Answer:
x=8
m<FGH=32
m<HGI=32
m<FGI=64
Step-by-step explanation:
The first thing you're going to do is form an equation using 5x-8 and 6x-16. The reason for this is because the two angles FGH and HGI are congruent. You form an equation by setting the two equal to each other. LIke this:
5x-8=6x-16
Then you will find x which is 8. After you find x just plug in x for one of the equations like so:
5(8)-8=_ or 6(8)-16=_
You only need to plug in x for one of the angles because they are congruent so you will get the same answer.
To find the measurment of FGI you add the values from FGH and HGI together (32+32) and you'll get 64.
Solve by using the elimination method.
Sally spent $14.85 to buy 13 flowers. She bought lilies, which cost $1.25 each, and tulips, which cost $0.90 each. How many of each flower did Sally buy?
CAN SOMEONE HELP ME WITH THIS ONE PLEASE!!!!!!!
a = lilies
13 - a = tulips
We have: 1.25a + 0.90(13 - a) = 14.85
=> 1.25a + 11.7 -0.90a = 14.85
=> 0.35a = 14.85 - 11.7 = 3.15
=> a = 3.15 ÷ 0.35 = 9
=> She bought 9 lilies and 4 tulips
20POINTS!
HELP ME PLZZ I NEED HELP WITH THIS IT IS DUE TOMORROW !!
Step-by-step explanation:
The denominators are 2, 3, and 4. The least common denominator is the least common multiple (LCM) of these numbers.
To find the LCM, first write the prime factorizations.
2 = 2¹
3 = 3¹
4 = 2²
The LCM is therefore 2² × 3 = 12.
Rewrite the fractions with a denominator of 12.
⁷/₄ + ¹/₂ + ⁵/₃ + ¹/₃ + ¹/₄ + ¹/₂
= ²¹/₁₂ + ⁶/₁₂ + ²⁰/₁₂ + ⁴/₁₂ + ³/₁₂ + ⁶/₁₂
Now that the denominators are the same, we can simply add the numerators.
= ⁽²¹⁺⁶⁺²⁰⁺⁴⁺³⁺⁶⁾/₁₂
= ⁶⁰/₁₂
= 5
Use the graph of the lines to determine if the two lines
are parallel.
units and right
Line MN was translated down
units to create line M'N'.
The slope of MN
The slope of M'N'
Answer:
(in order): 4, 8, -2, -2
Step-by-step explanation:
The slope of MN = -1.
The slope of M.N. = -1.
What is a slope?The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given information:
The two lines MN and M'N' are parallel.
Transformation rule:
Line MN was translated down to 4 units and right to 6 units to create line M'N'.
And line MN passes through two points (-2, 0) and (-6, 8).
Therefore, the slope of line MN,
= (8- 0)/(-6-2)
= -1
Since lines MN and M'N' are parallel, they have the same slope.
Therefore, the slope of M'N' is also -1.
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A parent pushes a single child on a swing. Suppose two children now sit on the same swing, and the parent pushes with the same force.
According to Newton's Second Law of Motion, what is the result?
A. mass decreases, acceleration increases
B. mass decreases, acceleration decreases
C. mass increases, acceleration increases
D. mass increases, acceleration decreases
the answer will be D.
Answer:
D
Step-by-step explanation:
According to Newton's second law of motion, mass is inversely proportional to acceleration. As mass increases, acceleration decreases and the opposite.
A teacher divides her class into groups and assigns each group the task of measuring the mass of the same object three times. The teacher already knows that the mass of the object is 25 g. Based on the results each group records, which group makes the most precise measurements of the object? A. Group D: 20.0 g, 25.0 g, 30.0 g B. Group A: 28.5 g, 28.4 g, 28.5 g C. Group C: 32.1 g, 35.0 g, 25.0 g O D. Group B: 25.5 g, 25.0 g, 24.8 g SUBMIT
Answer:
I think it would be group B due to the fact that they are the closest to 25 g
Step-by-step explanation:
Answer:
B Group A 28.5 g, 28.4 g, 28.5 g
Step-by-step explanation:
Convert 6 ounces into grams. Round your answer to the nearest whole
number.
Answer:
170
Step-by-step explanation:
You have to multiply the amount of ounces you want converted by 28.35. Then you have your ounces converted to grams.
If you use this formula then you would have, 170 X 28.35 = 170.1
When you round 170.1 to the nearest whole number you will get 170.
The conversion of 6 ounces into grams is 170 grams.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number.
Multiply the number of ounces you want to be converted by 28.35. Use the conversion.
1 ounces = 28 .35 grams
6 ounces = 6 x 28.35 grams
6 ounces = 170 grams.
Hence, 6 ounces is equal to 170 grams.
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GIVING ALOT OF POINTS IF YOU GET IT CORRCET:)
Answer:
y=1/2x+4
Step-by-step explanation:
Because I took the quiz and got it right ;)
Answer:
y=1/2x+4 i took the quiz too
tep-by-step explanation:
What conclusion can you draw from the following statements using the Law of Syllogism?
