find the value of x in the triangle shown below

Find The Value Of X In The Triangle Shown Below

Answers

Answer 1

Answer:

61

Step-by-step explanation:

We see that the triangle is isosceles as the two sides of it are 6.

In an isosceles triangle, you have two sides that are the same and two angles that are the same.

The two congruent angles will be opposite to the congruent sides.

So, we know that both angles must be x.

The Angles of a triangle add up to 180 degrees.

2x + 58 = 180

2x = 122

x = 61 ddegrees

Answer 2

Solution:

We know that:

Sum of interior angles of triangle: 180°

We can see that the two lines of the triangle are equivalent.

This means that:

The triangle is an isosceles triangle.The bottom angles must be equivalent.

Equation created: 58 + x + x = 180

Simplify the LHS.

58 + x + x = 180=> 58 + 2x = 180

Subtract 58 both sides.

=> 58 - 58 + 2x = 180 - 58=> 2x = 122

Divide 2 both sides.

2x = 122=> 2x/2 = 122/2=> x = 122/2 = 61

Related Questions

Assume that lines which appear tangent are tangent 15 9 solve for x

Answers

Answer: -0.383864035

Step-by-step explanation: Tan(159) = -0.383864035

Please help, this is the 2nd time posting this.

Answers

Answer:

HI = EF

Step-by-step explanation:

We are given that the sides GH and DE of the triangles are congruent. GH = DE

Also, we are given that the angles H and E are congruent.

H = E

Given that HI is congruent to EF, then the triangles are congruent, by Side Angle Side SAS

.

what is the equation of the line with y intercept (0.8)and slope 3/5​

Answers

Step-by-step explanation:

y = mx + b

m is slope

b is y-intercept

y = 3/5 x + 4/5

5y = 3x + 4

3x - 5y + 4 = 0

All three equations written above are correct, they are just in different formats :)

[tex]\mathbb{FINAL\;ANSWER:}[/tex]

[tex]\huge\boxed{\sf{y=\displaystyle\frac{3}{5} x+0.8}}[/tex]

[tex]\mathbb{SOLUTION:}[/tex]

Hi! Hope you are having a nice day!

[tex]\mathcal{GIVEN:}[/tex]

Slope of the lineThe line's y-intercept

[tex]\mathcal{TO \ FIND:}[/tex]

The equation of the line using the given information

[tex]\mathcal{PROCESS:}[/tex]

Should we write the equation of the line in Slope-Intercept Form or in Point-Slope Form?

[tex]\mathcal{SLOPE-INTERCEPT\;FORM:}[/tex]

y=mx+bwhere m = slope of the linewhere b = y-intercept of the line

Actually, we do have enough information to write the line's equation in Slope-Intercept form OR in Point-Slope Form.

However, let's write the equation in Slope-Intercept Form.

The y-intercept is 0.8, and the slope is [tex]\sf{\displaystyle\frac{3}{5} }[/tex].

Equation:

y=mx+b

Plug m:

[tex]\sf{y=\displaystyle\frac{3}{5} x+b}[/tex]

Plug b:

[tex]\sf{y=\displaystyle\frac{3}{5} x+0.8}[/tex]

Hope you could understand everything.

#LearningIsFun

please show calculations

Answers

Answer:

i can't understand can u show it carefully

Can someone who is good at math help me to do this?
10 points

Answers

Answer:

Yours: mean: 17; median: 17; mode: none

Friends: mean: 16.4; median: 17; mode: 20

You have the higher mean.

Step-by-step explanation:

a.

Your mean:

(18 + 16 + 19 + 15 + 17) / 5

= 17

Your median:

15 , 16, 17, 18, 19

= 17

Your mode:

15 , 16, 17, 18, 19

= No mode (no number comes up repeatly)

Your friend's mean:

(20 + 20 + 13 + 12 + 17) / 5

= 16.4

Your friend's median:

12, 13, 17, 20, 20

= 17

Your friend's mode:

12, 13, 17, 20, 20

= 20

b. Comparing your means, you have the higher mean

3) Dante bought groceries at Wegmans last weekend. His total was $50.24. The tax rate in Fredericksburg is 5,5%. How much did Dante actually spend at Wegmans?​

Answers

For tax you add total cost times percent of tax in decimals.
Ex: 50.24*0.055=2.7632
50.24+2.76=$53.00
Answer: 53 dollars

A raffle sold 2,000 tickets. What is the theoretical probability of NOT having the winning ticket? P(NOT winning ticket) =

Answers

Answer:

0

Step-by-step explanation:

you dont own any tickets, so how can you have any probability of winning? 2000 other people, or at least 2000 other tickets are owned by other people than you.

