The two congruent angles in an isosceles triangle measure 3X + 10o and 5X - 16o . What value of X makes this relationship true?

Answers

Answer 1
so for this you need to set them equal to each other! 3x+100=5x-160
now you combine like terms and solve!
Answer 2

The value of x will be equal to 13 degrees.

What is a congruent angle?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

Angles that are identical to one another are referred to as congruent angles. As a result, these angles have the same measure as one another.

Given that the two congruent angles in an isosceles triangle measure 3X + 10 and 5X - 16.

The value of x will be calculated by equating the two angles.

3X + 10 = 5X - 16.

5X - 3X = 16 + 10

2X = 26

X = 26 / 2 = 13

Therefore, the value of x will be equal to 13 degrees.

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Related Questions

Pedro ordered a pizza. The pizza place charges $12 for a large pizza plus an additional $2.50 per topping. The total cost of Pedro's pizza was $22. Write and solve an equation to determine many toppings Pedro ordered.​

Answers

Answer:

4 toppings

Step-by-step explanation:

22-12=10

2.50*?=10

2.50*4=10

4 toppings

Answer:

12+(2.50x)

12+(2.50*4)

12+(10)

22

Step-by-step explanation:

x stands for number of toppings

durante un frente frío, la temperatura Canadá bajó de 7°C a -5°C ¿Cuántos grados bajo la temperatura

Answers

Answer:

Durante el frente frío mencionado en el ejercicio, la temperatura de Canadá bajó:

12°C.

Step-by-step explanation:

Para obtener la cantidad de grados que bajó la temperatura en el caso mencionado, debes primero identificar la disminución en los grados positivos, es decir, cuando los grados Celsius llegaron a 0°C:

Diferencia entre 7°C y 0°C = 7°C

En la operación matemática, solo restante la cantidad de grados necesarios a la temperatura inicial (7°C) para que la temperatura quedara en 0°C, donde obtenemos una diferencia de 7°C, ahora identificas la cantidad de grados que se necesitan para que la temperatura pase de 0°C a -5°C:

Diferencia entre 0°C y -5°C = 5°C

Recuerda que como ya estamos hablando de diferencia, no necesitas señalar si los grados son negativos, solo identificamos el número de grados Celsius entre esas temperaturas mencionadas, por lo tanto, al final sumas las dos diferencias halladas y esa será la diferencia total entre las dos temperaturas dadas:

Diferencia entre 7°C y -5°C = 7°C + 5°CDiferencia entre 7°C y -5°C = 12°C

Por lo tanto, durante el frente frío mencionado, la temperatura en Canadá bajó 12°C.

What is the length of leg s of the triangle below?
45
3
1072
90°
45
$

Answers

Can you please repost with the image?

The length of the leg is 9.

What is the Pythagorean theorem?

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

From the triangle,

S = length of the leg.

Now,

Applying the Pythagorean theorem.

√18² = 3² + s²

18 = 9 + s²

s² = 18 - 9

s² = 9

s = 9

Thus,

The length of the leg is 9.

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The number of goldfish in a tank is 12, and the volume of the tank is 45 cubic feet. What is the density of the tank?

0.27 goldfish per cubic foot
3.75 goldfish per cubic foot
33 goldfish per cubic foot
57 goldfish per cubic foot

Answers

Answer:

0.27 goldfish per cubic foot

Step-by-step explanation:

Find the density of the tank by dividing the number of goldfish by the volume of the tank:

12/45

= 0.27

So, the density of the tank is 0.27 goldfish per cubic foot

Answer:

0.27 is the answer

Step-by-step explanation:

I took the test :)

(3)/(4)x-3=(2)/(5) write this without fractions

Answers

3x -17

4   -5 =0

3(x-4)=2

4          5

7X^2+20x=24
X=?
Please answer to 2 d.p

Answers

Answer:

0.76

or

-0.76

hope this helps

please help with number 5 (20 pts) those who answer all on the screen gets brainliest

Answers

Answer:

True

Step-by-step explanation:

This is an Isosceles triangle because it has two equal sides.