• If a figure is a square, then it has four sides.
• If a figure has four sides, then it is not a triangle
The potions for the answer is in the photo
Using the Law of Syllogism, the conclusion that you can draw from the two given premises is: C. If a figure is a square, then it is not a triangle.
The law of Syllogism is a method of deductive reasoning which involves drawing a conclusion from two premises.
Applying this law, there are usually three statements.
The first and second statements are the premises. The first statement is the major premise that connects to the second statement.The third statement is the conclusion derived from the two premises stated earlier.For example:Statement 1: If a, then b (premise)
Statement 2: If b then c (premise)
Statement 3: If a, the c (conclusion)
In the question above, in the same vein, from the first and second statement, we can conclude that:
If a figure is a square, then it is not a triangle, because a square has 4 sides and a triangle doesn't.
Therefore, using the Law of Syllogism, the conclusion that you can draw from the two given premises is: C. If a figure is a square, then it is not a triangle.
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how can i find all parts of this question?
60 people attend a game night. Everyone chooses to play chess, a two-player game, or cribbage, a four-player game. All 60 people are playing either chess or cribbage.
There are 3 more games of cribbage being played than games of chess being played. How many of each game are being played
Answer: 8 chess matches and 11 cribbage matches.
Step-by-step explanation:
60 people, 4 people play a match of cribbage, so if theres 3 more matched than chess we can subtract that from the total 60 to get the answer. 3x4=12 60-12=48, 2 people per chess game and 4 people per cribbage game add them 6, 48 divided by 6 since its an even amount now, 48/6=8 add 8 matched to the remaining 3 for the cribbage.
8 chess games are being played while 11 cribbage games are being played.
Let x represent the number of chess games and y represent the number of cribbage games.
Since there are 60 people, chess is a two-player game and cribbage is a four-player game, hence:
2x + 4y = 60 (1)
There are 3 more games of cribbage than games of chess, hence:
y = x + 3
-x + y = 3 (2)
Solving equations 1 and 2 simultaneously gives:
x = 8, y = 11
Therefore 8 chess games are being played while 11 cribbage games are being played.
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I Need Help With This Question 4x+10= -26
Answer:
x = -9
Step-by-step explanation:
Answer:
thanks
Step-by-step explanation:
kjhghjklkjhgh
solve for r. ( geometry )
Answer:
r i r
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
First, distribute. 12r + 16 = -16r - 40
Then get r on one side by adding 16r to both sides then subtracting 16 from both sides. 28r = -56
Finally, divide by 28 on both sides to get r by itself.
r = -2
In the figure, PQ is parallel to RS. The length of RP is 5 cm; the length of PT is 30 cm; the length of QT is 60 cm. what is the length of SQ?
A. 10 cm
B. 2 cm
C. 6 cm
D. 20 cm
thank you!
Answer:
10 cm
Step-by-step explanation:
because RT = 35 and RS = 75 so ST = 70
The length of SQ is 10 cm.
Option A is the correct answer.
We have,
Two similar triangles.
ΔTPQ and ΔTRS
So,
TR/TP = TS/TQ
TR = (TP +PR)
TS = (TQ + QS)
Substituting.
TR/TP = TS/TQ
(TP + PR)/TP = (TQ + QS)/TQ
(30 + 5) / 30 = (60 + QS) / 60
35/30 = (60 + QS) / 60
7/6 = (60 + QS) / 60
7 = (60 + QS) / 10
70 = 60 + QS
QS = 70 - 60
QS = 10
Thus,
The length of SQ is 10.
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please help
solve the following equation
5/7x 14 =
Answer:
10
Step-by-step explanation:
multiply the numerators or the top numbers 5/7 * 14/1
14*5=70
divide it by the denominator or the bottom number 70/7=10
5 less than a number is equivalent to 1 more than three times the number. the number is
Answer:
x = -1
Step-by-step explanation:
5 less than a number is equivalent to 1 more than three times the number
number = x
x - 5 = 3x + 1
now im going to get the numbers and variable on different sides
x - 5 + 5 = x
3x + 1 - 3x = 1
x + 3x = 4x
1 - 5 = -4
4x = -4
lastly im going to divide each side by 4
4x / 4 = x
-4 / 4 = -1
x = -1
some please help!!!!!!!!!!!
Answer:
its d you welcome
Step-by-step explanation:
you need -6 times 2 = 12 in absolute value
Answer: 12
Step-by-step explanation:
12/-1=12.000000
The Gonzalez family went to the carnival. Parking costs $12.00. The price for each ride cost $4 each. Their total cost was $52.
write equation and then solve
Answer:
12+4x=52
x=10
Step-by-step explanation:
the amount of money for each ride times x amount of rides is the 4x part. then -12 from the left and from 52. then divide 40÷4 equalling 10
Simplify by combining like terms. 3x3 + 9z + 2x3 + 5z + 6x2
Answer:
5x^3 + 6x^2 + 14z
Step-by-step explanation:
When combining like terms with exponents, you just add them together as long as they have the same exponent. 3x^3 + 2x^3 = 5x^3
9z+5z=14z
6x^2 has no like terms.
