M is the midpoint of AD.
Triangles A B M and D C M are connected at point M. Sides A B and C D are congruent. The length of side B M is 3 x + 6 and the length of corresponding side M C is 4 x minus 1.
What value of x will make triangles ABM and DCM congruent?
3
5
7
9
Answers
Answer:
7
Step-by-step explanation:
ΔABM and ΔDCM
4x - 1 = 3x + 6
4x - 3x = 6 + 1
x = 7
Answer:
C. 7
Step-by-step explanation:
Find the diagram to the question attached. Two congruent triangles has all its sides to be equal. This means that the sides of ΔABM will be equal to that of ΔDCM (SSS rule).
Given
BM = 3x+6
MC =4x-1
Since both triangles are congruent, then BM = MC
Next is to get x;
3x+6 = 4x-1
collect like terms'
3x-4x = -1-6
-x = -7
multiply through by -1
-(-x) = -(-7)
x = 7
Hence the value of x that will make triangles ABM and DCM congruent is 7
Related Questions
How to solve 25= 4+ 7x
Answers
Answer: x =3
Step-by-step explanation:
Yul has lunch at a restaurant. If his bill was $14.50 and Yul wants to leave a 20% tip, what is the amount he should leave for the tip? What is the total amount for his meal plus tip?
Answers
Answer:
Yul has lunch at a restaurant. If his bill was $14.50 and Yul wants to leave a 20% tip, what is the amount he should leave for the tip?
Yul should leave 20% tip of
14.50 * 0.20 = 2.9
3x-2(x+5)=14 then x
Answers
3x -2x -10 = 14
x -10 =14
10. 10. add 10 to both sides
x = 24
:)
Answer:
x = 24
Step-by-step explanation:
3x-2(x-5)=14
remove the parentheses using distributive property
3x-2x-10=14
collect like terms
x-10=14
move constant to the right side and change the sign
x=14+10
calculate ( add the numbers together)
x = 24
A logo is made of a square and a semicircle. The square has side lengths of 12 inches. One side of the square is also the diameter of the semicircle. What is the approximate total area of the logo?
Answers
Answer:
The square has side lengths of 22 inches. One side of the square is also the diameter of the semicircle
Step-by-step explanation:
Hopefully its right!
I’m confused?????????
Answers
Answer:
The equation of the line is y - 3 = 2.5(x - 2) ⇒ D
Step-by-step explanation:
The rule of the slope of a line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the lineThe point-slope form of a line is y - y1 = m(x - x1), where
(x1, y1) is a point on the lineFrom the given figure
∵ The line passes through points (2, 3) and (0, -2)
∴ x1 = 2 and y1 = 3
∴ x2 = 0 and y2 = -2
→ Substitute them in the rule of the slope to find it
∵ m = [tex]\frac{-2-3}{0-2}=\frac{-5}{-2}=2.5[/tex]
∴ m = 2.5
→ Substitute the values of m, x1, y1 in the form of the equation above
∵ m = 2.5, x1 = 2, y1 = 3
∵ y - 3 = 2.5(x - 2)
∴ The equation of the line is y - 3 = 2.5(x - 2)
Find the area of the trapezoid.
Answers
2h. According to the trapezoid area formula, the area of a trapezoid is equal to half the product of the height and the sum of the two bases. Area = ½ x (Sum of parallel sides) x (perpendicular distance between the parallel sides). Where, h is the height and b1 and b2 are the parallel sides of the trapezoid. Area= 13.5+9.5=23/2= 11.5x5=57.5cm squared.
Jose can use the rule m(x)=10+3x to find m(x) , the amount of money he will have after a week of doing x additional hours of chores. Evaluate m(20), What does this mean?
Answers
Answer:
70
Step-by-step explanation:
Given:
m(x) = 10 + 3x
where,
m(x) = the amount of money he will have after a week of doing x additional hours of chores
x = additional hours of chores
Evaluate m(20), What does this mean?
m(x) = 10 + 3x
m(20) = 10 + 3(20)
= 10 + 60
= 70
m(20) = 70
m(20) means additional hours of chores is 20
-4(-5+x)>56
??? whats the answer
Answers
Answer:
x < -9
Step-by-step explanation:
-4(-5+x)>56 (given)
20 - 4x >56 (distributive property of inequality)
-4x > 36 (subtraction property of inequality)
x < -9 (division property of inequality)
The sign flips since it was divided by a negative number.
A right triangle with a base equal to 24 in and height equal to 18 in.
Answers
Answer: A= 216
Step-by-step explanation:
Claire wants to build a patio outside her café. The rectangular space outside of Claire's café is three times as long as it is wide. The area of the space is 48 m2. Claire
would like to build a patio with dimensions 3.5 m by 12.5 m in this space. Will it fit? Explain.
pls help
Answers
Answer:
Step-by-step explanation:
It will fit in the space but it won't cover the entire space. the area is 48m2, but the patio in question will cover 43.75 of the 48m2. Also, it stated that the rectangular space is 3 times as long, and the patio is 3.57x as long as the width. So yes, it will fit, but it will not be a picture perfect fit, there will be some obscenities.
Step-by-step explanation:
Let length of space be lm and width be wm.
l = 3w --(1)
lw = 48 --(2)
sub (1) into (2):
3w(w) = 48
3w^2 = 48
w^2 = 16
w = ± 4 (rej -4 since w > 0)
when w = 4, l = 3(4) = 12
Since dimensions of the patio is 3.5m by 12.5m, and the dimensions of the space is 4m by 12m it does not fit
This is a topic known as simultaneous equations. If you would like to find out more / know when and how to use it, you can check out my Instagram page (learntionary)
PLEASE HELP! ILL GIVE YOU BRAINLIEST!
