Answers
Answer:
The value of x = 6
Step-by-step explanation:
The Midsegment of a triangle theorem states that the midsegment of a triangle is parallel to the third side of the triangle and it’s always equal to the one half or 1/2 of the length of the third side.
Now we can conclude that from the given triangle, the length of midsegment is 5x-1 which is parallel to the side of length 58, and will always equal to 1/2 of the length of the side of length 58.
Mathematically it means:
[tex]5x-1\:=\:\frac{58}{2}[/tex]
solving to find the length of x
[tex]5x-1=29[/tex]
Add 1 to both sides
[tex]5x-1+1=29+1[/tex]
[tex]5x=30[/tex]
Divide both sides by 5
[tex]\frac{5x}{5}=\frac{30}{5}[/tex]
[tex]x=6[/tex]
Therefore, the value of x = 6
Related Questions
A credit card company uses your average daily balance to compute your finance charge. You charge $100 on May 2 and $200 on May 20. What is your average daily balance?
Answers
Answer:
$5.56Step-by-step explanation:
On may 2, charge = $100
On may 20, charge = $200
To get the average daily balance, we will use the concept of calculating slope;
let d be day of the month and c be the amount charged
when d1 = 2, c1 = 100
when d2 = 20, c2 = 200
average daily balance = c2-c1/d2-d1
average daily balance = 200-100/20-2
average daily balance = 100/18
average daily balance ≈ 5.56
Hence your average daily balance is approximately $5.56
hey ok i need help on this question ive been stuck on it for a couple minutes haha
Answers
Answer:
The side s has a length of 4 and side q has a length of 4[tex]\sqrt{3}[/tex] ⇒ F
Step-by-step explanation:
In the 30°-60°-90° triangle, there is a ratio between its sides
side opp (30°) : side opp (60°) : hypotenuse
1 : [tex]\sqrt{3}[/tex] : 2
In the given triangle
∵ The side opposite to 30° is s
∵ The side opposite to 60° is q
∵ The hypotenuse is 8
→ Use the ratio above to find the lengths of s and q
side opp (30°) : side opp (60°) : hypotenuse
1 : [tex]\sqrt{3}[/tex] : 2
s : q : 8
→ By using cross multiplication
∵ s × 2 = 1 × 8
∴ 2s = 8
→ Divide both sides by 2
∴ s = 4
∴ The length of s is 4
∵ q × 2 = [tex]\sqrt{3}[/tex] × 8
∴ 2q = 8[tex]\sqrt{3}[/tex]
→ Divide both sides by 2
∴ q = 4[tex]\sqrt{3}[/tex]
∴ The length of q is 4[tex]\sqrt{3}[/tex]
A farmer sells his com for $320 a metric ton with a small surcharge of $25. His neighbor sells her corn crop for $320 a
metric ton and gives a $20 rebate. Write the cost model equations for both farmers and find the amount of corn that
makes the costs equal.
Answers
8x+3y=14,2x+y=4. PLz solve this it’s emergency
Answers
Answer:
x=1, y=2
Step-by-step explanation:
1) 8x+3y=14 Original system of linear 2d equations
2x+y=4
2) 8x+3y=14
-4 (2x+y) =-4(4) Multiply second equation by negative four.
3) 8x+3y=14
+ -8x-4y=-16 Add equations, eliminating x terms
4) -y=-2
y=2 solve for y
5) 8x+3(2)=14 Substitute solution for y to solve for x
8x=14-6
8x=8
x=1
EASY QUESTION HELP AND HURRRYYYYY!!!!
Answers
Answer:
d
Step-by-step explanation:
Answer:
D, s=v
Step-by-step explanation:
although its scaled, the angles are equal to each other. pls brainliest im new and never got brainliest before thx appreciate it
A manufacturer claims that the mean lifetime of its lithium batteries is 1200 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1180 hours with a standard deviation of 80 hours. Test the manufacturer's claim. Use ΅ = 0.05. Round the test statistic to the nearest thousandth.
