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
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
Calculate the shortest distance between P and Q.
Answer:
10.6 cm
Step-by-step explanation:
Shortest distance between P(3, -1) and Q(-5, 6) using [tex] PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Plug in the values
[tex] PQ = \sqrt{(-5 - 3)^2 + (6 -(-1))^2} [/tex]
[tex] PQ = \sqrt{(-8)^2 + (7)^2} [/tex]
[tex] PQ = \sqrt{64 + 49} [/tex]
[tex] PQ = \sqrt{113} = 10.6 [/tex] (1 d.p)
Every ride at the country fair costs the same amount. The cost of one ride is $2.25. The fair entry fee is $6.50. Lupe paid the entrance fee and rode 7 rides. How much did Lupe pay in all?
Answer:
$22.25Step-by-step explanation:
Step one:
given data
we are told that the cost of one ride is $2.25
the entry fee= $6.5
the linear function for the situation is represented by the equation of line
y=mx+c
Step two:
let x be the number of ride
given that x=7
substituting we have
y=2.25(7)+6.5
y=15.75+6.5
y=22.25
In all Lupe we have to pay $22.25
On Dan's eReader 2/3 of the books are fiction. Of the fiction books, 4/5 are mysteries. What fraction of the books on Dan's eReader are mysteries?
1 point
A. 4/5
B. 8/15
C. 2/3
D. 4/6
Answer:
4/6
Step-by-step explanation:
hope this helps you
Neil bought 4 baseballs for a total of $15.25. If the baseball were the same cost, about how much did each baseball cost?
$3.00
$64.00
$4.00
$3.81
Answer: your answer is $74.81 and you are welcome
Step-by-step explanation:
$3.00 +$64.00 + $4.00 +$3.81 = $74.81
When completing an online shopping transaction, a typical shopper takes 5 seconds to select each product and another 28 seconds to complete the check-out process. If it takes 48 seconds to complete a transaction, how many products are being purchased? If it takes 80 seconds to complete a transaction, how many products are being purchased?If it takes 80 seconds to complete a transaction, how many products are being purchased? If it takes 80 seconds to complete a transaction, how many products are being purchased? If it takes 80 seconds to complete a transaction, how many products are being purchased? If it takes 48 seconds to complete a transaction, how many products are being purchased?
Answer:
a) 4 products
b) 10 products
Step-by-step explanation:
When completing an online shopping transaction, a typical shopper takes 5 seconds to select each product and another 28 seconds to complete the check-out process.
For 1 product, the total time =
5 seconds + 28 seconds = 33 second.
We can derive an equation
Total time of transaction = 5x + 28
Where x is the number of products you are selecting
a) If it takes 48 seconds to complete a transaction, how many products are being purchased?
Total time = 5x + 28
48s = 5x + 28
5x = 48 - 28
5x = 20
x = 20/5
x = 4 items
b) If it takes 80 seconds to complete a transaction, how many products are being purchased?
Total time = 5x + 28
80s = 5x + 28
5x = 80 - 28
5x = 52
x = 52/5
x = 10 items
In whole number = 10 items
What makes math word problems challenging for you? If word problems are not hard for you, explain what you do to solve them.
Well.
Step-by-step explanation:
For me, typically I dont read the question properly and do the math wrong. Other moments I cant even figure out what exactly the question is even asking.
Step-by-step explanation:
You can try to read the word problem once first (no need to be really through just need to get an idea of what's really happening), and then read again, now a little more through, where you need to understand what the question wants of you. Once you understood the question, relate it to the topic you have learnt and see if there's any formula in this topic that you have been taught. If there is, keep all of these formulas in mind. If there isn't then it's good just search for all the numbers given in the question and form and equation in it or just solve. If there may be formulas involved, try relate the question/info given to the formulas you have in your head and yeah
Seventeen out of 20 teens said they eat breakfast every morning. What is the reasonable prediction for the number of teens out of 1,280 who eat breakfast every morning?
A.
340
B.
940
C.
1088
D.
1260
Answer:
The correct answer is C. 1088
1. If g(x)= 4(3)* then g(-2)= ?
Help please
Answer:
-8
Step-by-step explanation:
Assuming that the in parentheses is what we are supposed to change (3)..We would replace the three with the negative two this means that we will solve for four times -2 which equals -8.Hope this helps!
PLZ ANSWER WILL GIVE BRAINLIST 15 POINTS AND PLUS THREE FOR CORRECT ANSWER!!!!!!
