MATHEMATICS HIGH SCHOOL

Use an algebraic equation to find the measure of each angle that is represented in terms of x.

Answers

Answer 1

Answer:

The measure of each angle is 117°

Explanation:

Given that the two angles are (11x-26)° and (7x+26)°

We need to determine the measure of each angle.

Measure of angles:

From the figure, it is obvious that the two angles are vertically opposite angles.

By definition, we know that, the vertically opposite angles are always equal.

To determine the measure of each angle, we shall first find the value of x.

Thus, we have,

$11x-26=7x+26$

$4x-26=26$

$4x=52$

$x=13$

Thus, the value of x is 13

Now, substituting $x=13$ in the angle (11x-26)°, we get,

$(11(13)-26)^(\circ)=(143-26)^(\circ)$

$=117^(\circ)$

The measure of the angle is 117°

Similarly, substituting $x=13$ in the angle (7x+26)°, we get,

$(7x+26)^(\circ)=(7(13)+26)^(\circ)$

$=117^(\circ)$

The measure of the angle is 117°

Hence, the measure of each angle is 117°

Related Questions

Given: 9-4x = -19 Prove: x = 7
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Find the length of the hypotenuse of an isosceles right triangle whose legs are 1 unit in length.
What is the quotient (x^3+8)/(x+2)
Which side lengths could be used to form a triangle?10 cm, 20 cm, 10 cm1 cm, 2 cm, 5 cm14 cm, 8 cm, 5 cm6 cm, 2 cm, 7 cm

Which of the following shows 27/54 written in prime factored form to help in reducing the fraction to simplest form? A. 9x3/9x6
B. 27x1/27x2
C. 3x3x3/3x3x3x2
D. 1/2

Answers

Answer: C. 27/54 .

Step-by-step explanation:

Here, given number, 27/54

Since the prime factor form of 27 = $3* 3* 3$

And, the prime factor form of 54 = $3* 3* 3* 2$

putting the prime factor form of both 27 and 54 in the given numbers.

we get, $(27)/(54) =(3* 3* 3)/(3* 3* 3* 2) = 1/2$

Thus, by putting the prime factor form by C we get the simplest form of the given fraction.

Therefore, Option C is correct.

C. 3x3x3/3x3x3x2

27 splits into 3 and 9, the 9 splits into 2 3's. You can't split the threes.
54 splits into 2 and 27, the 27 is the same as above.

The length of a rectangle is 2 more than 3 times the width. If the perimeter is 100 meters, what is the width of the rectangle?a. 13 meters
b. 12 meters
c. 11 meters

Answers

Answer: 12 meters

Step-by-step explanation:

Let the width of the rectangle be w.

Then the length of the rectangle will be 2+3w

We know that the perimeter of a rectangle is given by :-

$\text{P}=2(l+w)$ , where l is length and w is width of the rectangle.

Now, according to the question, we have

$2(w+2+3w)=100\n\n\Rightarrow2(2+4w)=100\n\n\Rightarrow\ 4+8w=100\n\n\Rightarrow\ 8w=96\n\nRightarrow w=12\ \text{meters}$

Hence, the width of the rectangle = 12 meters

The correct answer is 12 meters. Hope that helps!

find an equivalent expression without parentheses -(50x-15y+15)=

Answers

-(50x-15y+15) = -50+15y-15

Answer:

-50x+15y-15

Step-by-step explanation:

hope this helps!

On august 1st, a plant was 79 centimeters tall. in june of that year it grew 12 centimeters, then 9 more centimeters in july. how many centimeters tall was it on june 1st?a.67
b.70
c.100
d.5

Answers

Answer: d. 58

The height of the plant in June 1st is 58 centimeters.

Step-by-step explanation:

Given : On August 1st, a plant was 79 centimeters tall.

In June of that year it grew 12 centimeters, then 9 more centimeters in July.

Order of Month = June → July → August

Then , the height of the plant on June 1st would be

Height in August 1st - Height grew in June - height grew in July

= 79-12-9 centimeters

= 67-9 centimeters

= 58 centimeters

Therefore , the height of the plant in June 1st = 58 centimeters

Hence, the correct answer is d. 58

If x>o, which of the following is equivalent to the expression(√x) (√2)?

2x
√2x
x√2
x²√2

Answers

Answer:

√2x.

Step-by-step explanation:

√x * √2 = √(2x).

Its the second option.

Answer:

The correct answer is: √2x

Step-by-step explanation:

We (must to) know that is:

√a · √b ⇔ √ab

God with you!!!

You buy a 24 pack of 591mL bottles of water. How many Liters is that?

Answers

24 bottles x 591 mL/bottle = 14,184 mL

Since 1L = 1000 mL,

14,184 mL x 1L/1000mL = 14,184/1000 = 14.184L (14 whole liters)

Final answer:

The total volume of 24 bottles of 591 milliliters of water is 14.184 liters.

Explanation:

If you have 24 bottles of water each containing 591 milliliters, we first need to convert the volume of one bottle to liters.
Since 1 liter corresponds to 1000 milliliters, one bottle contains 0.591 liters.
Multiplying this value by the number of bottles, which is 24, results in the total volume in liters: 14.184 liters.

Learn more about Volume Conversion here:

brainly.com/question/35097419

#SPJ2

Other Questions

a dog weighs 44 pounds and the veterinarian thinks i needs to lose 7 pounds. Milkala wrote the equation x+7 to represent the situation. Kirk wrote the equation 44- x = 7. Which equation is correct? can you write another equation that represents the situation?

Solve the following system of equations graphically. Click on the graph until the correct solution of the system appears.x + y = 2 x = 1

In the equation 2x - y = 4, the x-intercept is 2 and the y-intercept is -4.

The measure of W is 134°, the measure of Y is 46°, and the measure of Z is 134°.What is the measure of X?a 40°b 46°c 134°d 90°