Answers
======================================================
Explanation:
M is the midpoint of segment PQ. This means PQ is cut in half into two equal smaller pieces PM and MQ. We can say that PM = MQ.
Furthermore, we can say that PQ is twice as long as either piece, so
PQ = 2*PMPQ = 2*MQWe'll use the second equation to say the following:
PQ = 2*MQ
6x+56 = 2*MQ .... replace PQ with 6x+56
6x+56 = 2*(5x+8) .... replace MQ with 5x+8
6x+56 = 2*5x + 2*8 .... distribute
6x+56 = 10x+16
6x+56-10x = 16 .... subtract 10x from both sides
-4x+56 = 16
-4x = 16-56 ..... subtract 56 from both sides
-4x = -40
x = -40/(-4) ..... divide both sides by -4
x = 10
Once we know the value of x, we use it to find the length of PM
PM = MQ
PM = 5x+8
PM = 5*10+8
PM = 50+8
PM = 58
Note how PQ = 6x+56 = 6*10+56 = 116 is exactly twice as large compared to 58. In other words, 2*58 = 116. This confirms that PQ is twice as long compared to PM or MQ. This helps confirm we have the right answer.
Related Questions
John is going to the store. His house is located 3 miles south and 4 miles east from the
store, as shown below. What is the shortest distance from his house to the store? Explain
your reasoning.
1
3 miles
HA
BE
4 miles
Answers
Answer:
im so sorry but i need to finish my challenge
Step-by-step explanation:
How to write the question using the follow sentence#1
Will mark Brainliest
Answers
Answer:
7 times 4 = 28
28 + 6 = 34
Step-by-step explanation:
Find the measure of each angle indicated
Answers
Find the rate of discount for a pair of pants that cost $65 and are on sale for $42.25.
Answers
Answer:
35%
Step-by-step explanation:
42.25÷65 = .65
1-.65 = .35
Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1 25 per ride. Which function can be used to determine how much money he has left over after x rides?
Answers
Answer:
80m - (12+4) = x
Step-by-step explanation:
Hope this helps! I mean its self explanatory
Answer:
$38.75
Step-by-step explanation:
We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.
mark takes a 40 question test for which he receives 2.5 for each correct answer and losses 1 point for each wrong answer. If mark answers all the questions and gets a grade of 65% of the test, what percent of the questions did he answer correctly?
Answers
Answer:
he answered 26% correctly
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
Your favorite shoes were on sale for 35% off. The shoes have a regular price of $160. Sales tax was 4%. What is the total price paid for the shoes including the discount and tax?
Answers
Answer:
108.16
Step-by-step explanation:
Find the inequality represented by the graph
Answers
Answer:y<3/4x
Step-by-step explanation:
Its proportional
y intercept is 0 which means nothing
slope is 3/4
so
y<3/4x
BTW dotted lines are < not ≤
hi i’ll give you brainliest if you answer my question.
Given the function f (x)=2^x
determine the equation of a new function, g(x), that is reflected over the x-axis and then shifted 5 united down
is it b or d pls help
Answers
14) Find the slope of the line containing the points (5, 3) and (-7, 2).
A. −52
B. 112
C. -4
D. 12
Answers
Answer:
1/12
Step-by-step explanation:
Step one:
given data
the line containing the points (5, 3) and (-7, 2).
x1= 5
y1= 3
x2= -7
y2=2
Step two:
The slope is given as
Slope= y2-y1/x2-x1
substitute
Slope= 2-3/-7-5
Slope= -1/-12
Slope = 1/12
Please hurry it’s 100 points
Answers
Answer:
I Believe B
Step-by-step explanation:
Hope this helps:)
Answer:
B
Step-by-step explanation:
Its B
Find the value of w°
Answers
Answer:
w = 59
Step-by-step explanation:
90 + 31 +w = 180
121 +w = 180
w = 180 - 121
w = 59
ekusysnyeyuejteyjdjgdyjd
Answers
Answer:
a. < less than
b. > greater than
c. > greater than
d. > greater than
e. < less than
Plzzzzz give me Brainliest!
Given f(x) = - 2x + 5 and g(n) = 3n - 2, evaluate one of the functions with the indicated value f(-3) and explain your answer
[A] f(-3) = -1
[B] g(-3) = - 11
[C] f(-3) = 11
[D] g(-3) =7
Answers
Answer:
[C] f(-3) = 11
Step-by-step explanation:
f(x) = - 2x + 5f(-3) = - 2(-3) + 5f(-3) = -(-6) + 5f(-3) = 6 + 5 =11Consider this quadratic equation:
6x2+9x-10=0
Comparing it to the standard form, name a, b, and c
a-
b=
C=
Answers
b = 9
c = -10
hope this helps you!
Can y'all help meh please!
Answers
Answer:
__________________the answer is C _____________
Answer:
C.
