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
What is the constant of proportionality in the equation y = 0.41x?
Answers
Answer:
0.41
Step-by-step explanation:
because its 0.41 it cant be reduced or messed with so your answer is 0.41
For what values of m are there 2 different distinct real solutions? Give your answer as an inequality. X^2-2x+m.
I'm not sure, but I think the formula is b^2-4ac>0
Answers
Answer:
m<1
Step-by-step explanation:
If the expression is in the form of [tex]ax^2+bx+c[/tex], then the condition for having 2 different real roots is
[tex]b^2-4ac>0\cdots(i)[/tex].
The given expression is [tex]x^2-2x+m[/tex].
Here, a=1, b=-2 and c=m.
So, by using equation (i),
[tex](-2)^2-4(1)(m)>0[/tex]
[tex]\Rightarrow 4-4m>0[/tex]
[tex]\Rightarrow 4m<4[/tex]
[tex]\Rightarrow m<4/4[/tex]
[tex]\Rightarrow m<1[/tex].
Hence, the condition for the expression [tex]x^2-2x+m[/tex] to have two different real roots is m<1.
a department store credit card advertises no payments for 2 years on purchases what they do not advertise is the interest is compounded continuously for those two years at an annual rate of 19.7 %if you make a purchase for 550 and make no payments for 2 years how much would you owe at the end of those two years
Answers
Answer:
o very easy hahaha I should tell step by step or shortcut
Triangle CDA is the image of triangle ABC after a 1800 rotation around the midpoint of segment AC. Triangle ECB is the image of triangle ABC after a 1800 rotation around the midpoint of segment BC.
Explain why ABCD and ABEC are parallelograms.
Identify at least two pairs of congruent angles in the figure and explain how you know they are congruent.
Explain how to use what you know about the sum of the angles in a triangle to figure out the sum of the angles of quadrilateral ABED.
Answers
1. they both have 2 different congruent sides
2. angles ACD and BEC, since they are the same triangles, and are at congruent ends
3. since they are all the same triangle and has just been rotated some, you can figure out that it is the same triangle. once you figure out the angles for one of the triangles, you can figure outit for the other 2 since they are all congruent.
i hope this helped :)
Solve the proportion 4/5 equals X over 15
Answers
Number of band members beyerhighschool in Orange County
Answers
Answer:
its answer is in high school is ten
guys i need help. who is right in this problem???
Answers
Answer:
brianna is correct
Step-by-step explanation:
Answer:
Brianna is correct for Card number 2.
Step-by-step explanation:
Help me out here...........
Answers
Answer:
false cause if they both were added it would be 2/9ths
Step-by-step explanation:
answer:
JUST READ EXPLANATION!!!
Step-by-step explanation:
well, 1/3 divided by 3 =1/9
yk = m + n
Solve the following equation for k:
Answers
k = m + n / y
8b + 5 + 4 = -23
Need ASAP
Answers
Answer: b= -4
Step-by-step explanation:
8b = -32 so then 32 divided by 8 = -4 so the yeaaaaaaaaasaaaaaaa
the polygon is regular if each of its side has the same length. find the perimeter of the regular polygon.
18, 19, 20
helpp!!!!
Answers
2x = 4
x = 2
perimeter = length of one side x 3
perimeter = [5-2(2)] x 3
= 3
19. 3(x-1) = 5x-6
3x-3 = 5x-6
-2x = -3
x = 1.5
perimeter = [3(1.5-1)] x 5
=7.5
20. 4/3x-⅓ = x+7
4x-1 = 3x+21 (multiply throughout by 3 to get rid of denominator on LHS)
x = 22
perimeter = (22+7) x 6
= 29 x 6
= 174
^ not sure about qn20 because i can’t tell if it’s x+7 or x divided by 7 it’s kinda blurry
What is the image of (−8,2) after a reflection over the y-axis?
Answers
Answer:
8, -2
Step-by-step explanation:
Kara's car used 1/16 gallons
of gas to drive 1/8 of a mile. At
this rate, how many miles can
Kara's car drive using one
gallon of gas?
Answers
1/8*16= 2
Answer= 2 miles
Find the expected value of the
random variable with the
following probability distribution:
Х
2
3
4
5
6
7
8
9
10
11
12
Р
1/36
1/18
1/12
1/9
5/36
1/6
5/36
1/9
1/12
1/18
1/36
[?]
Answers
Answer:
1/36 hope this helps
Step-by-step explanation:
Marla's brainlist pls
Express the radical using the imaginary unit, i.
Express your answer in simplified form.