1) true
2) isosceles (2 sides)

Please help me ASAP tysm

Answers

C. Mandy made 4 bows with 2/3 yard left

how to get the interval?

Answers

Step-by-step explanation:

Decide on the number of classes.

Determine the range, i.e., the difference between the highest and lowest observations in the data.

Divide range by the number of classes to estimate approximate size of the interval

hope it helps.

stay safe healthy and happy...

Daily income of 8 workers is Rs. 2400. How many workers will earn Rs.1800

Answers

Answer:

6 workers

Step-by-step explanation:

Number workers to earnings is direct proportion.

8: 2400 :: x : 1800

Product of means = Product of extremes

2400 * x = 8*1800

           [tex]x = \frac{8*1800}{2400}\\\\x=6[/tex]

Answer:

6 workers will earn Rs. 1800.

Step-by-step explanation:

Given :-

Daily income of 8 workers is Rs. 2400.

To find :-

How many workers will earn Rs.1800.

Solution :-

Let

no. of workers will earn Rs. 1800 = x.

We need to write a ratio to solve.

8 = 2400x = 1800

using cross products

8 × 1800 = x × 240014400 = 2400x

Divide each side by 2400

14400/2400 = 2400x/24006 = x

Hence, 6 workers will earn Rs. 1800.

Round 9.107 to the nearest tenth.

Answers

Answer:

9.1

Step-by-step explanation:

Answer:9.1

Step-by-step explanation: simply remove the 2 digits after 1 as the tenth place is always one digit after the point

how do you solve 8/14 = 2/x

Answers

Answer:

x = 3 1/2

Step-by-step explanation:

8/14 = 2/x

Using cross products

8*x = 14*2

8x = 28

Divide by 8

8x/8 = 28/8

x = 7/2

x = 3 1/2

A washing machine is packaged in a box that is one meter wide, 1.5 meters long and 1.75 meters tall. What is the surface area of the box?

Answers

Answer:

11.75 please give brainliest

Step-by-step explanation:

Can yall please help me with this, pls try to explain in it steps, ty.

Answers

Answer:

D

Step-by-step explanation:

First find the slope of the line. The two points I will use are (0, 3) and (4, 2).

(2-3)/(4-0) = -(1/4). In all the equations below, the number/co-efficient before x is the slope of the line. D is the correct answer because you can rearrange the right side of it to get y = -(1/4)x+2. The co-efficient of x is -(1/4) so D is the right answer. Hope this helps! :)

Answer: D

Step-by-step explanation:

In order to have the same slope, in y=mx+b form, the two "m" must be equal.

Step 1 is to find the slope of the graph through two points. I choose the points (0,3) and (4,2)

slope is y2-y1/x2-x1 so 3-2/0-4 = -1/4

Now find which equation has the m of -1/4 and that's your answer

Hint its D.

A household aquarium tank in the shape of a rectangular prism has a base length of 242424 inches (\text{in})(in)(, start text, i, n, end text, )and a base width of 15\,\text{in}15in15, start text, i, n, end text. The height of the water is 12\,\text{in}12in12, start text, i, n, end text above the base. During cleaning, 900900900 cubic inches of water is removed. What is the absolute value of the change in the height of the water in inches

Answers

Answer:

The absolute change in the height of the water is 9.5 inches

Step-by-step explanation:

Given

[tex]l =24in[/tex] --- length

[tex]w = 15in[/tex] --- width

[tex]h =12in[/tex] --- height

[tex]V_1 = 900in^3[/tex] --- the volume removed

Required

The absolute change in the height of the water

First, calculate the base area (b):

[tex]b = l * w[/tex]

[tex]b =24in * 15in[/tex]

[tex]b =360in^2[/tex]

The height of the water that was removed is:

