Yes, and there are actually several methods to do so. One method to ensure congruency is to rotate and translate the triangle onto the other, which does not change the shape or size, only where it is. They perfectly match each other when rotated and translated, showing perfect congruency. Another way to ensure congruency is to find angle lengths/slope. Using the slope formula (rise/run), we can find both slopes (whch is the distance in this case) of each side length of both triangles. The angle lengths and slopes are equal to each other.
Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency.
What is congruence?If two figures are exactly the same in sense of their length side all things then they will be congruent.
If it is possible to superimpose one geometric figure on the other so that their entire surface coincides.
As per the given graph,
Triangle GHI and triangle DEF are plotted.
If we map triangle DEF onto GHI since the length is the same and orientation will become the same so both triangles will coincide with each other.
And it is known that if the length of all sides of a triangle is the same then they will be called a congruent triangle.
Hence"Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency".
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Can someone please help me with solving this maths question?
Answer:
CD = 7
Step-by-step explanation:
Given that the triangles are congruent, then corresponding sides are congruent, that is
CD = AB , substitute values
3y + 1 = 15 - 4y ( add 4y to both sides )
7y + 1 = 15 ( subtract 1 from both sides )
7y = 14 ( divide both sides by 7 )
y = 2
Thus
CD = 3y + 1 = 3(2) + 1 = 6 + 1 = 7
On a coordinate plane, how are the locations of the points (1 , -7) and (1 , 7) related?
A.
reflection across the y-axis
B.
reflection across both axes
C.
locations unrelated
D.
reflection across the x-axis
HELP PLS
BRAINLIST
Answer:
D. Reflection across x-axis
Step-by-step explanation:
When plotting the two points & then connecting the dots, it will not touch y-axis at all - it will be straight line and cross x axis
The equations shown represent two altitudes of a triangle. y = x+1 and y = −2x−1 What are the coordinates of the orthocenter of the triangle?
Answer:
The coordinates of the orthocenter of the triangle is;
(-2/3,1/3)
Step-by-step explanation:
To find the coordinates of the orthocenter, all we have to do is solve for x and y of the given altitudes
We can get this by solving both equations simultaneously
Simply equate the two y’s
x + 1 = -2x-1
x + 2x = -1-1
3x = -2
x = -2/3
To get y, simply substitute into any of the equation, the value of x
y = -2/3 + 1
y = 1/3
Bob’s monthly phone bill is made up of a $10 fee plus $0.05 per minute. Bob’s phone bill for July was $22. Write an equation to model the situation using m to represent the number of minutes. Solve the equation to determine the number of phone minutes Bob used in July.
Answer:
equation: 10 + 0.05x=22
Step-by-step explanation:
the next step after writing the equation would be to subtract 10 from both sides to get 0.05x=12. after this you would then have to divide 12 by 0.05 to get 240 minutes. you could check it by putting 240 in for x to get 10+0.05(240)=22. you would then multiply 0.05 by 240 to get 12 and then add 10 onto it to get 22 which was already given.
9514 1404 393
Answer:
equation: 10 +0.05m = 22
solution: Bob used 240 minutes in July
Step-by-step explanation:
Bob's bill is the total of the fixed fee and the charges based on minutes. The latter is 0.05m, where m is the number of minutes. Hence, Bob's July bill is ...
10 + 0.05m = 22 . . . . . total of charges for July is $22
__
The equation is solved by subtracting the constant and dividing by the coefficient of m.
0.05m = 12 . . . . . subtract 10
m = 12/0.05 = 240
Bob used 240 minutes in July.
if x Multiplied by 7 = 21, what is x
Step-by-step explanation:
Given that x is multiplied by 7 = 21 Then
7 * x = 21
or x = 21/ 7
Therefore x = 3.
Answer:
Solution,
here,
x+7=21
x=21-7
Therefore,x=14
A light bulb consumes 1800 watt-hours per day. How long does it take to consume 6750 watt-hours?
Answer:
I LOST ALL MY POINTS NOOOOOO
Can someone help me with this
Answer:
x=125°
Step-by-step explanation:
180-(25+30)= 125°
hope it helps!
Can someone help me ??