Answer:
22
Step-by-step explanation:
just simple deduction
if g(x)=3x-1 and if g(x)=7, then which of the following is the value of x
Answer:
g(x)=3x-1=7<=> 3x=8<=> x=8/3Answer:
The value of x will be 8/3
Step-by-step explanation:
g(x) = 3x-1
3x-1 = 7
3x = 7+1
3x = 8
x = 8/3
Hope that helped :)
Secant and Tangent Angles in circles.
Solve for x.
Answer:
x = 1
Step-by-step explanation:
5x + 17 = 1/2[(73x + 5) - (23x - 5)]
5x + 17 = 1/2[37x + 5 - 23x + 5]
5x + 17 = 1/2[14x + 10]
5x + 17 = 1/2 * 2(7x + 5)
5x + 17 = 7x + 5
5x - 17x = 5 - 17
-12x = - 12
x = - 12/-12
x = 1
A circle is a curve sketched out by a point moving in a plane. The value of x that will make the Secant and Tangent Angles true for the circle is 17/25.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
For the given circle, as per the Secant and Tangent Angles theorem, the measure of the angle formed by two tangents can be written as,
∠WVU = (arc WU + arc WU)/2
5x + 17 = [(37x + 5) + (23x - 5)]/2
2(5x + 17) = (37x + 5) + (23x - 5)
10x + 34 = 37x + 5 + 23x - 5
10x - 37x - 23x = 5 - 5 - 34
-50x = -34
x = 34/50
x = 17/25
Hence, the value of x is 17/25.
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All 40 turkeys are in a pen. 1/4 are sleeping. 1/8 are eating, and 5/8 of them are hiding from the butcher. How many are sleeping How many are eating How many are hiding
Answer:
[tex]Sleeping = 10[/tex]
[tex]Eating = 5[/tex]
[tex]Hiding =25[/tex]
Step-by-step explanation:
Given
[tex]Turkey = 40[/tex]
[tex]Sleeping = \frac{1}{4}[/tex]
[tex]Eating = \frac{1}{8}[/tex]
[tex]Hiding = \frac{5}{8}[/tex]
Required
Determine the number in each category
To solve this, we simply multiply each fraction by the total number of turkey:
[tex]Sleeping = \frac{1}{4} * 40[/tex]
[tex]Sleeping = \frac{40}{4}[/tex]
[tex]Sleeping = 10[/tex]
[tex]Eating = \frac{1}{8} * 40[/tex]
[tex]Eating = \frac{40}{8}[/tex]
[tex]Eating = 5[/tex]
[tex]Hiding = \frac{5}{8} * 40[/tex]
[tex]Hiding = \frac{200}{8}[/tex]
[tex]Hiding =25[/tex]
Same factory has supplies expenses of $1135.78 a day, in addition to the wages above and makes $60,128.72 in one week, what is the factory's total profit or loss in one week?
Given :
Factory has supplies expenses of $1135.78 a day.
Company earns $60,128.72 in one week.
To Find :
The factory's total profit or loss in one week.
Solution :
Expenses of factory of a week :
E =$( 1135.78 × 7 ) = $7950.46 .
Now, profit is given by :
P = $60,128.72 - $7950.46
P = $52178.26
Therefore, total profit of factory in one week is $52178.26 .
Hence, this is the required solution.
6- 4(2r - 5) < 26 - 8r
This is algebra
Answer:
r>1
Step-by-step explanation:
6-4(2r-5)<26-8r do () first
6-8r+20<26-8r subtract 6 from both sides
-8r+20<20-8r Since this is the same on both sides, r>1 to make the equation not come out as 0
For the inequality y < 8 which statement best describes the graph?
There would be a horizontal dotted line on (0,8) and shading would occur below the line.
There would be a horizontal solid line on (0,8) and shading would occur above the line.
There would be a vertical dotted line on (8,0) and shading would occur to the right of the line
There would be a vertical solid line on (8,0) and shading would occur to the left of the line.
Answer:
There would be a horizontal dotted line on (0,8) and shading would occur below the line.
I just took the test and got it right :) hope this helps!
For the given inequality, the best describes the graph is that there would be a horizontal-dotted line on the point (0, 8) and shading occurred below the line. Hence, option A is correct.
What is a graph?In math, graph science is the theory of geometric structures called graphs that are used to represent pairwise different objects. Vertices—also known as nodes or points—that are joined by edges make form a network in this sense.
Undirected graphs, where edges connect two vertices equally, and focused therapy, where edges connect two vertices unevenly, are distinguished.
When the is made, there is the shaded area provided that is made due to intersection of lines and the area below the both the lines and the common that is said to be the shaded area.