Answers
Answer:
Since p is > α we fail to reject the Null as the result is not significant at α = 0.05
Step-by-step explanation:
Given that:
Mean lifetime (m) = 1200
Sample size (n) = 25
Sample mean (x) = 1180
Standard deviation (s) = 80
α = 0.05
The null hypothesis :
H0 : m = 1200
Alternative hypothesis : m ≠1200
The t statistic :
(x - m) / (s/√n)
(1180 - 1200) / (80 / √25)
-20 / (80/5)
= - 1.250
P value = 0.10565 ( p value calculator)
Reject Null hypothesis if p > α
At α = 0.05
Since p is > α we fail to reject the Null as the result is not significant at α = 0.05
How many units are there
Answers
Answer:
There are 9 units
Step-by-step explanation:
What is the slope of this line?
A: - 1/3
B: - 2/3
C: 2/3
D: 1/3
Answers
Answer:
The answer is C. 2/3
Step-by-step explanation:
Answer:
C. 2/3
Step-by-step explanation:
equation for slope: y2 - y1 / x2 - x1
Pick any two exact points from the line. I will use (0, -3) and (3, -1)
The y's for both points are -3 and -1. The x are 0 and 3. Plug that into the equation
-3 - (-1) / 0 - 3
= -3 +1 / 0 - 3
-2/-3
Negatives cancel so it becomes positive
So the slope is 2/3
Please help
29.25 + (−47.5)
Answers
Answer: -18.25 is your answer.
because there is one negative sign so you know your answer negative. So 29.25 + -47.6 = -18.25
Step-by-step explanation:
Please help meeeeeeee
Answers
abel has $10. he buys a hotdogs for $2,and then he buys 5 bags of chips. if he has no money left, what was the cost of each bag
Answers
Answer:
$1.6
Step-by-step explanation:
do 10-2 then you do 8 dived by 5
Answer:
The cost of each bag is $1.6 according to my calculations.
Step-by-step explanation:
A carpenter added a diagonal brace to gate. The gate is 8ft. Wide and 10 ft. Tall. How long is the brace
Answers
Answer:
The brace is [tex]2\sqrt{41}[/tex] ft ≅ 12.806 ft long
Step-by-step explanation:
The length of the diagonal of a rectangle can be found using this rule
[tex]d=\sqrt{l^{2}+w^{2}}[/tex] , where
l is its length w is its width∵ The gate has shaped a rectangle
∵ Its length = 10 ft
∵ Its width = 8 ft
∴ l = 10 and w = 8
∵ The brace is the diagonal
→ By using the rule above
∴ [tex]d=\sqrt{(10)^{2}+(8)^{2}}=\sqrt{100+64}=\sqrt{164}[/tex]
∴ The length of the brace = [tex]2\sqrt{41}[/tex] ≅ 12.806 ft
∴ The brace is [tex]2\sqrt{41}[/tex] ≅ 12.806 ft long
Suppose 15% of x equals 20% of y. What percentage of x is y?
a) 5 b) 35 c) 75 d) 133 1/5 e) 300
Answers
Answer:
c)15
Step-by-step explanation:
Confirmed by rsm
A percentage is a way to describe a part of a whole. x is 133¹/₃% of y. The correct option is D.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that 15% of x equals 20% of y. Therefore, we can write,
15% of x = 20% of y
(15/100) × x = (20/100) × y
Multiply both the sides of the equation by 100,
(15/100) × x × 100 = (20/100) × y × 100
15x = 20y
x/y = 20/15
Divide both the sides of the equation by 5,
x/y = 4/3
Now, the percentage of x that is y is,
Percentage = (x/y) × 100%
= (x/y) × 100%
= (4/3) × 100%
= 133.33%
= 133 ¹/₃ %
Hence, x is 133.33¹/₃% of y.
Learn more about Percentages here:
https://brainly.com/question/6972121
#SPJ2
I'LL GIVE BRAINLIST!! THERES 2 ANSWERS!! PLEASE HELP!!
Answers
Answer:
i would go with option 2, just depending on how many pounds u get for $6.58 though.
PLA HELP ME 100 POINTS FOR TO ANSWER
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the
function?
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair or
the line. Draw a line through the two points.
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on
the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on
the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on
the line. Draw a line through the two points.
Answers
Answer: A
Step-by-step explanation: e2020
Answer:
one
Step-by-step explanation:
please help me please please nice brainly people pls
Answers
Answer:
I think your answer is B= 12.
