While making a sketch for art class, Justin drew the shape shown and then wanted to make sure the triangles were perfectly congruent. After labeling the figure, he used a ruler and found that DF and GE bisect each other at point H.
Which of the following could Justin use to prove ∆DEH ≅ ∆FGH?
A. SAS
B. SSA
C. definition of perpendicular bisector
D. alternate interior angles are congruent
Answers
The two triangles have a pair of corresponding sides as well as the
included angles between them that are equal.
Justin could prove that ΔDEH ≅ ΔFGH by A. SAS
Reason:
The known information are;
DF bisects GE, therefore; GH = EH
GE bisects DF, therefore; DH = FH
∠DHE = ∠FHG by vertical opposite angle theorem
Therefore;
DH and EH in triangle ΔDEH = FH and GH in triangle ΔFGH
∠DHE in triangle ΔDEH = ∠FHG in triangle ΔFGH
Therefore, two sides and an included angle triangle in ΔDEH are equal to (congruent) to the corresponding two sides and an included angle in ΔFGH.
Therefore;
ΔDEH ≅ ΔFGH by SAS, Side-Angle-Side congruency theorem
Learn more here:
https://brainly.com/question/14418374
The answer would be SAS
Step-by-step explanation: SAS
Related Questions
QUICK brainiest ASAP! ive been posting this over and over for days and no response what's up with brainy these days?? Use a trigonometric ratio to find the measure of θ in the triangle below. Give your answer to the nearest degree. You may use the trigonometric functions of the Desmos scientific calculator: SHOW ALL YOUR WORK so I can see if the answer makes sense!
Answers
Answer:
64 degrees
please mark brainliest
Step-by-step explanation:
[tex] \sin( \alpha ) = \frac{opp}{hyp} \\ \sin( \alpha ) = \frac{9}{10} \\ \alpha = { \sin }^{ - 1} ( \frac{9}{10} ) \\ \alpha = 64.15 \\ \alpha = 64[/tex]
Find the value of x.
Answers
Answer:
Step-by-step explanation:
bring the varible to the left side and bring all of the remaining values to the right
Answer:
x=2.5
Step-by-step explanation:
because 4x-2=2x+3
4x-2x=3+2
2x=5 divide both by 2 it gives 2.5
give me brainlist please
For the school fundraiser, 322 students at an elementary school each sold 16 raffle tickets. Each raffle ticket was sold for $4 each. How much money was collected for the raffle tickets sold by the students
Answers
Answer:
20,608 dollars
Step-by-step explanation:
16 x 4 = 64 was made for each student
64 x 322 = 20,608 dollars
Answer:
$20,608
Step-by-step explanation:
Because 322 * 16 = 5152 tickets
5152 * 4 = 20608
Which table represents a linear function.
Answers
Answer:
The third table represents a linear function
Step-by-step explanation:
The first table is not a function
The second table is not linear
The fourth table is not a function
You have $190 to buy 8 model trains for
your train collection. Write and solve an
inequality that represents the prices you
can pay per train.
Answers
Answer:
8x; x ≤ $23.75
Step-by-step explanation:
You have to buy 8 trains with 190 dollars. You can't use more money or have more trains.
8x ≤ 190
Divide by 8 on both sides.
x ≤ $23.75 per train
Your welcome!
Kayden Kohl
8th Grade Student
I need help with this Trig Problem Asap
Answers
Answer:
Step-by-step explanation:
A function is one-to-one if it passes the horizontal line test. This is the case if a horizontal line intersects the graph in only one place.
The graph of f(x) = x^2 - 5 is that of a parabola that opens upward. There are several possibilities here:
1. The horizontal line intersects the parabolic graph twice on the interval (-infinity,+infinity). Therefore this function is not one-to-one on this interval
(-infinity,+infinity).
2. If we define the domain as [0,+infinity), a horizontal line will intersect this parabolic graph only once. Therefore this function is one-to-one on [0,+infinity).
Can someone please help me with one of these problems? If you can do both, it'd be even better. Thanks!
Answers
Answer:
4:3
Step-by-step explanation:
that means red:yellow
I HOPE IT HELPED YOU
MARK ME AS BRAINLIST
BRAINLIEST TO WHO EVER ANSWERS
Answers
Answer:
See below
Step-by-step explanation:
f(x) = -2x + 2
Put x = 1
f(1) = -2(1) + 2
f(1) = -2 + 2
f(1) = 0
Put x = 0
f(0) = -2(0) + 2
f(0) = 2
Put x = -1
f(-1) = -2(-1) + 2
f(-1) = +2 + 2
f(-1) = 4
Put x = 2
f(2) = -2(2) + 2
f(2) = -4 + 2
f(2) = -2
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807PLZZ HELP ME i really need help
Answers
Answer:
1
Step-by-step explanation:
the function is y=x+1
Need help fast 1 question
Answers
Answer:
H
Step-by-step explanation:
What is the missing value?
Answers
Answer:
1
Step-by-step explanation:
1 : -7
2 : -5 ( -7 + 2 )
3 : -3 ( -5 + 2 )
4 : -1 ( -3 + 2 )
5 : 1 ( -1 + 2 )
Hopefully this helps!