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What's the answer of 7/10×4
Answer:
2.8 in decimal form
Step-by-step explanation:
Answer:
Im pretty sure its 2.8
Step-by-step explanation:
4m-3(m +2) what is the answer step by step
Answer:
-1m-6
Step-by-step explanation:
1. Multiply -3*m = -3m
2. Multiply -3* 2 = -6
3. Combine like terms : 4m + -3m = -1m
4. -1m - 6
ASAP answer it please.!!!!!!!!!!!!!!!!!!! thank uuu
Answer:
X=120 and y=10,z=120
Step-by-step explanation:
corresponding angles
thus 120=(13y-10)=x
How to solve 25= 4+ 7x
Answer: x =3
Step-by-step explanation:
What value of x makes the equation 0.25(10x-3)= 1.5(x+2) - 0.75 true?
x= 3
x= 4
x= 3.75
x= 4.25
Answer:
Value of x = 3
Step-by-step explanation:
Given:
0.25 (10 x - 3) = 1.5(x + 2) - 0.75
Find:
Value of x
Computation:
0.25 (10 x - 3) = 1.5(x + 2) - 0.75
2.5 x - 0.75 = 1.5 x + 3 - 0.75
x = 3
Value of x = 3
Answer:
x=3
Step-by-step explanation:
When asked to write the domain for the equation y= |x - 6| + 3, Mary wrote the Domain is y < 3. What mistake(s) did Mary make? Write the correct domain for Mary using inequality notation. Explain to Mary how you found your answer.
Answer:
Ok, the domain is the set of values that we can input in a function.
In this case, we have:
y = Ix - 6I + 3.
Notice that there is no restriction here, x can actually take any value, then the domain will be the set of all real numbers.
The correct domain is x, x ∈ R
Now, if we had (for example) something like:
y = Ix - 6I < 3
Now we have a restriction in the domain because we can not have y equal or larger than 3.
To find the domain, we can break the absolute value:
Ix - 6I < 3
is equivalent to:
-3 < x - 6 < 3
now let's add 6 in each side.
-3 + 6 < x - 6 + 6 < 3 + 6
3 < x < 9
That will be the domain in that case.
An amount P at 6% for 5 years compounded monthly increased to $15000.00. What is P? (Round answer to cents)
Zachary purchased a computer for $1200 on a payment plan three months after he purchased a computer his balance was $795. six months after he purchased a computer his balance was $390 what is the equation that models the balance y after X months
help plz or my teacher will give me a zero
Answer:
Variable x = $2.39 ⇒ price of 1 pound of cashews
Variable y = $1.79 ⇒ price of 1 pound of peanuts
Step-by-step explanation:
Assume that the price of each pound of cashews is $x and the price of each pound of peanuts is $y
∵ The price of 1 pound of cashews = x
∵ The price of 1 pound of peanuts = y
∵ 5 pounds of cashews and 8 pounds of peanuts cost $26.27
∴ 5x + 8y = 26.27 ⇒ (1)
∵ 7 pounds of cashews and 4 pounds of peanuts cost $23.89
∴ 7x + 4y = 23.89 ⇒ (2)
Now we have a system of equations to solve it
→ Multiply equation (2) by -2 to make the coefficients of y equal
in values and different in signs
∵ -2(7x) + -2(4y) = -2(23.89)
∴ -14x - 8y = -47.78 ⇒ (3)
→ Add equations (1) and (3) to eliminate y
∵ (5x + -14x) + (8y + - 8y) = (26.27 + -47.78)
∴ -9x = -21.51
→ Divide both sides by -9 to find x
∴ x = 2.39
→ Substitute x in equation (1) or (2) to find y
∵ 5(2.39) + 8y = 26.27
∴ 11.95 + 8y = 26.27
→ Subtract 11.95 from both sides
∴ 8y = 14.32
→ Divide both sides by 8 to find y
∴ y = 1.79
∴ The price of 1 pound of cashews is $2.39
∴ The price of 1 pound of peanuts is $1.79
How would you write 300000 + 400000 + 600 + 7 in standard form?
Answer:
700607
Step-by-step explanation:
Please help me with my work
Answer:
top left is "same" top right is "parallel"
bruh if you can help with algebra 2 please help
Answer:
what do you need?
Step-by-step explanation:
pictures would be nice
Answer:
yea sure whats the problem
(-4,4)(4,-2) slope the points
can someone please simplify this? :)
9x(8 * 9y) + 4
Answer:
648xy+4
Step-by-step explanation:
9x*72y + 4 = 648xy+4