Answer:
[tex]\displaystyle x=\frac{39}{10}[/tex]
What is the midpoint?The midpoint of a line bisects that line into two congruent line segments - otherwise speaking, they are equivalent to each other.
Due to this, we can set the equations equal and solve for x.
SolveFirst, set the equations equal to one another.
[tex]17x = 7x + 39[/tex]
Subtract 7x from both sides of the equation to combine like terms.
[tex]17x - 7x = 7x - 7x + 39[/tex]
[tex]10x =39[/tex]
Then, divide both sides of the equation by 10 to isolate the variable.
[tex]\displaystyle \frac{10x}{10} = \frac{39}{10}[/tex]
[tex]\displaystyle x=\frac{39}{10}[/tex]
Final Answer[tex]\displaystyle \boxed{\bold{x=\frac{39}{10}}}[/tex]
A new miniature golf and arcade opened up in town. For convenient ordering, a play package is available to purchase. It includes two rounds of golf and 20 arcade tokens, plus $3.00 off the regular price. Stacey and her six friends are purchasing this package. Let g represent the cost of a round of golf, and let t represent the cost of a token. Write two different expressions that represent the total amount this group spent.
Answer:
a. 7(2g + 20t –3)
b. 14g + 140t – 21
Step-by-step explanation:
a. The first expression 7(2g + 20t – 3)
Stacey and her six friends implies that we have 7 members in the group.
Therefore, the expression above implies that each member of the group has to pay for two rounds of golf and 20 tokens will be discounted $3.00.
The expression (2g + 20t –3) represents the quantity of cost of each friend and this is multiplied by 7 to obtain this first expression, i.e. 7(2g + 20t –3).
b. The second expression 14g + 140t – 21
The simple interpretation of this expression us that deducting $21 from the to total bill which is 14 games of golf plus 140 tokens is equal to the total amount this group spent.
Therefore, this second expression is obtained by simply opening the bracket in the first expression by multiplying 7 by each of the what is in the bracket.
Find the value of x.
Answer: x=13
Step-by-step explanation:
Could someone help this question? I need help please and thank you
Answer:
second one
Step-by-step explanation:
-6 + 30 = 24
What is the length of the hypotenuse in the traingle shown above?
Answer:
17 yards
Step-by-step explanation:
X = √[(15^2) + (8^2)]
x = √[225 + 64]
x = √289
x = 17
triangle FGH with vertices F(-7,8) G(-1,1) and H(-8,4): 270 counterclockwise
The image of the triangle when rotated is F' = (8, 7), G' = (1, 1) and H' = (4, 8)
How to determine the image of the triangle when rotated?The vertices of the triangle are given as:
F = (-7,8)
G = (-1,1)
H = (-8,4)
The transformation rule is given as
270 degrees counterclockwise rotation
The rule of 270 degrees counterclockwise rotation is
(x,y) = (y,-x)
When the above rule is applied to the vertices of the triangle, we have:
F' = (8, 7)
G' = (1, 1)
H' = (4, 8)
Hence, the image of the triangle when rotated is F' = (8, 7), G' = (1, 1) and H' = (4, 8)
Read more about rotation at
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A group of 48 senior citizens attended a baseball game. The number of women in attendance was 12 more than the number of men. How many men and women attended the baseball game?
Answer:
18 men attended the baseball game, and 30 women attended the baseball game.
Step-by-step explanation:
Let the number of men in attendance be x and the number of women in attendance be x+12.
No. of men + No. of women = 48
x + x + 12 = 48
2x + 12 = 48
2x = 48 - 12
= 36
x = 36 ÷ 2
x = 18
x+12: 18 + 12 = 30
The graph shows the distance, d, in miles, that Joe can drive his car using g gallons of gasoline. What is the rate of change in this situation?
30 miles per gallon of gasoline
35 miles per gallon of gasoline
20 miles per gallon of gasoline
25 miles per gallon of gasoline
pllllllllzzzzzz help!
Answer: 25 miles per gallon
Step-by-step explanation:
Look for where the slanted lines meets at a corner
What equation represents y=−3x^2+12x−8 in vertex form?
0. At a rugby match, the ratio of children to adults is 2 : 3
There are 80 children in the crowd.
Each adult ticket costs £8
Each child ticket costs a quarter of the adult ticket.
Work out the total money made from ticket sales.
SOMEONE HELP PLEASE! I will mark Brainlist and 5 star :)
5. Dion created a scale drawing of the school library in his art class. In the scale drawing, the length of the library is 13
inches. The length of the actual library is 78 feet.
Which scale did Leon use to create the scale drawing of the school library?
A. 1 inches represents 6 feet
B. 1 inches represents 1/6 foot
C. 6 inches represents 1 foot
D. 6 inches represents 1/6 foot
So the scale used was
1 inch = 6 feet ANSWER = AStep-by-step explanation:
Given;
Length of library on drawing = 13 inches
Actual length of library = 78 feet
In order to find the scale we divide the actual length by the length of library on drawing.