Brainliest please?
you plan to ride your bike to school and back at an average rate of 6 miles per hour for a distance of 10.5 mile how long will it take you
Answers
Answer:3[tex]\frac{1}{2}[/tex] hours
Step-by-step explanation:
You plan to go a total distance of 21 miles. At 6 miles per hour it takes you
[tex]\frac{21}{6}[/tex] hours or3 and [tex]\frac{3}{6}[/tex] which equals 3 and 1/2 hours
You don’t need to answer all of them but !!!! Find the measure of the indicated angle that makes lines u and v parallel. Plzzzzz! U DONT HAVE TO DO ALL OF THEM
Answers
Answer: 13) 90 degrees, 14) 137 degrees, 15) 93 degrees 16) 96 degrees
Step-by-step explanation:
Answer:
13) ?=90°
14) ?=180°-48° (int angles, u//v)
=132°
15) ?=93° (alt angles, u//v)
16) ?=96° (alt angles, u//v)
32i-4+2=6-42i-3 help
Answers
PLEASE HELP AND PLEASE MAKE YOUR EXPLANATION DETAILED!!!
if y=28 when x= 168, find y when x =108.
Answers
Answer: oke we give y=a*x
Step-by-step explanation:a=[tex]\frac{1}{6}[/tex]
[tex]\frac{y}{108}[/tex]=[tex]\frac{1}{6}[/tex]
=>y =18
what is 0.95 as a simplified fraction?
Answers
Answer:
19/20
Step-by-step explanation:
A "simplified fraction" in this case is the ratio of two integers.
0.95 = 95/100 (the ratio of two integers), which in turn can be simplified:
95/100 = 19/20
If a 1/4 gallon of paint covers a 1/6 of a wall continuing at this rate how much paint is needed for the entire wall
Answers
Answer:
1 1/2 gallons
Step-by-step explanation:
1/4 * 6 = 6/4 = 3/2
1/6+1/6+1/6+1/6+1/6+1/6 = 1 whole wall
that means it takes 6 times 1/4 gallon to finish the wall
Miguel has $25. He spends $7.75 on a movie ticket, $3.65 for snacks, and $1.75 for bus fare each way.
How much money does Miguel have left?
Miguel has $
left.
Answers
Answer:
He will have $10.10 left !
Step-by-step explanation:
Work in photo !
Determine the value of x.
Answers
Answer:
Step-by-step explanation:
find a number that can go into 30 and go and then what ever you get multiply it with five and X will be your answer
Mr. Salinas is packing lunches in 3 ice chests. There are 20 sack lunches in each ice chest. 40% of all the sandwhiches are turkey. How many of the sack lunches contain a turkey sandwich?
Answers
Answer:
Step-by-step explanation:
20*3
=60
60 of 40/100
=60*40/100
=24sack lunches contain a turkey sandwich
PLZZZ HELPPPP ILL MARK BRAINLIEST TO FIRST AND CORRECT ANSWER THAT HAS WORK AND A THX TO SECOND AND CORRECT ANSWER.
The reciprocal of 5/9 is 3 Times greater than
F. 5
G. 3/5
H. 5/3
J. 1/3
Answers
Answer:
the answer is 5/3.
Step-by-step explanation:
Write an equation of the line containing the given point and parallel to the given line. (6,−5); 7x−9y=4
Answers
Answer:
y = 7/9x - 87/9
Step-by-step explanation:
9y = 7x-4
y = 7/9x - 4/9
-5 = 7/9(6) + b
-45/9 = 42/9 + b
b = -87/9
How many petals p would there be in a group of 11 flowers ? Write an equation to find the unknown. Then find the unknown.
Answers
Answer:
11
Step-by-step explanation:
The required expression that represents the total number of petals is P = n11, where n is the number of petals per flower.
Given that,
To determine how many petals p would there be in a group of 11 flowers.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the number of petals in the single flower is n,
The total number of petals among the 11 flowers is p,
p = n11
Thus, the required expression that represents the total number of petals is P = n11, where n is the number of petals per flower.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ5
what is 100,000-3002
Answers
Answer:
96998
Step-by-step explanation: just minus
he equation of the line of best fit relating age (in years) and the median height (in cm) of boys is given.
y = 6.5x + 75.5
Which statement below best interprets the slope in the context of the problem?
Answers
Answer:
proof: answer is 2/13
1 / 6.5 = m
m = 0.153846154
10/65 = m
m = 2/13
2/13 = m
m = 0.153846154
Therefore we could show multiplication proof
m = 10/65 = m = 2/13
2 x 5 = 10
13 x 5 = 65
Step-by-step explanation:
See attached graph of y = 6.5x+75.5
plotting the graph
1. Mark y intercept at 75.5 as given in the equation
2. find the slope to whole numbers
m = 10 across / 65 across = 6.5 slope
Mapping Pythagoras 10^2 +65^2 = c^2
sqrt 100 + sqrt 4225 = c^2
c^2 = sqrt 4225 = 65.7647322 = 65.8
0.7647322 / 65 = 0.0117651108 = 100th
65 + 0.0117651108 = 65.011765.....
Therefore 10 across / 65.0118 down
or 10 across / 65 down is another way to graph, as seen on graph.
m = 10/65 = m = 2/13
2 x 5 = 10
13 x 5 = 65
}
3) At a restaurant, Imani and her six friends
decided to divide the bill evenly. If each
person paid $12 then what was the total bill?
Answers
Answer:
$84 was the original bill.
Step-by-step explanation:
12 x 7 = 84
Write an equation of the line containing the given point and parallel to the given line.
(2, -3); 2x – 3y = 8
Answers
Answer:
I am not able to see your attachment
answer po plss plss plsss
Answers
Answer:
[tex] - 60[/tex]
Step-by-step explanation:
[tex]( - 1)(5)( - 6)( - 2) \\ ( - 5)( + 12) \\ = - 60[/tex]
Answer:
-60
Step-by-step explanation:
p(-2)=-3+4x help help
Answers
Can someone help me with this I'm confused
Answers
Answer:
bro sorry I can't helpStep-by-step explanation:
follow me mark as brainleast