In the diagram, AGEF and AHEF are congruent. What is the value of x? A. 60 B. 41 C. 28 D. 30
Answers
Answer: C) 28
Explanation:
The triangles are congruent, so the corresponding pieces are congruent. Specifically the angles on the right side are congruent, as shown by the tickmarks they have in common.
Set those two expressions equal to one another. Solve for x.
2(x+2) = 60
2x+4 = 60
2x = 60-4
2x = 56
x = 56/2
x = 28
The correct value of the variable x is,
⇒ x = 28
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In the diagram,
ΔGEF and ΔHEF are congruent.
Hence, We can formulate;
⇒ 2 (x + 2) = 60°
⇒ 2x + 4 = 60
⇒ 2x = 60 - 4
⇒ 2x = 56
⇒ x = 28
Thus, The correct value of the variable x is,
⇒ x = 28
Learn more about the triangle visit;
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Related Questions
A bag contains 3 red marbles and 5 blue marbles.
Find the probability of drawing a blue marble,
keeping it, and drawing another blue marble. Write
the probability as a fraction in simplest form.
Answers
If J M = 9 and K M = 4 , what is the approximate perimeter of Δ J K L ? 26.2 26.2 29.8 29.8 31.0 31.0 31.7
Answers
Answer:
Correct option is (a)
Step-by-step explanation:
According to question in the triangle ΔJKL
JK = 9 and KL =4
according to the condition of triangle sum of two sides must be greater than the third side
Here sum of its two sides is 9 + 4 = 13
⇒ third side must be greater than 13 say 13.2 = JL
therefore, perimeter of triangle ΔJKL is
JK + KL + JL = 9 + 4 + 13.2 = 26.2
Therefore correct option is (a)
the two triangles shows the congruent ABC LMN. based on this information which of the following is a true statement
Answers
Answer:
It's D I think.... Line up B and C with M,N
What is the answer to
5p+8 = 7p+2
Answers
Answer:
p = 3
Step-by-step explanation:
5p+8 = 7p+2 (subtract boths sides by 2 and 5p)
6 = 2p (Divide both sides by 2)
p = 3
Answer:
p=3 hoped this helped........
I need help, I’ve been trying to figure out answers and I’m not getting anywhere is there anyone who could help me with (work shown)
Answers
Answers is A
What is this answer?
Answers
Answer:
The answer is (-1,-10)
hope this helps
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
D. (-1, -10)
Step-by-step explanation: I put your question into a math calculator and got this as your answer. Good luck!
On Monday, Vanessa and Ishaan decided to see how fast they could sprint 200 meters. They asked their friend, Luis, to time them with a stopwatch.
Vanessa sprinted first and ran 200 meters in 54.91 seconds. When it was Ishaan's turn, he sped off and completed the run in 46.07 seconds.
How much faster was Ishaan than Vanessa?
Answer: seconds faster
Answers
Answer:
22
Step-by-step explanation:
Andre says that 1/4 is less than -3/4 because, of the two numbers, 1/4 is closer to 0. Do you agree? Explain your reasoning.
Answers
Answer:
Andre is wrong
Step-by-step explanation:
Andre is wrong because 1/4 is a positive number and -3/4 is a negative number so that makes Andre wrong for that, but if it is who is closer to 0 then Andre is right because when you look at it on a table you can see that 1/4 is closer.
PLEASE ANSWER I NEED HELP
Kayla gets paid $15 to rake the lawn. Kayla gets paid 3 times as
much to rake the lawn as she does to mow the lawn. How much
does Kayla get paid to mow the lawn?
Answers
Answer:
$5
Step-by-step explanation:
The opposite of multiplication is division.
$15/Raking = 3 times more pay than mowing the lawn.
Divide $15/Raking by 3 and you'll get the pay for mowing the lawn.
15/3 = 5
Answer:
5
Step-by-step explanation:
find an equation in standard form of a parabola passing through the points below
(1,-1),(5,31),(6,44).