Last week, Kip went to the fair. It costs $4.59 to enter the fair and $1.25 per ticket. In the equation below, x represents the number of tickets Kip bought, and y represents the total amount Kip spent. y = $1.25x + $4.59 If Kip spent $23.34 at the fair, how many tickets did he buy? A. 12 B. 15 C. 22 D. 19

Answers

Answer:

B.) 15

Step-by-step explanation:

Fist you want to plug in 23.34 as your Y. Next you want to subtract 4.59 from 23.34. Finally, to get the variable alone, divide the answer you got from subtracting by 1.25.

Here is a system of linear equations
2x+3y=14
4x-3y=10

Which would be more helpful for solving the system: adding the two equations or subtracting one from the other?

Answers

Subtracting the two equations

Answer:

Adding the two equations

Step-by-step explanation:

2x+3y=14

4x-3y=10

_________

6x-0y=24

6x=24

x=4

see na too simple, u can find y using x=4 in any equation

Which of the following can be found by using a line plot?
Orange
O mode
hogy
median
mean

Answers

Answer:

range, mode, median, and mean can be found using a line plot

Step-by-step explanation:

mark me the brainliest

1. An unknown number of liters of mixture containing 6% boric acid is to be mixed with 2 liters of
a mixture which is 15% boric acid. The new solution created is to be at a concentration of 12%
boric acid. How much of the 6% solution must be used? Show all work.

Answers

Answer:

0.4

Step-by-step explanation

2/0.15+x/0.06=x+2/0.12

30=x/0.12+2/0.12

1.6+2x=x+2

x=0.4

I need help on this question so if u actually can answer it correctly and show how you got it that would be helpful thx

Answers

[tex] \rm \looparrowright - \frac{1}{4} (8 - 4 + 20x)[/tex]

Subtract the numbers

[tex] \rm \looparrowright - \frac{1}{4} (4+ 20x)[/tex]

Factor out 4 from the expression

[tex] \rm \looparrowright - \frac{1}{ \cancel4} \times \cancel4(1 + 5x)[/tex]

[tex] \rm \looparrowright - (1 + 5x)[/tex]

When there is a - in front of an expression in parentheses, change the sign of each term in the expression to -

[tex] \rm \looparrowright - 1 - 5x[/tex]

Thus, Options A and F are correct!!~

What type of figure is shown?

The base of the figure is a ___________
A: Prism
B: Rectangle (wrong)
C: Triangle

Answers

Answer:

1. triange  2. trangle prism

Step-by-step explanation:

Bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly $384 in interest after 3 years. How much money should he deposit?
A.
$80
B.
$8,000
C.
$6,144
D.
$800

Answers

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$384\\ P=\textit{original amount deposited}\\ r=rate\to 1.6\%\to \frac{1.6}{100}\dotfill &0.016\\ t=years\dotfill &3 \end{cases} \\\\\\ 384 = P(0.016)(3)\implies \cfrac{384}{(0.016)(3)}=P\implies 8000=P[/tex]

If 2x/2y= 16, what is x-y

Answers

Answer:

15

Step-by-step explanation:

2x/2y = 16

First, we can cancel out the 2s as there is one on the numerator and another on the denominator.

x/y = 16

To make it fraction form, we know that 16 = 16/1.

x/y = 16/1

We then get x and y.

x = 16

y = 1

x - y = 15

..........................................

Answers

Answer:

.................................

Please help me do #4

Answers

Step-by-step explanation:

I solved it by steps...

I hope you understand...

Estimate. About how many groups of 25 are in 95? How do you know?

Answers

Only 3 groups of 25 are in 95 because if you multiply 25 and 3 you get 75 but if add another 25 to 75 you will get 100 which is over 95

Which of the following numbers can be expressed as repeating decimals? 4/7, 2/5, 7/8, 4/9

Answers

Answer:

4/7 & 4/9

Step-by-step explanation:

4/7 <-------- repeating decimal/rational4/9 <-------- repeating decimal/rationalNumbers with a repeating pattern of decimals are rational because when you put them into fractional form, both the numerator a and denominator b become non-fractional whole numbers. ------------------------------- 4/9A repeating decimal is a decimal number that goes on forever. We want to know if the decimal number you get when you divide the fraction 4/9 (4 ÷ 9) is repeating or non-repeating.Here are the steps to determine if 4/9 is a repeating decimal number:1) Find the denominator of 4/9 in its lowest form.The greatest common factor (GCF) of 4 and 9 is 1. Convert 4/9 to its simplest form by dividing the numerator and denominator by its GCF:4 ÷ 1/ 9 ÷ 1 = 4/9Thus, the denominator of 4/9 in its lowest form is 9.2) Find the prime factors of the answer in Step 1.The prime factors of 9 are all the prime numbers that you multiply together to get 9. The prime factors of 9 are:3 x 33) Determine if 4/9 is repeatingA fraction is a repeating decimal if the prime factors of the denominator of the fraction in its lowest form do not only contain 2s and/or 5s or do not have any prime factors at all. This is the case here, which means that our answer is as follows:4/9= repeating------------------------------------------ 4/7A repeating decimal is a decimal number that goes on forever. We want to know if the decimal number you get when you divide the fraction 4/7 (4 ÷ 7) is repeating or non-repeating.Here are the steps to determine if 4/7 is a repeating decimal number:1) Find the denominator of 4/7 in its lowest form.The greatest common factor (GCF) of 4 and 7 is 1. Convert 4/7 to its simplest form by dividing the numerator and denominator by its GCF:4÷1/7÷1=4/7Thus, the denominator of 4/7 in its lowest form is 7.2) Find the prime factors of the answer in Step 1.The prime factors of 7 are all the prime numbers that you multiply together to get 7. The prime factors of 7 are:73) Determine if 4/7 is repeatingA fraction is a repeating decimal if the prime factors of the denominator of the fraction in its lowest form do not only contain 2s and/or 5s or do not have any prime factors at all. This is the case here, which means that our answer is as follows:4/7= repeatingTherefore, the fraction 4/7 and 4/9 can be represented as repeating decimals.

