Answer:
GH = 15
Step-by-step explanation:
14. BC = 19
GH = 9x - 3
FE = 5x + 1
Given that GH is the midsegment of the trapezoid, therefore:
GH = (BC + FE)/2
Plug in the values
9x - 3 = (19 + 5x + 1)/2
9x - 3 = (20 + 5x)/2
Multiply both sides by 2
2(9x - 3) = 20 + 5x
18x - 6 = 20 + 5x
18x - 5x = 20 + 6
13x = 26
Divide both sides by 13
x = 2
✔️GH = 9x - 3
Plug in the value of x
GH = 9(2) - 3 = 18 - 3
GH = 15
2,894 times 3 show your work
Write 9.25% as a fraction in simplest form. :) plz
Answer:
37/400
Step-by-step explanation:
Sorry if I'm wrong UwU
The 9.25% as a fraction in simplest form is 37/400 after simplifying the 9.25%.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
9.25%
We have to write the 9.25% as fraction in the simplest form.
= 9.25%
= 9.25/100
= 0.0925
= 925/10000
= 37/400
Thus, the 9.25% as a fraction in simplest form is 37/400 after simplifying the 9.25%.
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Which values are solutions of the inequality 5 < y - 8? 8, 9, 13, 15, and 20. I could really use some help! :)
Answer:
15 and 20
Step-by-step explanation:
8-8 is not greater than 5
9-8 is not greater
13 -8 is 5, but not greater
A marathon race participant walks at a rate of 2.5 miles per hour and runs at a rate of 5 miles per hour. The combined distance that the marathon race participant walks and runs is 12.5 miles. Write a linear equation in standard form that models this situation.
Answer:
2.5x + 5y = 12.5
Step-by-step explanation:
The solution is 2.5x + 5y = 12.5
The equation representing the total distance by the participant who runs and walks is given by 2.5x + 5y = 12.5 where x is the time required to walk and y is the time required to run
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
The total distance ran by the marathon participant = 12.5 miles
Let the time taken by the participant to walk be = x
Let the time taken by the participant to run be = y
Now , the speed of the participant when walking = 2.5 miles per hour
The speed of the participant when running = 5 miles per hour
So , the equation will be
The distance traveled when walking = speed of the participant when walking x time taken by the participant to walk
Substituting the values in the equation , we get
The distance traveled when walking = 2.5x
And ,
The distance traveled when running = speed of the participant when running x time taken by the participant to run
Substituting the values in the equation , we get
The distance traveled when running = 5y
Now ,
The total distance ran by the marathon participant = The distance traveled when walking + The distance traveled when running
Substituting the values in the equation , we get
2.5x + 5y = 12.5
Therefore , the equation will be 2.5x + 5y = 12.5
Hence , the equation is 2.5x + 5y = 12.5 where x is the time required to walk and y is the time required to run
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An aquarium contained an equal number of horseshoe crabs and sea stars. After 15 horseshoe crabs were removed and 27 sea stars were removed, the ratio of horseshoe crabs to sea stars was 5:3. How many horseshoe crabs and sea stars were there at first? Solve this problem and explain your reasoning.
Answer:
45 horseshoe crabs and 45 sea stars
Step-by-step explanation:
The aquarium initially contained x crabs and x sea stars.
"After 15 horseshoe crabs and 27 sea stars are removed the ratio of horseshoe crabs to sea stars is 5:3"
(x-15):(x-27) = 5:3
(x-15)/(x-27) = 5/3
3(x-15) = 5(x-27)
3x-45 = 5x-135
90 = 2x
x = 45
б – 3 = 3 + 6
Solving for the variable
Answer:
Step-by-step explanation:
Um well the variable would be 12
Answer:
The answer is 12
Step-by-step explanation:
Solve for it by simplifying both sides of the equation, then isolating the variable.
Hoped this helped!
Brainly, please?
Pls someone help the multi choice answers are
A:3:10
B:2/5
C:3:7
D:1/2
it will be A
Step-by-step explanation:
because it adds up to 3:10
Ammeters produced by a manufacturer are marketed under the specification that the standard deviation of gauge readings is no larger than 0.2 amp. One of these ammeters was used to make ten independent readings on a test circuit with constant current. The sample variance S 2 of these ten measurements is 0.0653 and it is reasonable to assume that the readings are normally distributed. Find the approximate probability that the sample variance will exceed 0.0653 if the true population variance is 0.04
Answer:
0.101
Step-by-step explanation:
Given that :
Standard deviation, s = 0.2
Sample variance, s² = 0.0653
Sample size, n = 10
Population variance = σ² = 0.04
We use the Chi square distribution :
(n - 1)s² / σ²
For P(s² ≥ 0.065)
(n - 1)s² / σ² = (10 - 1)*0.0653 / 0.04
(n - 1)s² / σ² = 0.585 / 0.04 = 14.625
P(s² ≥ 14.625) = 0.101 ( chi squee calculator).
What is the multiplier for a decrease of 38%?
Answer:
Step-by-step explanation:
times .62
Find X. Round to the nearest tenth if necessary
Answer:
3.2 probably I don't really know
Step-by-step explanation:
someone please help this person
. What is the change of temperature if it was -20 degrees and rose to 14 degrees?
Answer:
34
Step-by-step explanation:
please mark brainly :)
The function f(x) = x^2 is an even function.
Answer:
..................
Step-by-step explanation:
................................
For each part, write the equation that represents the line in slope-intercept form (y = mx + b) and standard form (ax + by = c where a, b, and c are integers and a is not negative).