IV-18 = +
Answers
Answer:
0.79
Step-by-step explanation:
25+30+10+4=79 so 0.79
Answer:
0.79
Step-by-step explanation:
I know because of I got taught a little about this but if I am wrong I'm sooooooo sorry
SINE COSINE TANGENT If someone who acctually understand this could help me por favor :)
Answers
Answer:
here it is, hope it helps
Answer:
Step-by-step explanation:
sin M = [tex]\frac{3\sqrt{11} }{18} = \frac{\sqrt{11} }{6}[/tex]
cos M = [tex]\frac{15}{18} = \frac{5}{6}[/tex]
tan M = [tex]\frac{3\sqrt{11} }{15} = \frac{\sqrt{11} }{5}[/tex]
What is the solution to the equation 3(2x+5) = 3x+4x?
O X=0
O X=4
Ox=5
OX= 15
Answer ASAP will give brainliest to first answer!! (If you didn’t know I half to have 2 people answer before giving brainliest!)
Answers
expand the brackets and collect like terms so 6x+15=7x
then -6x to get x=15
Kara and her friends have $17 to spend at a pizza parlor.they would like to buy large pizza which costs $12 and then add as many toppings as possible if each topping (t) cost 50cents,which inequality describes the maximum number of toppings that the group can purchase?
Answers
Answer:kara Had $17-$12. Pizza cost =leave u with $5 x.50=10topping
Step-by-step explanation:
Show your work: Solve for b, where A is the area of a rectangle, b is the length of the base of the rectangle, and h is the height of the rectangle. Ab h
Answers
Answer:
[tex]b = \dfrac{A}{h}[/tex]
Step-by-step explanation:
Given the formula for calculating the area of the rectangle as;
A = bh where;
b is the length of the base of the rectangle, and;
h is the height of the rectangle
Required
Make b the subject of the formula
Given
[tex]A = bh\\\\divide \ both \ sides \ by \ h\\\dfrac{A}{h} = \dfrac{bh}{h}\\ \dfrac{A}{h} = b\\Re-arrange;\\b = \dfrac{A}{h}[/tex]
Hence the value of b in terms of A and h is expressed as [tex]b = \dfrac{A}{h}[/tex]
-x + 5 + 6x = 1 + 5x + 3
Answers
Answer:
There are no values of
x
that make the equation true.
No solution
Step-by-step explanation:
-x + 5 + 6x = 1 + 5x + 3
Group like terms
-x+6x+5=1+5x+3
Add similar elements:-x+6x=5x
5x+5=1+5x+3
Group like terms
5x+5=5x+1+3
Add the numbers 1+3=4
5x+5=5x+4
Subtract 5 from both sides
5x+5-5=5x+4-5
Simplify
5x=5x-1
Subtract 5x from both sides
5x-5x=5x-1-5x
Simplify
0=-1
The sides are not equal
No Solution
HELP PLZ. ASAP I need an answer.
Answers
Answer:
6.5
Step-by-step explanation:
You can see that the total Coast change from Month 0 to Month 2 by 13$ (35-22= 13). Since these are two month we need to divide them by 2 (13/2= 6.5)
6.5 is the total rate of change per months
4+ -1 2/3 please help
Answers
The sum would end us as: 2.33333333
Answer:
Step-by-step explanation:
step 1: 4+ -1 2/3
Step 2: 4-1 2/3
Step 3 12/3- 5/3 common denominator required during addition or subtraction
Step 4: 7/3 or 2 1/3 simplify
Kaley and Tom both work at Publix as cashiers for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Write an expression that represents the weeks' total wages for Kaley and Tom if h represents the number of hours Tom worked.
Answers
Answer:
7.68h
38.4 + 7.68h
Step-by-step explanation:
Earnings per hour = $7.68
This week Kaley worked 5 more hours than Tom in overtime
h = number of hours Tom worked.
Tom's total earnings for the week = earnings per hour × number of hours
= $7.68 × h
= 7.68h
Tom's total earnings for the week = 7.68h
Kayley's total earnings for the week = earnings per hour × number of hours
He works 5 hours more than Tom in overtime.
Tom = h
Kayley = 5 + h
Kayley's total earnings for the week = earnings per hour × number of hours
= (7.68) × (5 + h)
= 38.4 + 7.68h
Kayley's total earnings for the week =
38.4 + 7.68h
At the candy shop, Ameenah sells chocolate covered raisins, c, for $1.50 per pound, and peanuts, p, for $1.20 per pound. Ameenah wants to make 20 pounds of a mixture of raisins and peanuts that sells for $1.35 a pound. How many pounds of each should she use?