Evaluate the expression

9^4 x 9^-4

(Problem 8 in photo. Thank you!)

Answers

Answer:

1

Step-by-step explanation:

using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]  , [tex]a^{0}[/tex] = 1 , then

[tex]9^{4}[/tex] × [tex]9^{-4}[/tex]

= [tex]9^{(4+(-4))}[/tex]

= [tex]9^{(4-4)}[/tex]

= [tex]9^{0}[/tex]

= 1

Please help me ASAP

How many solutions are there to this system of equations?


tyy!

Answers

Answer:

looks like 2

Step-by-step explanation:

Points where two lines cross are solutions they share

2 solutions is the answer

(a+4)^(2)-(a-1)^(2) please solve this rn please i need it

Answers

Answer:

10a + 15

Step-by-step explanation:

(a+4)^(2)-(a-1)^(2)

(a+4)^(2)

(a+4)(a+4) = (a^2 + 8a + 16)

(a-1)^(2)

(a-1)(a-1) = (a^2 -2a + 1)

(a^2 + 8a + 16) - (a^2 -2a + 1)

a^2 + 8a + 16 - a^2 +2a - 1

10a + 15

What is the the decimal equivalent of 1/-4​

Answers

Answer:

Step-by-step explanation:

1 / -4 = -0.25
(excuse my bad mouse drawing)

If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a six?

I need a whole number btw.

Answers

Answer: Theoretically, 1 time

Anuar has a collection of 80 toy vehicles. 3/5 of his toy vehicles are cars. The rest are motorcycles and buses. The number of motorcycles is 3 times the number of buses. How many toy motorcycles does Anuar have?

Answers

Answer:

He has 24 motorcycles

Step-by-step explanation:

I hope I could help!

Answer:

36 motorcycles

Step-by-step explanation:

calculate [tex]\frac{3}{5}[/tex] of 80

= [tex]\frac{3}{5}[/tex] × 80 ( cancel 5 and 80 by 5 )

= 3 × 16 = 48

there are 48 motorcycles and buses

let x be the number of buses then 3x is the number of motorcycles , then

x + 3x = 48

4x = 48 ( divide both sides by 4 )

x = 12

number of motorcycles = 3x = 3 × 12 = 36

Can the sides of a triangle have lengths 2.8, 19.1, and 19.4?

Answers

Answer:

Step-by-step explanation:

Yes

You almost have an isosceles triangle. The lengths of the longest line segments differ by by 0.3. So the base of the triangle is 2.8 and the long segments are connected to each other and each of them at end of 2.8

A car travels at a speed of 65 miles per hour. How far will it travel in 5 hours?

Answers

Answer: Distance = 325 miles

Step-by-step explanation:

Distance = speed*time

We can plug in the values given for time and speed:

Distance = 65 miles/h * 5 hours

Distance = 325 miles

Answer:

325 miles

Step-by-step explanation:

To find out how far the car will travel in 5 hours, we first need to know how far it will travel in one hour.

Well, we are given that information.

Since we know that the car travels 65 miles in 1 hour, we just have to multiply 65 by the number of hours it will drive, which is 5 in this case.

5 x 65 = 325

The car will drive 325 miles in 5 hours.

30 POINTS + BRAINLEST TO FIRST CORRECT EXPLAINED ANSWER!
Please make sure to answer all parts of the question. Answer if the equation is right, and how to solve. Thank you!

Answers

Answer: Yes, you can find the original price of the
phone case. The phone case was $560

What is the principal solution to the equation?


x^2=121

Pls explain for brainliest and a like
1.step by step
2. correct answer
3. clearly explained

Answers

First step: x= ± √ 121
Second step and correct answer: x= ± 11

Because: x^2 = x= ± √

Find the measure of the missing angle .

Answers

Answer:

c = 99 and b = 81

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