Factor the following polynomial
a^4 b^3-a^3b^4 +a^2b^5
Answer:
a^2 b^3 (b^2 - a b + a^2)
Step-by-step explanation:
Factor the following:
a^2 b^5 - a^3 b^4 + a^4 b^3
Hint: | Factor common terms out of a^2 b^5 - a^3 b^4 + a^4 b^3.
Factor a^2 b^3 out of a^2 b^5 - a^3 b^4 + a^4 b^3:
Answer: a^2 b^3 (b^2 - a b + a^2)
Emma and Murphy are friends. Murphy's age is six less than twice Emma's age.
a. Write an algebraic expression to represent Murphy's age.
b. If Murphy is 60 years old, how old is Emma?
Answer:
X=60+6×2
Step-by-step explanation:
Sorry im not great at math but i think that this would be the answer because Murphy is 6 years younger than Emma. It then says TWICE so i assume it means multiply by two. 6×2= 12 so Emma is 12 years older.
6(p+6)- (p-6) I need help anyone pls
Answer:
5p + 42
Step-by-step explanation:
Step 1: Write expression
6(p + 6) - (p - 6)
Step 2: Distribute
6p + 36 - p + 6
Step 3: Combine like terms
5p + 42
Describe the transformation for the equaton below:
f(x) = 12 – 4 + 3
Answer:
f(x)=11
Step-by-step explanation:
f(x)=12-4+3
f(x)=8+3
f(x)=11
More than 400 students are coming to the school's fundraising fair. To raise at least
$1,000, what should the school charge for each ticket?
Answer:
2.50
Step-by-step explanation:
Plz help I will mark you brainlist plz
Solve for x.
7 =
X =
Answer:
1
Step-by-step explanation:
What is an equation of the line that passes through the point (6,6) and is parallel to the line 3x-2y=4?
Answer:
Fraction: y= 3/2x-3
or
Decimal: y= 1.5x-3
Step-by-step explanation:
Turn 3x-2y=4 into y=mx+b form
Subtract 3x from both sides
-2y=4-3x
Divide -2 from both sides
y= -2+3/2x
y= 3/2x-2
Since the line is parallel, use slope 3/2
Put point (6,6) into equation to find b
6=3/2(6) + b
6=9 + b
-3 = b
Put into equation
y= 3/2x-3
Answer:
Step-by-step explanation:
y= 3/2x-3
Ann, Ben, and Cindy were eating strawberries. The ratio of the numbers of berries they ate is 5:5:7. If Cindy ate 30 strawberries less than Ann and Ben together, what is the total number of strawberries the three of them ate?
Answer:
Answer:
170
Step-by-step explanation:
Ann, Ben, and Cindy were eating strawberries.
The ratio of the numbers of berries they ate is 5:5:7.
If Cindy ate 30 strawberries less than Ann and Ben together,
find:
what is the total number of strawberries the three of them ate?
solution:
add the ratios 5 + 5 + 7 = 17
since Cindy ate 30, less than Ann and Ben together so, the equation is
7x = 5x + 5x - 30
7x - 10x = -30
x = 30/3
x = 10
ann 5 x 10 = 50
ben 5 x 10 = 50
cindy 7 x 10 = 70
total = 170
what is 4/5 divided by 1/2
Answer:
Decimal form: 1.6
Fraction Form: 1 6/10
30 POINTS AND WILL MARK BRAINLY Graph the line that passes through the points (-3,-8) and (2,-3) and determine the equation of the line
Answer:
y = x - 5 :)
Step-by-step explanation:
use point-slope form to create an equation for this line.
find the slope first by subtracting the y-values from each other, and the x-values from each other.
-3-(-8) = 5 <- y-value
2-(-3) = 5 <- x-value
5/5 = 1 <- slope
plug the slope and one of the points into the point-slope equation.
y - (-3) = 1(x - 2)
y + 3 = x - 2
subtract 3 from both sides.
y = x - 5
graph this by placing a point on -5 on the y-axis, and going up by 1 and right by 1 for the slope of 1.
hope this helped! xoxxo
Step-by-step explanation:
Hey there!
The line passes through points; (-3,-8) and (2,-3).
Now; use formula for double point.
[tex](y - y1) = \frac{y2 - y2}{x2 - x1} (x - x1)[/tex]
Put all values.
[tex](y + 8) = \frac{ - 3 + 8}{2 + 3} (x + 3)[/tex]
Simplify it.
[tex](y + 8) = \frac{5}{5} (x + 3)[/tex]
[tex]y = x + 3 - 8[/tex]
[tex]y = x - 5[/tex]
Therefore, the equation is y= x-5.
Hope it helps...
The temperature in Antarctica during the winter can average -42.3 degrees Celsius. During the summer it can average around 11.52 degrees Celsius. What is the difference between the two temperatures?
Answer:
-30.78!
Step-by-step explanation: