4.

Since the blank spaces contain parenthesis, I can assume the problem is asking us to factor the numbers.

This means we put the number 4 on the outside of the parenthesis to display "4 times the side length."

4 × ? = 12

4 × 3 = 12

Substitute 12 for 3.

4 × ? = 32

4 × 8 = 32

Substitute 32 for 8.

4 (3x + 8)

Answer:

4

Step-by-step explanation:

The diagonals are equal length:

[tex]6x - 14 = 8x - 20\\-2x = -6\\x = 3[/tex]

[tex]BD = 6x - 14\\BD = 6 * 3 - 14\\BD = 18 - 14\\BD = 4[/tex]

The length of diagonal BD in rectangle ABCD is 4 units.

A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal to each other. All the angles of a rectangle measure 90 degrees.

The diagonals of a rectangle are equal to each other.

AC = BD (diagonals of rectangle are equal)

6x - 14 = 8x - 20

2x = 6

x = 3

BD = 6(3) - 14 = 4 units

The length of diagonal BD in rectangle ABCD is 4 units.

Find out more on Rectangle at: https://brainly.com/question/25292087

Answer: y

Step-by-step explanation:

The value of y is dependent on the x value. The x value can be anything you choose and is therefore independent of y.

Answer:

x=exterior

y=interior

x+y=180

y is greater than or = to 2x.

So one value could be x+2x=180

3x=180

x=60

or you could do 2x+1+x=180

3x=179

x=179/3

or 2x+2+x=180

3x=178

x=178/3

Step-by-step explanation:

Answer:

x= 36 - k

Step-by-step explanation:

let X stand for the amount of exhibits open

36 is the total number of exhibits

K is the amount of exhibits closed

you would subtract k from 36 to find out how many exhibits are open

Answer:

x=-36k

Step-by-step explanation:

Answer Yes because 2 sides are parallel

Step-by-step explanation:

pearson realize