So, scale = 1 inch = 6 feet
Keywords: Scale, Maps
Answer:
C
Step-by-step explanation:
78 feet/13 inches=6 inches/foot
Solve the system given:
3x - y = 7
2x + y = 3
(5,4)
(-1,2)
(2,-1)
(4,5)
Solve for the Degree 0
Answer:
d, 45 degrees
Step-by-step explanation:
a triangles angles add up to 180 we already have 90 so 180 - 90 = 90 and the two other angles are equal so 90÷2 is 45
What is the common denominator of 6/7 - 1/3
What is the common denominator of 3/4 + 1/3
What is the common denominator of 5 2/4 + 6 4/10
What is the common denominator of 5 1/2 - 4 1/3
Answer:
its the 3 to second work so 1403424555
Step-by-step explanation:
ik it cus im smart
Answer:
A. 21 B. 12 C. 20 D. 6
Step-by-step explanation:
A 5-pound bag at Bargain Mart costs $6.45. A 2-pound bag at Food Saver costs $2.50. A 7-pound bag at Grocery Surplus costs $9.45 A 10-pound bag at Economart costs $12.89. The shop with which sells flour for the lowest unit price is
Answer: Food Saver
Step-by-step explanation:
A 5-pound bag at Bargain Mart costs $6.45. The coat per pound will be:
= $6.45 / 5
= $1.29
A 2-pound bag at Food Saver costs $2.50. The cost per pound will be:
= $2.50 / 2
= $1.25
A 7-pound bag at Grocery Surplus costs $9.45. The cost per pound will be:
= $9.45 / 7
= $1.35
A 10-pound bag at Economart costs $12.89. The cost per pound will be:
= $12.89 / 10
= $1.289
Therefore, the shop which sells flour for the lowest unit price is Food Saver.
Find the solution(o) to 9N64x= 0, Check all that apply.
B
20
A
19
С
What is the length of BC?
Answer:
6.245
Step-by-step explanation:
........... .....
Please answer this question. The answer is 2.77cm but my teacher wants a two triangle solution.
9514 1404 393
Answer:
5.69 cm
Step-by-step explanation:
The mnemonic SOH CAH TOA can remind you of the relationships between angles and sides in a right triangle. Here, the useful ones are ...
Cos = Adjacent/Hypotenuse
Sin = Opposite/Hypotenuse
__
Using the first of these, we can find GD:
cos(52°) = GC/GD
GD = GC/cos(52°)
Using the second of these, we can find GH:
sin(64°) = GH/GD
GH = GD·sin(64°)
Substituting for GD, we find ...
GH = GC·sin(64°)/cos(52°)
GH ≈ (3.9 cm)(0.8988/0.6157)
GH ≈ 5.69 cm
_____
Additional comment
The length 2.77 cm given in your question is the approximate length of DH. That solution is DH = (3.9 cm)·cos(64°)/cos(52°) ≈ 2.7769 cm ≈ 2.78 cm.
Problems of this nature tend to be formulated different ways, so the specific answer will depend on the specific question. Angles and lengths and requested information may vary, even though the picture looks very similar. Read all the words.
What is CD?
A)7
B)10
C)13
D)21
please help me, i’m struggling so bad, il mark you brainliest if you give me the answer
Answer:
210 squared inches, I think
Step-by-step explanation:
21 x 15 = 315 (area of original map)
315 x 2/3 = 210
Given CAD is a right angle and AB is bisecting CAD and if DAB=(7x-4) find X
Answer:
7°
Step-by-step explanation:
Just a quick clarification, swap A and B on the diagram.
If CAD is a right angle, it is equal to 90°. Since AB is bisecting CAD, angles CAB and DAB are congruent(equal) and complementary(add up to 90) angles, and thus equal 45°. By the transitive property, if DAB = (7x - 4)° and also equals 45°, (7x - 4)° = 45°. So we can simply solve for x.
7x - 4 = 45
7x - 4 + 4 = 45 + 4
7x = 49
7x/7 = 49/7
x = 7
PLEASEE HELP!!!!!!!!!1
Evaluating expressions
Answer:
There is no expression to evaluate.
Step-by-step explanation:
Pleas help. Please and thank :)
Answer:
126
Step-by-step explanation:
42/2= 21
21 times 6 = 126
answer is 126 pages
plez give brainliest
A parallelogram has a base of 9 and a corresponding height of 2/3. What is the area?
Therefore area of a parallelogram = 6
Given the base of a parallelogram = 9
Height of a parallelogram = 2/3
We have to find the area of the parallelogram as
The formula for the area of the parallelogram as base * height
By using the above formula we get
Area of parallelogram = base * height
= 9 * 2/3
= 3 * 2
= 6
Therefore area of a parallelogram = 6
To learn more about parallelogram refer below
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The same business recently upgraded a display TV they had in their lobby.
Originally the TV was 32 inches (across the diagonal) and had an area of
446.38in? The new TV is 53 inches across the diagonal. What is the area of the
new TV? Round the answer to two decimal places.
Answer: 739.32in
Step-by-step explanation:
Since we are informed that originally the TV was 32 inches (across the diagonal) and had an area of
446.38in while thee new TV is 53 inches across the diagonal.
The area of the new TV would simply be calculated as:
= (53 × 446.38) /32
= 23658.14 / 32
= 739.32in
what is the circumference of the circle of parallel of latitude 40°
Answer:
The circumference of a circle with a latitude of 40 degrees is 251.33
1k + 9>30
Plis ayúdenme
Answer:
Step-by-step explanation:
1k +9 > 30
1k +9 -9 > 30 -9
1k > 21
k > 21
I need help with these questions
(check pictures)
Answer:
1. 920.0 after that 1830/2 after that 9.1* 10 raised to 2 after that 918%
Step-by-step explanation:
I need help asap!!!!!
Answer:
16.7
Step-by-step explanation:
We can use the Pythagorean Theorem [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]. So we write the equation below and solve for b.
[tex]9^{2}[/tex] + [tex]b^{2}[/tex] = [tex]19^{2}[/tex]
81 + [tex]b^{2}[/tex] = 361
[tex]b^{2}[/tex] = 280
b = 16.7
Answer:
h²=p²+b²
(19)²-(9)²=b²
361-81= b²
b²=280
b= √280
:. b=+-16.733
The sum of two numbers is 53 and the difference is 19. What are the numbers?