Answer:
(-5,2)
Step-by-step explanation:
i think the picture isn't that good
Answer:
I believe it is [tex]-\frac{5}{2}[/tex]
Step-by-step explanation:
Hope this helps!
What is an equation of the line that passes through the point (-3,1) and is parallel to the line 4x + 3y = 15?
Answer:
y=-4/3x-3
Step-by-step explanation:
The equation of the line that passes through the given point will be equal to (-4/3)x - 3.
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given information in the question,
The given equation is,
4x + 3y = 15
And the point is (-3, 1)
3y = 15 - 4x
y = (-4/3)x + 15
The line has a slope, of -4/3.
Then, use the equation,
B = y - mx
B = 1 - (-4/3 × 3)
B = -3
So,
y = (-4/3)x - 3
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round 0.927 to the nearest hundreth
I beg you to help me .
Answer:
16+3=y
y=19
Step-by-step explanation:
Steph needs to help her parents put a fence around their pool. They want the fence to be square and want each side to measure 6 meters. They already have 10 meters of fencing. How many more meters of fencing should they buy? Choose 1 answer:
Answer:
14 meters
Step-by-step explanation:
Each side of the square fence = 6 meters
Perimeter of the square fence = 4 × length
= 4 × 6
= 24 meters
They already have 10 meters of fencing
How many more meters of fencing should they buy?
= Total meters - available meters
= 24 meters - 10 meters
= 14 meters
PLS HELP ME PLS whats 2x6x8 (5/8)
Answer:
96 5/8?????
if its wrong i sorryyy
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
If you mean multiplying them all, then:
2x6x8=96
5/8=0.625
0.625x96=60
yay its 60
Determine if the point (5, 7) is on the line of
Equation 5x + 6y = 67
Answer: The point (5,7) is on the line 5x+6y = 67
=====================================================
Explanation:
(5,7) means x = 5 and y = 7 pair up
Plug in those values to get...
5x + 6y = 67
5*5 + 6*7 = 67
25 + 42 = 67
67 = 67
We get the same number on both sides after fully simplifying. This means the equation is true. A true equation in the last step means the first equation is true when (x,y) = (5,7).
Therefore, the point (5,7) is a solution and it is on the line 5x+6y = 67.
Each week, high school students can collect a maximum of 347 cans of food for the town food pantry. What is the maximum number of cans that the high school students can collect in 35 weeks?
10,410 cans
10,415 cans
12,145 cans
12,245 cans
Answer:
12,145
Step-by-step explanation:
If 347 cans is the max PER week, and they have 35 weeks, then all we need to do is multiply 347 times 35.
347*35 = 12,145
The max amount of cans they can collect in 35 weeks is 12,145 cans.
Answer: 12,145
Step-by-step explanation:
A business trip will be reimbursed $0.55 per mile. Mr. Jackson has a budget of $70 for the round trip. If he is traveling to a town 61 miles away, then will he be under or over? Prove your thinking.
Answer:
We know Mr. Jackson will have to pay 0.55 dollars per mile and that he's traveling 61 miles, so, if we want to know. how much will he pay, we can multiply the quantity of miles (61) per the cost of these:
0.55 * 61 = 33.55
So we know he will have to pay 33.55 dollars, and, as the travel is round, considering he will travell the same quantity of miles, he will pay twice
33.55 * 2 = $67.10
He has more budget than the needed for the travel
Answer:
Mr. Jackson will be under his budget.
Step-by-step explanation:
We know that Mr. Jackson has a budget of only $70 for the trip. We know that the trip will be reimbursed $0.55 per mile. Mr. Jackson is traveling 61 miles. Therefore, we need to multiply $0.55 by 61.
61 x 0.55 = $35.55
Since $35.55 is less than $70, he will be under his budget.
Hope this helps! :D
i need help!!! will mark brainlist
Alyssa, a grade eight student, was looking through the school newsletter when she saw an ad placed by a local farmer looking for students to pick strawberries. The farmer has offered to pay the students $15.00 for the day plus $3.00 for each quart basket of strawberries they pick. Alyssa decides she wants to earn some extra money and goes out to the farm for one day to pick some strawberries.
