#6.
In the diagram below ABC~DEF, DE=4, AB=x AC=x+2 and DF= x+6
Determine the length if AB
Please help me with this one!
Answers
Answer:
x = 2
Step-by-step explanation:
Since the triangles are similar then corresponding sides are in proportion, that is
[tex]\frac{AB}{DE}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values
[tex]\frac{7x}{7}[/tex] = [tex]\frac{4}{x}[/tex] ( cross- multiply )
7x² = 28 ( divide both sides by 7 )
x² = 4 ( take square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
Related Questions
Find m FGN
See picture and give explanation please! Thank you!
Answers
Answer:
m<FGN=(7x+18)º=88º
Step-by-step explanation:
(7x+18)º=(6x-10)º+38º
x=10
so
m<FGN=(7x+18)º=88º
hope this is the answer you're looking for.
(Factorials)
Solve 5!
_help please_
Answers
Answer:
5*4*3*2*1= 120
you multiply each number to it's previous one till you reach 1
Abigail surveyed 40 students about their favorite kind of movie. The results are shown in the table. If there are 200 students in the school, predict how many more students prefer action movies to scary movies.
Answers
Answer:
Where is the Table?
Step-by-step explanation:
The number of students which prefer action-movies to scary movies are 25 students.
To predict how many more students prefer action movies to scary movies, we calculate difference based on proportion of students who prefer action movies from surveyed group and then apply that proportion to total number of students in school,
Number of students who prefer action movies = 14,
Total surveyed students = 40,
Total school students = 200,
Proportion of students who prefer action movies = (Number of students who prefer action movies) / (Total surveyed students),
Proportion of students who prefer action movies = 14/40 = 0.35,
Predicted number of students who prefer action movies in school = Proportion of students who prefer action movies × Total school students
Predicted number of students who prefer action movies = 0.35×200 = 70,
Predicted number of students who prefer scary movies in the school = (Number of students who prefer scary movies) / (Total surveyed students) × Total school students,
Predicted number of students who prefer scary movies = (9/40)×200 = 45
Difference = (Predicted number of students who prefer action movies) - (Predicted number of students who prefer scary movies),
Difference = 70 - 45 = 25,
Therefore, the correct prediction is that 25 more students prefer action movies to scary-movies.
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The given question is incomplete, the complete question is
Abigail surveyed 40 students about their favorite kind of movie. The results are shown in the table. If there are 200 students in the school, predict how many more students prefer action movies to scary movies.
Negative four and one-fifth minus negative thirteen and one-tenth
Answers
Answer:
8 nine tenths
Step-by-step explanation:
(-21/5) - (-131/10)
(-42/10)-(-131/10)
131-42=89
89/10
8 and nine- tenths or 8 9 divided by 10
May I please receive help?
Please?
Answers
Slope Formula: (y2 - y1) / (x2 - x1)
Line 1: 3
Point 1 = (-5, -8)
Point 2 = (-1, 4)
Slope = (4 - - 8) / (-1 - - 5) = (4 + 8) / (-1 + 5) = 12 / 4 = 3
Line 2: 3
Point 1 = (0, 1)
Point 2 = (2, 7)
Slope = (7 - 1) / (2 - 0) = 6 / 2 = 3
Line 3: -1/3
Point 1 = (6, -7)
Point 2 = (-6, -3)
Slope = (-3 - - 7) / (-6 - 6) = (-3 + 7) / (-12) = 4 / -12 = -1/3
Parallel lines have the same slope, while perpendicular lines have an opposite reciprocal slope.
Line 1 and Line 2 are parallel because they have the same slope.
Line 1 and Line 3 are perpendicular because they have opposite reciprocal slopes.
Line 2 and Line 3 are perpendicular because they have opposite reciprocal slope.
Hope this helps!! :)
Answer:
3
3
-1/3
Parallel
Perpendicular
Perpendicular
Step-by-step explanation:
You need to learn this for some tests where you don't get access to the internet in most cases like the ACT, SAT, normal tests, ect.
The formula for slope is y2-y1 divided by x2-x1
y2 is a point from the second pair of points, for example (-1, 4) or (2, 7).
y1 is a point from the first pair like (-5, -8), or (0, 1).
You can plug in the values for example:
4 - (-8) / -1 - (-5)
Two negatives equals a positive in math, so
12 / 4
= 3.
The slope for line 1 is 3.
You extend this to the other two lines.
For lines to be parallel, they must have the same slope.
1 and 2 should both have a slope of 3 based on the previous algebra, so they are parallel.
Line 3 has a slope of -1/3 which makes it perpendicular to 1 and 2, because perpendicular lines have the negative reciprocals of each other.
For example, if a line has a slope of 2, the perpendicular line has a slope of -1/2 because a reciprocal is the number flipped upside down with a fraction (aka, multiplying something with 1/x where x is the original number.)
A reciprocal slope of 19348 is -1/19348.