Answers
Answer:
Basic parabola: y = ax2 + bx + c
We have 3 points we can plug in for (x, y) to create 3 simultaneous equations
(-2, 24): 24 = 4a - 2b + c {equation 1}
(3, -1): -1 = 9a + 3b + c {equation 2}
(-1, 15): 15 = a - b + c {equation 3}
Solve this system to find the values of a, b, c
Let's first eliminate variable c:
4a - 2b + c = 24 {equation 1}
a - b + c = 15 {equation 3}
--------------------- subtract
3a - b = 9
9a + 3b + c = -1 {equation 2}
a - b + c = 15 {equation 3}
-------------------- subtract
8a + 4b = -16
We now have two equations with 2 unknowns we can use to find a, b
3a - b = 9 {equation 4}
8a + 4b = -16 {equation 5}
Multiply equation 4 through by 4 and add equations
12a - 4b = 36
8a + 4b = -6
----------------- add
20a = 30
a = 30/20
a = 3/2
8a + 4b = -6
8(3/2) + 4b = -6
12 + 4b = -6
4b = -6- 12
4b = -18
b = -18/4
b = -9/2
Plug these 2 values into one of the original equations and solve for c
15 = a - b + c {equation 3}
15 = 3/2 + 9/2 + c
15 = 12/2 + c
15 = 6 + c
c = 15-6
c = 9
y = (3/2)x2 - (9/2)x+ 9
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Step-by-step explanation:
6 boy students make up 24% of the total class how many total students are in class
Answers
Answer:
There are 25 students in the class.
Step-by-step explanation:
1. Set up an equation. The equation would be 6 = 24/100x.
2. Solve the equation. You can solve this by multiplying both sides by 100/24, and 100/24 * 6 = 25. You would then get that x = 25, which means that the number is 25.
Answer:
25 students
Step-by-step explanation:
25 x 0.24 = 6
The lowest temperature ever recorded in the United States was -62 degrees Celsius, in Prospect Creek Camp, Alaska. The average temperature on Mars is about -55 degrees Celsius.
Which is warmer, the coldest temperature recorded in the USA, or the average temperature on Mars? Explain how you know.
Write an inequality to show your answer. Check your work with the video when you are ready.
Answers
Answer:
United States
Step-by-step explanation:
-62 < -55?
Because on the number line, -62 is farther left than -55.
Alex is a stockbroker. Earns % commission each week. Last week, sold $ worth of stocks. How much did he make last week in commission? If he averages that same amount each week, how much did he make in commission in 2011?
Answers
Answer:
a. $896
b. $46,592
Step-by-step explanation:
a. Alex earns 14% of the amount of stock he sells in a week.
The week before he sold $6,400. This means that his earnings in commission are:
= 14% * 6,400
= $896
b. Commission for the year:
If he makes $896 per week, there are 52 weeks in a year. Per year he would make:
= 896 * 52
= $46,592
Evaluate:
(15 +12) -3² = ?
Answers
Answer:
The answer is 8 I think. Hope this helps
Work out the volume of this prism.
20cm
13cm
12cm
30cm
21cm
Answers
0.5 x 21 x 12 x 30 = 3780
please help me please will give brainliest to anyone
Answers
Answer:
D
Step-by-step explanation:
Percent = Part/Whole x 100%
Percent = 1/24 x 100%
Percent = 4% Rounded
A worm squiggles 10 cm in 5 minutes. What was it average speed
Answers
Can you anser the question number 7
Answers
Answer:
Length of rectangle = 64 inches
Width of rectangle = 32 inches
Step-by-step explanation:
Perimeter of rectangle = 192 in
Length = x
Width = [tex]\frac{1}{2}x[/tex]
We need to find the length and width.
The formula used is: [tex]Perimeter\:of\:rectangle=2(Length+Width)[/tex]
Putting values and finding value of x
[tex]Perimeter\:of\:rectangle=2(Length+Width)\\192=2(x+\frac{x}{2} )\\192=2(\frac{2x+x}{2} )\\192=2(\frac{3x}{2} )\\192=3x\\x=\frac{192}{3}\\x=64[/tex]
So, we get x = 64
The length of rectangle x = 64
The width of rectangle = [tex]\frac{1}{2}x[/tex] = [tex]\frac{64}{2} = 32[/tex]
So, Length of rectangle = 64 inches
Width of rectangle = 32 inches
Answer:
Length of rectangle = 64 inches
Width of rectangle = 32 inches
Step-by-step explanation:
f(x) = 2x² + x at (-1, 1)
Answers
Answer:
[tex]f(x) = 2 {x}^{2} + x \\ at \: that \: point \: given \: \: x = - 1 \\ f(x) = 2 {( - 1)}^{2} + ( - 1) \\ f(x) = 2 - 1 \\ f(x) = 1[/tex]
5.Footlocker buys Air Jordans for $30 a pair. They mark it up 75%. How much is the mark-up on a pair of Air Jordans
If you buy a pair of Air Jordans as mentioned in question #5, how much would you end up paying? (Hint: original amount + mark-up amount)
Answers
Answer:
$52.50
Step-by-step explanation:
What you do is you move the decimal two times to the left from 75%.