Step-by-step explanation:
The y intercept is when x=0
so (0, -7) is the y-intercept
slope is found when you subtract y-y1/x-x1
-10- (-7) / 9-0
-3/9
simplified is -1/3
slope is -1/3 and y intercept is (0, -7)
2x² + 3 × (-x²) + 6x + 2
Answers
Answer:
1x²+5 x 6x
Step-by-step explanation:
5/2=d−2/4 solve the proportion
Answers
Answer:
5/2+2/4=d
or d=3
Step-by-step explanation:
its all
Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and shipping, to purchase 6.3 total pounds of nuts
Answers
pls help i will give brainliest
Answers
Answer:
( -4 , 13 )
Step-by-step explanation:
2 ( -4 ) + ( 13 ) = 5
5 = 5
3 ( 13 ) = 15 - 6 ( -4 )
39 = 39
( -4 , 13 )
2. Are the triangles shown below similar
not? How do you know? (Explain your reasoning)
Answers
Answer:
yes the both have all the same angles
Step-by-step explanation:
180-90=90
90-35=55
1) Ben has 15 coins, all dimes and quarters, worth $2.55. How
many dimes and how many quarters does Ben have?
Answers
Answer:
Ben has 8 dimes and 7 quarters.
Step-by-step explanation:
Given that:
Number of coins = 15
Worth of coins = $2.55 = 2.55 * 100 = 255 cents
Let,
x be the number of dimes
y be the number of quarters
According to given statement,
x+y=15 Eqn 1
10x+25y=255 Eqn 2
Multiplying Eqn 1 by 10
10(x+y=15)
10x+10y=150 Eqn 3
Subtracting Eqn 3 from Eqn 2
(10x+25y)-(10x+10y) = 255 - 150
10x+25y-10x-10y=105
15y=105
Dividing both sides by 15
[tex]\frac{15y}{15}=\frac{105}{15}\\y=7\\[/tex]
Putting y=7 in Eqn 1
x+7=15
x=8
Hence,
Ben has 8 dimes and 7 quarters.
solve each equation. 7(x+4)-6(x+3)=x+5
Answers
Answer:
7(x+4)-6(x+3)=x+5
or , 7x + 28 - ( 6x + 18 ) = x + 5
or , 7x + 28 - 6x - 18 = x + 5
or , x + 10 = x + 5
The equation is incorrect !!
7(x+4)-6(x+3)=x+5
We simplify the equation to the form, which is simple to understand
7(x+4)-6(x+3)=x+5
Reorder the terms in parentheses
+(+7x+28)-6*(x+3)=x+5
Remove unnecessary parentheses
+7x+28-6+*(+x+3+)=+x+5
Reorder the terms in parentheses
+7x+28+(-6x-18)=x+5
Remove unnecessary parentheses
+7x+28-6x-18=+x+5
We move all terms containing x to the left and all other terms to the right.
+7x-6x-1x=+5-28+18
We simplify left and right side of the equation.
0x=-5
0=-5
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
(hope that helps you out :)
the difference of a number t and 9
t-9 or 9-t
Answers
JOE'S MOUNTAIN BIKE WEIGHS 7 POUNDS MORE THAN ANDY'S. IF THEIR BIKES WEIGH 45 POUNDS ALTOGETHER, HOW MUCH DOES JOE'S BIKE WEIGH?
Answers
Answer:
26
Step-by-step explanation:
45-7=38,
38/2= 19,
19+7=26
factor the expression -20x - 15
Answers
Answer:
−5(4x+3)
Step-by-step explanation:
what is 5x – 8x + 2 + 5=
Answers
Answer: -3x+7
Step-by-step explanation: Good luck! :D
Answer:
-3x+7
Step-by-step explanation:
(5x-8x)+(2+5) Like terms together
(-3)x+7 Combine within each group
-3x+7 Simplify the signs in the product
-3x+7 Is your answer
Hope that helps :)
how many feet tall is the building
Answers
Answer:
Height of the building = 77 ft.
Step-by-step explanation:
Let the height of the building (AB) = h feet
It's given that height of a woman (ED) = 5 feet 3 inches
≈ 5 feet + [tex]\frac{3}{12}[/tex] ft
≈ 5.25 ft
Length of the shadow (BC) of the building = 55 ft
Length of the shadow (DC) of the woman = 45 in ≈ 3.75 ft
Since, both the triangles ABC and EDC are similar, their corresponding sides will be proportional.
By the property of similar triangles,
[tex]\frac{AB}{ED}= \frac{BC}{DC}[/tex]
[tex]\frac{h}{5.25}=\frac{55}{3.75}[/tex]
h = [tex]\frac{55\times 5.25}{3.75}[/tex]
h = 77 ft
Therefore, height of the building will be 77 ft.
Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much will Colin have after 6 years?
Answers
Answer:
£1430
Step-by-step explanation:
Given data
Principal =£1100
Rate= 5%
time = 6 years
The simple interest formula is
A=P(1+rt)
substitute
A=1100(1+0.05*6)
A=1100(1+0.3)
A=1100(1.3)
A=1100*1.3
A=£1430
Hence the balance is £1430
Need the answer pls!!!!!
Answers
......
Answer: the y-intercept would be -3