[tex]H = \frac{V_1}{b}[/tex] i.e. the volume of the water removed divided by the base area

[tex]H = \frac{900in^3}{360in^2}[/tex]

[tex]H = \frac{900in}{360}[/tex]

[tex]H = 2.5in[/tex]

The absolute change in height is:

[tex]\triangle H = |h - H|[/tex]

[tex]\triangle H = |12in - 2.5in|[/tex]

[tex]\triangle H = |9.5in|[/tex]

[tex]\triangle H = 9.5in[/tex]

please help me i have 5 minutes left: )! ill give Brainliest thanks<3

Answers

A, D, and E all work i think
I believe it’s A,D and E

The picture is above I’ll mark as brainliest.

Answers

Answer: B) [tex]25 ft^2[/tex]

Step-by-step explanation:

The figure is 5 blocks high and 5 blocks long.

That is 5x5 which is 25.

Each block is a foot squared so the final answer is [tex]25 ft^2[/tex]

Answer:

Answer is B. 25f squared

Step-by-step explanation:

5 down 5 across, multiply it.

The diameter of a circle is 8 kilometers.
What is the circle's area?


PLEASE HELP

Answers

Answer:

[tex]area = \pi {r}^{2} \\ = \frac{22}{7} \times {( \frac{8}{2} )}^{2} \\ = 50.3 \: {km}^{2} [/tex]

50.24

Explanation :
A= Pi x R^2
Radius is half of diameter
Half of 8= 4
4x4=16
3.14 x 16= 50.24

The multiplicative inverse of 1
W
is:

Answers

Answer:W

Step-by-step explanation: The multiplicative inverse is the reciprocal of the number

Use an algebraic approach to solve the problem.

Judy bought a coat at a 10% discount sale for $63. What was the original price of the coat?

Answers

Answer:

$70

Step-by-step explanation:

essentially, Judy paid 90% of the original price

therefore you can write this equation where 'x' equals the original price:

.9x = 63

x = 63/.9

x = 70

Evaluate e - 1/2 f when c = 15 and f =2

Answers

Answer: 14

Step-by-step explanation: I am guessing that you wrote the "c" incorrectly and that meant to be an "e". All you really need to do is replace the letters with the numbers that equal the letters, which would be:

(15) - 1/2(2)

1/2 * 2 = 1

15 - 1 = 14

A bag contains 4 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be red?

Answers

1/7 is the answer to your question

A film starts at 19:30 the film lasts 104 minutes at what time does the film end?

Answers

Answer:

Hello There!!

Step-by-step explanation:

I believe the answer is 21:14. Split 104 minutes so it will be easier to calculate so it's 60 and 44. 60 minutes is 1 hour so add 1 hour to 19:30 which is 20:30 then there is 44 minutes left. There is 30 minutes left to make it 21:00 so there is 14 minutes left at the end and add that to 21:00 which is 21:14.

hope this helps,have a great day!!

~Pinky~

If a film starts at 19:30 and lasts 104 minutes.

The film will end at 21:14.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. 

Example:

x + y + 2 is an expression.

We have,

Film start time = 19:30

Duration of the film = 104 minutes

1 hour = 60 minutes

Multiply 104/60 on both sides

104/60 x 1 hour = 104/60 x 60 minutes

1.73 hours = 104 minutes

The time the film will end:

= 19:30 + 1.73 hours

= 19:30 + 1 hour + 44 minutes

= 21:14

Thus,

The film will end at 21:14.

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On George's block, the ratio of cars to houses is 8 to 5. There are 32 cars, how many houses are there?

Answers

Answer:

Step-by-step explanation:

20 houses

Answer:

20

Step-by-step explanation:

You would set it up as 8:5=32:x. Since you are multiplying the number of cars by 4, you should do the same with houses. This gives 32:20, meaning there are 20 houses on the block.

**You may want to revise multiplying and dividing with ratios. I'm always happy to help!

Is this true or false!!! Need help!