Answer:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept
Step-by-step explanation:
Answer:
Step-by-step explanation:
slope-intercept equation for graph a: y = -x + 1
standard-form equation for graph a: x + y = 1
:::::
Slope of line through (0,-2) and (3,4) = (4-(-2))/(3-0) = 2
Slope-intercept equation for graph b: y = 2x-2
Standard form: 2x-y = 2
About how many classmates was Marco able to interview in the beginning of the week
Which equation represents a parabola?
O 4x2 – 2x + 3y2– y + 1 = 0
O x2 + x - 2y2 – 4y + 2 = 0
0 -3x + 4y2 – 2y + 6 = 0
O 2x2 + y2 – 4y + 6 = 0
Answer:
C on edge
Step-by-step explanation:
Only equation of the 4 that makes a parabola
Equation 0 -3x + 4y2 – 2y + 6 = 0 represents the Parabola.
What is a Parabola?
A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point and a line.
Finding the suitable equation:It is symmetric about the y-axis, which is an axis of symmetry.
So,
Equation 0 -3x + 4y2 – 2y + 6 = 0 represents the Parabola.
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I need help on this question
Answer:120 DEEGREES
Step-by-step explanation:
Write an equation of the parabola in vertex form
Answer:
y = -1/9(x - 3) + 1.
Step-by-step explanation:
THe vertex is at (3, 1) so we can write:
y = a(x - 3)^2 + 1 where a is a constant.
Now the point 1, 5/9) is on the parabola so:
5/9 = a(1 - 3)^2 + 1
5/9 = 4a + 1
4a = 5/9 - 1 = -4/9 so
a = -4/9 / 4
a = -1/9
So the equation is y = -1/9(x - 3) + 1.
What is the decimal equivalent of 3/6%
Answer:
0.5
Step-by-step explanation:
Answer:
0.5
Step-by-step explanation:
3/4÷1/5 gffgdfdgfggdggdgdgdfgdgdgdgdgdgdgdgdfgdfgdgd ancer
Answer:
improper fraction- 15/4
Mixed number- 3 3/4
Decimal- 3.75
Step-by-step explanation:
use K.C.F (Keep Change Flip)
The manager of a supermarket records the waiting times of 100 customers.
He wishes to calculate an estimate for the mean waiting time.
He draws this table.
Waiting Time
Number of
Midpoint (x)
fx
(minutes)
customers (0)
0-
0.5
5
2.5
1 -
1.5
28
42
2 -
2.5
32
80
3.5
26
91
3-
4-5
4.5
9
40.5
100
256
a) Complete the table.
b) Calculate an estimate for the mean. (I JUST NEED HELP ON B)
Answer:
2.56
Step-by-step explanation:
you add all the columns up to get an answer of 256 and divide it by 100=2.56
Answer:
2.4
Step-by-step explanation:
Diane sells candles online and ships them to her customers. Each candle weighs 1.5 pounds. When a customer orders more than one candle, Diane ships all of the customer's candles in one box. She weighs the box to determine shipping cost. This table shows the weight per shipment. Choose ALL amounts that could be added to this table. A) 4.5 B) 5 C) 6 D) 6.5 E) 7
Answer:4.5 and 6 should be on there
Step-by-step explanation: multiply 1.5 by the number of candles to get the answer
Compare and contrast the AA similarity criterion with the ASA congruence criterion. Choose the correct answer.
A. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.
B. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the non-included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.
C. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same size.
D. Both criteria require that two pairs of sides be congruent, but for congruence you also need to know that the included angles are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.
Answer:
A
Step-by-step explanation:
Both criteria require that two pairs of angles be congruent, but for congruence, you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape. Thus option A is correct.
What is AA similarity criterion?According to the Angle-Angle (AA) criterion, two triangle being considered comparable if "two angles from one triangle are equally equivalent to two angles of some other triangle."
According to the ASA congruence rule, two triangles are compatible when their two covered sides and two contained angles are equivalent to each other. However, thus according to AAS, if two triangles have two angles as well as one side that are identical to one another, then perhaps the triangles are congruent.
Because ASA and AAS are identical since it follows that if two images in one triangle are equal with two angles in another, therefore the third angles must likewise be identical. Therefore, option A is the correct option.
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14). Deconstruct to find the area of the figure below 10 ft. 14 ft.
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =
Step-by-step explanation:
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =
Step-by-step explanation:
Carla lifted 40 pounds at practice. How many ounce did she lift?
Answer:
the ounces to that is 640 ounces
Step-by-step explanation:
Find the length of each side
The triangle is equilateral, so all sides are equal.
4x = 3x + 2
x = 2
4x = 8
All sides measure 8 units.
what is the quotient of x^3+11x^2+26x+16÷x+1
Answer:
x²+x+1
Step-by-step explanation:
I think you mean (x^3 + 11x^2 + 26x + 16)÷(x+1). The parentheses make a difference.
The easiest method is synthetic division.
I need help with math problem: 5(2x+6)
Hey there!
5(2x + 6)
= 5(2x) + 5(6)
= 10x + 30
Answer: 10x + 30 ☑️
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
10x + 30
Step-by-step explanation:
When there is a number before parenthesis it means we have to multiply, so we will apply the distribution property.
5(2x) + 5(6)
Then we just multiply
10x + 30
Because we do not know the value of "x" we will leave it like this.
Hope it was helpful ;)
3x + 5 – x + 3(x + 2).
help? please give the right answer it’s urgent:(
Answer:
0.04
Step-by-step explanation:
Is 24a+16b+8 equivalent to 4(6a+2) +8b+ 2
Answer:
No
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)