0.75*?=?
Take the orginal price and multiply ($30) by 0.75.
0.75*30= $22.50
Take 22.50 and add that to your original amount.
$22.50+$30= $52.50 or $52.5
please help fast will mark brainliest
Answers
Answer:
(2,6)
Step-by-step explanation:
Hope this helps!
Answer:
x = 2; y = 6
Step-by-step explanation:
y=3x
x+y=8 [substitute y for 3x]
x+3x=8; 4x=8; x=2
if x=2, y=3x or y=3(2) = 6
I need help with Geometry
Answers
9514 1404 393
Answer:
(5, 1)
Step-by-step explanation:
Reflection across the x-axis negates the y-coordinate:
(x, y) ⇒ (x, -y) . . . . reflection across the x-axis
Rotation 90° CCW is the transformation ...
(x, y) ⇒ (-y, x) . . . . rotation 90° CCW
The two transformations together give ...
(x, y) ⇒ (y, x) . . . . reflection across the x-axis, then rotation 90° CCW
For point B, this gives ...
B(1, 5) ⇒ B'(5, 1)
jacorey works at an animal shelter. He is responsible for 96 dogs and cats today. The number of dogs is six more than twice the number of cats. how many dogs are at the shelter today?
Answers
X=2y+6
X+y=96
Put 2y+6 in for x (the second equation)
2y+6+y=96
Combine like terms and simplify
3y=90
Y=30
Use the second equation to find x changing y into a number
X+30=96
X=66
The number of dogs is 66
If I’m right, can you mark me brainliest please?
Mr.Klein's class is selling candy for a fundraiser. The class has a goal of raising $450 for selling (c) boxes of candy. Each box of candy costs $3.75.
Answers
Answer:
so since their goal is to get $450 and each candy box is $3.75, what you do is divide $3.75 by $450 you will get $120, soooooooooooooooooooooooooooo you times $3.75 by $120 you will get $450.
Step- by-step explanation:
What expression can be used to determine the total cost of buying g pounds of granola for $4.85 per pound and s pounds of sugar for $0.83 per pound?
Answers
Answer:
The expression y = 4.85g + 0.83s can be used to determine the total cost.
Step-by-step explanation:
Given that:
Cost per pound of granola bars = $4.85
Cost per pound of sugar = $0.83
Let,
y be the total cost.
According to given statement;
y = 4.85g + 0.83s
Hence,
The expression y = 4.85g + 0.83s can be used to determine the total cost.
Find the opposite of integer of 10
Answers
Since 10 is positive, the opposite of a posture number is a negative .. so -10
Hey there!
• Fact/ Guide: The OPPOSITE of POSITIVE is NEGATIVE and OPPOSITE of NEGATIVE is POSITIVE, so this makes your answer a NEGATIVE since it’s the OPPOSITE of POSITIVE
• –10 is the OPPOSITE of 10
Answer: –10☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Random Note ⬇️
• NEGATIVES are BELOW 0
• POSITIVES are ABOVE 0
find the value of x.
Answers
Answer:
X= 20 degrees
Step-by-step explanation:
Because all the sides are the same length, we know this triangle is an equilateral triangle. In an equilateral triangle, all the angle measures are the same as well, and the sum of all the angles in a triangle is 180 degrees. So we have the equation:
(3x)3= 180
9x= 180
X =20
What is the value of X what is the measure of 2 PLEASE HELPPP
Answers
Answer:
x = 11 , m∠2 = 31
Step-by-step explanation:
We know that m∠1 is equal to both 6x+8 and 74
Therefore, 6x+8 = 74
And 6x = 66
x = 11
To find m∠2, we just plug in the value of x that we got earlier
(7x-2) + m∠2 = 106
(77-2) + m∠2 = 106
m∠2 = 31
HELP ASAP
simplify the expression-3÷(-2/5)
Answers
Answer:
7.5
Step-by-step explanation:
what is -12.41 - (-9.95)?
Answers
Answer:
-2.46
Step-by-step explanation:
-12.41+9.95=-2.46