Answers

Answer:

false

Step-by-step explanation:

false

Answer:

it is false it'll be (-infinity,infinity )

Step-by-step explanation:

Hope this helps!! <3

If f(x) = x2 – 1, and
g(x) = x + 2, then
f(g(x)) = [ ? ]x2+[ ]x+]

Answers

Answer:

f(g(x)) = x^2+4x+3

Step-by-step explanation:

f(x) = x^2 – 1

g(x) = x + 2

f(g(x))=g(x)^2-1=(x+2)^2-1=x^2+4x+4-1=x^2+4x+3


Help plzz
7. Patrick wants to buy a new computer. He already has $275 saved and plans to save $125 each month. The price of
the computer is currently $1,850, but Patrick expects the price to drop by $100 each month. Patrick wants to
determine the number of months he will need to save
a) Ifx represents the number of months, then write an equation to represent A, the total amount Patrick saves
b) Ifx represents the number of months, then write an equation to represent the cost of the computer.
c) Use your equations from part "" and part to determine how many months he will need to save before he can
buy the computer. Show your work or explain how you got your answer.
d) If the price of the computer does not drop as expected, then how many months will it take Patrick to buy the
computer at its original cost? Show your work or explain how you got your answer.

Answers

Answer:

A) A = 275 + 125x

B) 1850 - 100x

C) 7 months

D) 13 months

Step-by-step explanation:

He has $275 saved.

He plans to save $125 each month.

We are told that the computer is currently $1,850

And the price drops $100 each month.

Thus;

A) If x represents the number of months, then equation of the amount he will save is;

A = 275 + 125x

B) If x represents the number of months, then equation to represent the total cost is;

1850 - 100x

C) To find the Number of months he will need to save, we will equate gotten in question A to the equation gotten in question B. Thus;

275 + 125x = 1850 - 100x

Rearranging;

125x + 100x = 1850 - 275

225x = 1575

x = 1575/225

x = 7 months

D) If the price doesn't drop like he is anticipating, then the cost will still be $1850. Thus;

275 + 125x = 1850

125x = 1850 - 275

125x = 1575

x = 1575/125

x = 12.6 months

Approximating to the nearest whole number gives 13 months

Jeanette uses more yarn to knit a poncho than she uses to knit a scarf. Write an inequality to represent the amount of yarn Jeanette uses to knit a poncho (p), and explain how to represent the inequality on a number line.

Answers

Answer:

[tex]p > s[/tex]

Step-by-step explanation:

Given

[tex]p \to poncho[/tex]

[tex]s \to scarf[/tex]

Required

The inequality

From the question, we understand that;

the number of p used is more than the number of s

more than means greater than.

So, the inequality is:

[tex]p > s[/tex]

To represent this on a number line.

First, we identify the position of s (i.e. scarf)

[tex]p > s[/tex] implies that p is any point to the right of s

Find the value of. X (will mark brainliest)

Answers

Answer:

[tex]x=30[/tex]

Step-by-step explanation:

[tex]5x=3x+60[/tex]

[tex]-3x[/tex]   [tex]-3x[/tex]

[tex]2x=60[/tex]

[tex]/2[/tex]     [tex]/2[/tex]

[tex]x=30[/tex]

Check:

[tex]5(30)=3(30)+60[/tex]

[tex]150=90+60[/tex]

[tex]150=150[/tex]

Hope this helps!

X=30 is the correct answer to your question !!

Mr. Jubran goes to a restaurant and has a bill of $32.57. He uses a 10% off coupon
on the cost of the meal. The tax is 8%. He leaves a tip of 18% on the amount
before the coupon or tax applied. How much does he spend?

Answers

Answer:

$36.97  

The cost of the meal was $32.57 and he used a 10% off coupon. You can make 10% equal to 0.1 because . Now do . This is the discount, so you want to subtract this from the original to get the actual price of the meal, .

The tax was 8% so this means he is adding

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