Answers
Answer:
A.
Step-by-step explanation:
It is the final step when doing math like that.
x+2y-z = 9
-2x+y+z= 1
2x-y+2z= -5
Answers
Answer:
I don't understand the first one
Marsha recorded the time it took seven children of different ages to run one lap around the track.
Using the line of best fit, which is closest to the length of time it should take Marsha's 6 year old niece to
run one lap?
A. 190
B. 200
C. 205
D. 210
Answers
Reasoning: There is a 40s difference between the age of 4 and 8 meaning 6 most likely would be in the center of that, which also means it’d be about half of 40. So with that we subtract 20 from 225 and thus giving us the closest length of time it should take Marsha’s 6 year old niece to run one lap, 205s.
Which is greater than 4: (a) 5 or (b) 5?
Answers
Answer:
I think C. is correct
Step-by-step explanation:
Just trust me, I'm smart ;)
Answer:
they both are the same number
Step-by-step explanation:
So I have 4 math problems, whether you choose to answer them or not is your choice. Also thank you if you do answer them. :)
But here they are.
#1 B^-2, solve for b=-3.
#2 (2t)^-4, solve for t=2.
#3 (m - 4)^-5, solve for m=6.
#4 2x^0y^-3, solve for x=7, and solve for y=-4.
The ^ means that there is a square root for that letter or number.
Answers
Answer:
1) 9
2) 256
3) -32
4) -2744
Step-by-step explanation:
Vote you brainiest please help me
Answers
Answer:whole
Step-by-step explanation:
a whole number and a fraction make a mixed number.
help me with question 3 for brainliest
Answers
Answer:
1. y>2x+1
2. The dots and the marked zone over the line indicates that it is a ">"
please answer fast
but i need a correct
answer
Answers
Answer:
Step-by-step explanation:
11/20ths
Put these amounts of money in order smallest to largest
£1.32 £1.23 £1.03 £3.21 £3.12
Answers
Answer:
£1.03, £1.23, £1.32, £3.12, £3.21
Step-by-step explanation:
Abdul made $252 for 12 hours of work.At the same rate,how many hours would he have to work to make $105
Answers
Answer:
5 hours
Step-by-step explanation:
252 divided by 12= 21
21x5=105
need help with another HW assignment.
Answers
5x - 2y = -26
-7x + 4y = 40
Show your work?
Answers
Answer:
x = -4, y = 3
Step-by-step explanation:
In one equation (let's use the top one), solve for one of the variables (let's solve for y first).
5x - 2y = - 26 --> -2y = -5x - 26 --> y = (5/2)x + 13
Now, substitute ((5/2)x + 13) in for y in the second equation.
-7x + 4((5/2)x + 13) = 40 --> -7x + 10x + 52= 40 --> 3x = -12 --> x = -4
Then, subtitute that in to one of the equations.
5(-4) - 2y = -26 --> -20 - 2y = -26 --> -2y = -6 --> y = 3
Kyle plans to make 15 hamburger patties, each weighing 14 pound, for a cookout. At the store, hamburger meat is priced at $3.66 per pound. If Kyle orders the exact amount of meat he needs, how much will it cost, rounded to the nearest cent?
Answers
Answer:
Total cost= $768.66
Step-by-step explanation:
Giving the following information:
Production= 15 units
Standard quantity= 14 pounds per unit
Standard cost= $3.66 per pound
First, we need to calculate the total pounds required to make the hamburgers:
Total pounds= 14*15
Total pounds= 210 pounds
Now, the total cost:
Total cost= 210*3.66
Total cost= $768.66
please help meeeeeeeeee
Answers
Answer:
FRACTION DECIMAL PERCENT
3/100 0.03 3%
3/2 1.5 150%
13/20 0.65 65%
2/3 0.6667 66.67%
How many minutes of calling time do the plans cost the same amount ?
Answers
.15*200 = 30+45= Plan A= $75
.25*200= 50+25= Plan B= $75
Answer is D
Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?
Select each correct answer.
(−3, 3)
(7, 0)
(−1, −6)
(11, 3)
Answers
I’m pretty sure if people can explain then there is your explanation but I don’t know how to explain CORRECTLY. But the ANSWER IS (7,0)
Explanation: 3(7)-4(0)=21
21-0=21 ✅
Explanation: 3(11)-4(3)=21
33-12=21 ✅
Both of these are true!
Please tell me how to do this geometry problem
Answers
Answer:
See attachment
Step-by-step explanation:
The angles are congruent which means that the triangles are congruent.
WXY ~~ WZY
ABCD is a rhombus. Solve for x, if m AFB
(16x + 6)
B
F
D
C
Answers
In a certain Algebra 2 class of 28 students, 7 of them play basketball and 5 of them
play baseball. There are 18 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
Answers
The land John owns covers an area of 2.17 x 104 square miles. The land Sam owns covers an area of 5.34 x 103 square miles. About how many times greater is the area owned by John than the area owned by Sam?
Answers
Answer:4.064 times
Step-by-step explanation:
Step 1
Area of Land owned by John =2.17 x 104 square miles
Area of Land owned by Sam= 5.34 x 103 square miles.
When we say about how many times is a quantity greeter than the other we mean that how much is the smaller quantity contained in the larger quantity. and in such cases, we divide.
Area of Land owned by John/Area of Land owned by Sam
=2.17 x 104 square miles/ 5.34 x 103 square miles
=21,700 square miles /5,340 square miles
=4.064 times
Therefore we say that John's owns an area of land by 4.064 times Sam's land.