Thanks! :)
Answers
Answer:
10 pounds of raisins and 10 pounds of peanuts.
Step-by-step explanation:
Let c represent the pounds of chocolate covered raisins.
Let p represent the pounds of peanuts.
We know that the raisins cost $1.50 per pound and the peanuts cost $1.20 per pound.
Ameenah wants to make 20 pounds of a mixture of the raisins and peanuts that sells for 1.35 a pound. So, we can write the following expression:
[tex]1.5c+1.2p[/tex]
This represents the cost given c pounds of raisins and p pounds of peanuts.
Ameenah wants to combine c and p to make them 1.35 per pound. In other words, the expression must equal:
[tex]1.5c+1.2p=1.35(c+p)[/tex]
We also know that she wants to make 20 pounds. So, c plus p must total 20. Therefore:
[tex]c+p=20[/tex]
We now have the system of equations:
[tex]\left\{ \begin{array}{ll} 1.5c+1.2p=1.35(c+p) \\ c+p=20\end{array}[/tex]
First, since we know that c+p is 20, we can substitute that into the first equation.
Second, let's subtract p from both side for the second equation to isolate a variable. So:
[tex]c=20-p[/tex]
Let's now substitute this into the first equation:
[tex]1.5(20-p)+1.2p=1.35(20)[/tex]
Distribute:
[tex]30-1.5p+1.2p=27[/tex]
Combine like terms:
[tex]-0.3p+30=27[/tex]
Subtract 30 from both sides:
[tex]-0.3p=-3[/tex]
Divide both sides by -0.3. So, the amount of peanuts needed is:
[tex]p=10[/tex]
10 pounds of peanuts is needed.
This means that 20-10 or 10 pounds of raisins is needed.
Answer:
10 pounds of both raisins and peanuts.
Step-by-step explanation:
A restaurant charges $8 per burger basket ordered. The charles family orders at least 3 burger baskets but no more than 7 burger baskets a week. If x, represents the number of burger baskets ordered the total cost can be represented by f(x) = 8.50x. What is the domain of the function for this situation?
A- 8,32,40,48,56
B- 3,4,5,6,7,
C- 3
D- 8
Answers
Answer:
b
Step-by-step explanation:
Anne's potato salad recipe requires one pound of potatoes for every four people served. How many pounds of potatoes will Anne need to serve 14 people at her picnic?
Answers
Answer:
3.5 pounds for 14 people
Step-by-step explanation:
Given
1 pound = 4 people
Required
Determine the pounds for 14 people
Represent this with x; so, we have:
[tex]1\ pound = 4\ people[/tex]
[tex]x = 14\ people[/tex]
Cross Multiply
[tex]x * 4 = 1 * 14[/tex]
[tex]4x = 14[/tex]
Solve for x
[tex]x = 14/4[/tex]
[tex]x = 3.5[/tex]
Hence, 3.5 pounds for 14 people
Helllpppppppppppppppp please
Answers
Answer:
Step-by-step explanation:
Like terms have the same variables and powers.
1). 6b and [tex]\frac{b}{2}[/tex] = [tex]\frac{1}{2}b[/tex]
5x² and x²
2). 12a² and 4a²
4x³ and 3.5x³
b and [tex]\frac{5}{6} b[/tex]
3). 8x
4). 5a² + 16
5). There are no like terms there.
6). 6b + 5n + 6b + 5n = 12b + 10n
PLEASE HELP ILL GIVE BRAINLIEST!
Answers
2(n+7) = 2n + 14
hence, the answer is C as 2n + 2(7) = 2n + 14 as well
Answer: Image #1: C. Distributuve Property Image #2: A. n + 2(7)
Step-by-step explanation: For Image #1, they used the Distributive Property because the number 3 was (distributed) and multiplied to both x and 7. The equation is saying that 3x + 21 = 42, and that we’re trying to solve for x. For Image #2, the answer is A. n + 2(7) because after you solve the expression, the answer would be 14n. When you look at the four options, (A. B. C. D.), letter A. would be the answer because it equals to 14n.
Please help!!!!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
the best answer may be D because 9/3 =3 3×5=15
1. Show that the vertices A (7, 12) B (4, 7) and C (9, 10) of the triangle is an isosceles
triangle?
2. Show that the triangle whose vertices are A (6,1) B (10,9) and (6,7) is a right
angled triangle and find its area?
Answers
Answer:
A
Step-by-step explanation:
the vertices are also available