Step-by-step explanation:
Its x times 1 .33333 = y
brainliest?
if f(x)=3x-1 find f(2)
pls show steps I rlly need to understand this!
Answers
f(2)=6-1
f(2)=5
25 points
Write an equation in slope intercept form
(-3,0) (2,1)
Answers
Answer:
y = 1/5x + 3/5
Step-by-step explanation:
if two equations are the same at two different points, what can be said about the two equations?
Answers
Answer:
They are parallel
Step-by-step explanation:
They will have the same slope but never intersect
Select the graph of g(x) = |-2х + 6|
can someone tell me if this is right
Answers
Answer:
no
Step-by-step explanation:
the graph should be facing up.
Answer the question in the picture. Thanks!
Answers
Answer:
4+3x=9
Step-by-step explanation:
All of the other choices equal to 4x+12=9 except 4+3x.
question below :) i suck at math
Answers
Step-by-step explanation:
You plug g(3) into the equation like this
g(3) = -x - 2
Find the remaining zeros of f using the given information about the polynomial.
Then write the linear factorization of the polynomial. Degree 4;
zeros: 3i, square root {7}
Answers
Answer:
noloce necesito puntos
Tyler gathered data from 12 recent basketball games about the number of points he scored, the number of points his teammate Nolan scored, and the total number of points his team scored. He displayed the data in two scatter plots.
Does either scatter plot indicate a positive correlation between the variables?
Answers
Answer:
Only plot B
Step-by-step explanation:
Answer:
Only Plot B
Step-by-step explanation:
The points in plot A are randomly scattered, and there is no recognizable pattern. So, this plot indicates no correlation between the points Tyler scored and the points Nolan scored.
In plot B, the total points Tyler’s team scored appear to increase as the points Tyler scored increase. This pattern indicates a positive correlation between the two variables.
So, only plot B indicates a positive correlation.
In the year 2007, a company made $6.6 million in profit. For each consecutive year after that, their profit increased by 13%. How much would the company's profit be in the year 2010, to the nearest tenth of a million dollars?
Answers
Answer:
$9.5 million
Step-by-step explanation:
Profits = $6.6 million
Each year increase = 13% = 0.13
2007 - 2010 = 3 years
Profits = 6.6(1 + .13)^3
= 6.6(1.13)^3
= 6.6 × 1.442896
= $9.5231202 million
Approximately $9.5 million to the tenths of a million dollars
What is the slope-intercept equation for the line below?
(5, 4)
(0, 2)
Answers
Answer:
=
2/5x +2
Step-by-step explanation:
let me know if im wrong
hope it helps :)
Answer:
A. y=2/5x +2
step-by-step explanation:
hope this helped :-)
The next section (This is the last five, don't worry xd)
7th grade math
I will give brainliest!
2 = a/6
find the value of a
Answers
Answer:
a = 12
Step-by-step explanation:
Given
2 = [tex]\frac{a}{6}[/tex] ( multiply both sides by 6 to clear the fraction )
12 = a
Answer:
a = 12
Step-by-step explanation:
We can do the inverse of division which is multiplication. 6 x 2 equals 12 and if we substitute 12 for a (12 divided by 6) you get 2 hope that helpss!!!
Karla needs 3.7 pounds of chicken. If each pound of chicken costs $4.50, how much will she need to spend altogether?
Answers
Answer: $16.65
Step-by-step explanation:3.7*$4.50=$16.65
3x^2 + 2x^2=
6x^3 - 2x^3=
first answer gets brainiest :)
Answers
Answer:
1) [tex]13x^{2}[/tex]
2) [tex]208x^{6}[/tex]
Step-by-step explanation:
(3*3(x)^2) + (2*2(x)^2) = 9x^2 + 4x^2 = 13x^2
(6*6*6(x)^3) - (2*2*2(x)^3) = 216x^3 - 8x^3 = 208x^3
If y is directly proportional with x and y=24 when x=6. What is the value of x when y=16
Answers
Answer:
x = 4
Step-by-step explanation:
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 24 when x = 6 , then
24 = 6k ( divide both sides by 6 )
4 = k
y = 4x ← equation of proportion
When y = 16, then
16 = 4x ( divide both sides by 4 )
4 = x