The table shows the cost of some apples. Which function ƒ(x) is represented in the table?
A)
ƒ(x) = 2x + 2
B)
ƒ(x) = 0.5x
C)
ƒ(x) = 0.5x + 2
D)
ƒ(x) = 2x
Answers
Answer:
D) f(x) = 2xStep-by-step explanation:
The ordered pairs from the table:
(1, 2), (2, 4), (3, 6)Find the slope:
m = (4 - 2)/(2 - 1) = 2Find the y- intercept:
2 = 2*1 + b ⇒ b = 0The function is:
f(x) = 2xCorrect choice is D
Take any two pairs
(1,2)(3,6)Slope
m=6-2/3-1m=4/2m=2Equation in point slope form
y-2=2(x-1)y-2=2x-2y=2xhow can I Simplify 4p³ × 3p⁷
Answers
[tex] = 12 {p}^{10} [/tex]
hope it helps
#carry on learning
Choose the algebraic expression that matches the word phrase below.
the quotient of x and 10
Answers
Answer:
x ÷ 10
..,.................
A company sets sales goals for employees each month.
At her current pace, how many items will Kristina sell in 28 days? Is she on track to meet the goal? Explain.
b. At his current pace, how many dollars worth of product will Jim sell in 28 days? Is he on track to meet the goal? Explain.
Answers
Answer:
A. Kristina will sell 294 items in 28 days if she stays on her current pace.
B. She is not on track to meet the goal.
Step-by-step explanation:
By doing the math she would only sell around 294 items by day 28 when she needs to sell around 400 to reach her goal. if she keeps this pace she won’t reach that goal unless she is able to bump up her weekly count by 2-5 items then she can either hit the goal or go over.
Halp meh ples friends :D
Answers
Answer: I gotchu it’s
9 and 1/5
Step-by-step explanation:
Riley has r red peppers and 51 green peppers. Write an expression that shows how many peppers Riley has.
Answers
Answer:
r+51 peppers
Step-by-step explanation:
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 42
cards, which was 4% of the cards sold for Mother's Day. How many cards were sold
for Mother's Day?
Multiply/scale up to solve.
cards
42
100
4
percent
Answers
Answer:
Bob sold 1,050 cards for Mother’s Day
Step-by-step explanation:
Help please thank you so much!
Answers
g(1/4) = 5/(1/4) = 5 * 4 = 20
Solution: 20
Answer:
Answer: 20
Step-by-step explanation:
2^2-4=0.25
5/0.25=20
no need for explanation just answer
Answers
Answer:
19
Step-by-step explanation:
Express 1.07 into percentage
Answers
hope this helps! :)
Answer:
12 * 1.07 = 12.84
Step-by-step explanation:
You an can pick any number to express another number in this example we find 0.84 = 7% and 12 = 1 as 12 represents 1 whole.
The equation x²– 8x – 5 = 0 can be transformed into the equation (x - p)² = q, where p and q are real numbers. What are the values of p and q?
Answers
The form (x - p)^2 = q is the form that completing the square will leave us with.
---Add 5 to both sides
x^2 - 8x = 5
---Divide the b term by 2, and square it. Then, add that number to both sides.
-8/2 = -4
(-4)^2 = 16
x^2 - 8x + 16 = 5 + 16
x^2 - 8x + 16 = 21
---Factor!
(x - 4)^2 = 21
p = 4
q = 21
Hope this helps!! :)
P and q have values of 4 and 21, respectively.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
The form (x - p)²= q is what we get when we complete the square.
Adding the number 5 on both sides,
x² - 8x = 5
After dividing by two, square the b term. Then divide both sides by that figure.
-8/2 = -4
(-4)² = 16
x² - 8x + 16 = 5 + 16
x² - 8x + 16 = 21
Solve the factors,
(x - 4)² = 21
p = 4
q = 21
As a result, the values of p and q are 4 and 21, respectively.
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The function The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. The total of t tables are arranged in a certain way.
Select EACH correct statement about the scenario.
[] The function is an arithmetic sequence.
[] The number 2 is the beginning number of tables.
[] The number 2 is the number of tables added when t increases by 1.
[] The number 4 represents the number of people that can be seated at an event if only 1 table is available.
*Multiple Choice*
Answers
The correct statements about the scenario are;
The function is an arithmetic sequenceThe number 2 is the number of tables added when t increases by 1.The number 4 represents the number of people that can be seated at an event if only 1 table is available.According to the function given;
p(t)=4+2(t−1)Evidently, the function, p(t) represents the number of people that can sit when t tables are available.
T(n) = a + d(n -1)In essence, the function resembles that of a general arithmetic progression with first term, a = 4.
The common difference, d = 2.
The statements which are correct are therefore as listed above.
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translate 3(x-y)=2y+9 into a verbal sentence
Answers
Answer:
3 times x then minus 3 times y equal 2y plus 9
Step-by-step explanation:
Not sure if it works......
that's the verbal sentence (which is not formal sentence) i can think of now......