For every quart she picks, she adds $ _____
to her total earnings for the day.
How much does Alyssa earn if she picks 0 quarts of strawberries?
$ ____
Answer:
1. She gets $3 per quart she picks.
2. If she picks 0 quartz she will get $15 which is the amount the farmer pays for the day without the bonus money for picking strawberries.
I’ll mark you brainlist I’ll mark you brainlist write in y=mx+b form
Answer:
y=-4x+2
hope this helped
Natalie found a tennis ball outside a tennis court. She picked up the ball and threw it over the 12-foot fence into the court. The height of the ball, h, and time t seconds is given by the equations h(t) = -16t^2 + 18t +5. Will she make it iver the fence?
Answer:
Natalie cannot make it over the fence.
Step-by-step explanation:
After reading the statement, we must demostrate if the following inequation is possible, that is:
[tex]-16\cdot t^{2}+18\cdot t+5 \ge 12[/tex]
After some algebraic handling we find this equivalent expression:
[tex]16\cdot t^{2}-18\cdot t +7\le 0[/tex] (1)
The polynomial is factorized by the Quadratic Formula:
[tex]\left(t-0.563-i\,0.348)\cdot (t-0.563+i\,0.348)\le 0[/tex]
Since all roots are complex, we conclude that Natalie cannot make it over the fence.
A man that is 6 feet tall and casts a 4 foot shadow is standing next to a flagpole. The
flagpole casts a shadow of 10 feet. How tall is the flagpole?
a15ft
b60ft
c24ft
d40ft
Answer:
IM JUNNA HAFT TO SAY IS 60
Step-by-step explanation:
help help help!!!!!!!
Answer:
the 3 dot AC, BC, BA
Step-by-step explanation:
Answer:
Answer answer answer
Step-by-step explanation:
Cody's school is selling tickets to a play. On the first day of ticket sales the school sold 2 adult tickets and 5 child tickets for a total of $38. The school took in $34 on the second day by selling 2 adult tickets and 4 child tickets. What is the price each of one adult ticket and one child ticket?
Answer:
do you still need the answer or no?
t/2 = 9? i need help
Answer:
18/2 =9
Step-by-step explanation:
What is the domain of a cube root function?
A. all integers
B. all positive numbers
C. all real numbers
D. all negative numbers
Answer:
C. All real numbers
Step-by-step explanation:
through: (1, 2), slope = 2
Answer:
y=2x+2
Step-by-step explanation:
Answer: y = 2x
Step-by-step explanation:
y=mx+b
m is the slope. so if the slope is 2 we can fill in 2 for m.
y = 2x + b
now we are going to plug in the point they gave us (1, 2) to find b.
1 is the x coordinate of the point and 2 is the y coordinate. so we put 1 in for x and 2 in for y.
2 = 2(1) + b
2 = 2 + b
b = 0
so our equation is y = 2x + 0, or y = 2x
Please HELP
Which statement is true ??
Answer:
the answer is d(<a=<b)
Step-by-step explanation:
because alternate interior angles are equal
Geometry...Please help as soon as possible please and Thank you!!!
Answer:
I answered the question according to "ASA" Angle, side, angle
.....
Step-by-step explanation:
Note : I'm not a teacher but I'm quite sure about my answer...
Anyway...
If I'm wrong just tell me...
.....
GOOD LUCK... ❤️
what are ratios that are equivalent to 16:12
Answer:
20:15, 24:18, 28:21, etc.
Step-by-step explanation:
Just divide 16 by 12 to get 4/3. Then whatever you multiply to 4, multiply to 3, and get more answers.
Answer:
4:3, 8:6, 12:9, 20:15, 24:18, 28:21, 32:24, 36:27, 40:30 and so on.
Step-by-step explanation:
The denominators are all multiples of 3 and the numerators are multiples of 4.
Alan wants 42 pieces of sweet potato pie for his thanksgiving family dinner. Each pie has 8 slices. How many pies does he need to buy?
Step-by-step explanation:
6 pies. Your buy 5 pies and have 40 slices. So then you buy 1 more pie
✨✨Hope it helps✨✨
✨Brainliest?✨
2p + 3w = 7.25 whats p