Please help me with this!
Answers
Answer:
2×2+3=7
6×2+3=15
output=input×2+3
Can anyone please help me with this?
Answers
Answer:
m∠QPT = 110°
Step-by-step explanation:
1. We can use exterior angle theorem to find m∠QPT. Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two remote angles in that same triangle.
This means that 6x + 20 = x + 40 + 4x - 5. Then, we can plug in the value of x into 6x + 20 and find the measure of ∠QPT.2. (Solving)
Step 1: Combine like terms.
[tex]6x + 20 = (x+4x)+(40-5)[/tex] [tex]6x + 20 = 5x + 35[/tex]Step 2: Subtract 20 from both sides.
[tex]6x + 20 - 20 = 5x + 35 - 20[/tex] [tex]6x = 5x +15[/tex]Step 3: Subtract 5x from both sides.
[tex]6x - 5x = 5x +15 - 5x[/tex] [tex]x = 15[/tex]Step 4: Check if solution is correct.
[tex]6(15)+20=(15)+40+4(15)-5[/tex] [tex]90 + 20 = 15 + 40 + 60 - 5[/tex] [tex]110 = 55 + 60 - 5[/tex] [tex]110 = 115 - 5[/tex] [tex]110 = 110[/tex]3. Now, let's plug in 15 for 6x + 20:
[tex]6(15)+20[/tex] [tex]90+20[/tex] [tex]110[/tex]Therefore, m∠QPT = 110°.
120
explain..
i hope this helps
The energy needs of an eagle range between 350-600 calories per day. If it gets 120 calories from consuming 1 snake, how many snakes can it have
Answers
Answer:
3- 5 snakesStep-by-step explanation:
One snake gives 120 calories, so 3 snakes = 360 and 5 snakes = 600 calories.
The eagle can have 3 - 5 snakes per day
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required number of snakes is ~
[tex]3 \: \: to \: \: 5 \: \: \: snakes[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
Minimum number of snakes that the eagle need to eat to maintain its energy level ~
[tex] \dfrac{350}{120} [/tex][tex] \dfrac{35}{12} [/tex][tex] \approx3[/tex]Maximum number of snakes that the eagle should eat to maintain the level of energy ~
[tex] \dfrac{600}{120} [/tex][tex]5[/tex]So,
The Eagle should have 3 - 5 snakes per day ~
Can anyone help me solve this? Thank you. The question is provided on the attachment
Answers
Answer:
V I R T U E
Step-by-step explanation:
I) 3d = 3 × 3 = 9
E) 4d + a = 4(3) + 1 = 12 + 1 = 13
R) d² + 5 = (3)² + 5 = 9 + 5 = 14
V) bc + 3d = 1/2 × (-2) + 3(3) = -1 + 9 = 8
T) a - 3c = 1 - (3 × -2) = 1 - -6 = 7
U) √3c²d = √3 × (-2)² × 3 = √3 × 4 × 3 = √36 = 6
Correct order:
V I R T U E
Sarah wants to
install new carpet in her living room.
The small square is tiled and will not be
carpeted. How many square yards of
carpet will she need?
Answers
Answer:
24 yd^2
Step-by-step explanation:
6yd * 4yd = 24 yd^2
What is the square root of 74 rounded to the nearest tenth
Answers
The square root of 74 rounded to the nearest tenth is gotten as; 8.6
How to find the Square root of a number?
We want to find the square root of 74.
This square root of 74 is expressed as;
√74
Now, the value of that square root is;
√74 = 8.6023
Now, we want to approximate to the nearest tenth and thus we will have the approximation as; 8.6
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Please help me solve this ASAP please !
Answers
This is a Reflection :) Have a great day !
The half-life of Carbon-14 is 5730 years. Suppose a fossil is found with 50% of Carbon-14 as compared to a living sample. How old is the fossil?
A) 5730 years
B) 57 years
C) 5728 years
D) 572 years
Answers
Answer:
The answer is A.
Step-by-step explanation:
Because it takes 5730 years for half of a sample of carbon-14 atoms to decay. It says that 50% of the carbon atoms have decayed so that means that 5730 years have elapsed for that fossil.
Hope this helps!
Please Please Help Me
Answers
Answer:
Step-by-step explanation:
(4^29)
Which number equals (34)−2?
Answers
Answer:
32
Step-by-step explanation:
Which statement BEST compares the growth of the two functions shown in the table?
A
The value of the exponential function will never be greater than the linear
function
B)
The value of the linear function will never be greater than the exponential
function
The value of the linear function will eventually be greater than the
exponential function
D)
The value of the exponential function will eventually be greater than the
linear function
Answers
Answer will be (D)
The value of the exponential function will eventually be greater than the
linear function.
and
B)
The value of the linear function will never be greater than the exponential
function
draw a suitable line on the grid and use your graphs to solve the equation 2/x - x^2 =5x
Answers
Answer:
I graphed the answer above in the image
