The value of x in the diagram is : 75°
what is an isosceles triangle?An isosceles triangle is a type of triangle with base angles equal and opposite sides equal.
Analysis:
Since GF = EF
∠FGE = ∠FEG = (x - 18)°( base angles of an isosceles triangle are equal)
∠FGE + ∠FEG + ∠GFE = 180°( sum of angles in a triangle)
(x - 18)° + (x-18)° + 66 = 180
2x -36 + 66 = 180°
2x + 30 = 150
2x = 180 - 30
2x = 150°
x = 150/2 = 75°
In conclusion, the value of x in the diagram is 75°
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Need help please. Determine whether the statement is true or false.
Answer:
false
Step-by-step explanation:
I WILL GIVE BRAINLIEST FOR CORRECT ANSWER
The graph of the system of equations y= 2x+3 and y= x+5 is shown on the coordinate plane (image included). What is the solution to the system of equations?
Answer:
A
Step-by-step explanation:
The answer is A because the point intercepts at (2,7), and answer A has the points (2,7) in it's answer.
Good evening every one sorry to brother u but can someone answer this
3 - 3 / 1/3 + 1
Thank u very much
Answer:
-5
Step-by-step explanation:
3 - 9 + 1 = -6 + 1 = -5
Hope this helped! I would appreciate a Brainliest!
(BTW, if you can, can you please answer my question? It's due today!)
can someone help me with this question
Answer:
the answer will be 1 7/3 I believe
Find the distance between the points given below. Round your answer to the nearest tenth.
A (0,6) and B (-3,-1)
Answer:
7.6
Step-by-step explanation:
We want to find the distance between (0,6) and (-3,-1)
We can find the distance between any two points using the distance formula
Distance between two points =
[tex] \sqrt{(x2 - x1)^{2} +(y2 - y1) {}^{2} } [/tex]
Where the values of x and y are derived from the the two points. (x1,y1) and (x2,y2)
Here the two points are (0,6) and (-3,-1)
So we have (x1,y1) = (0,6) so x1 = 0 and y1 = 6
And we have (x2,y2) = (-3,1) so x2 = -3 and y2 = -1
Now we plug in the values of x and y into the formula and evaluate to get the distance.
Again recall distance = √(x2-x1)²+(y2-y1)²
==> plug in x2 = -3 , x1 = 0, y2 = -1 and y1 = 6
Distance = √(-3-0)²+(-1-6)
==> evaluate operations inside of parenthesis
Distance = √(-3)²+(-7)²
==> evaluate all exponents
Distance = √9+49
==> and 9 and 49
Distance = √58 = 7.6 (rounded)
Stephanie earns $50 a week from babysitting. She spends
$25, saves $15, and uses the rest to repay a loan of $100 from
her brother. After six weeks, how much has Stephanie spent,
how much has she saved, and how much does she still owe her
brother?
Step-by-step explanation:
Stephanie has spent $150
she has saved $90
and owes her brother$40
How many molecules of manganese are there in 1.75 moles? There are 6.02 x10^23 molecules/mol
Answer: [tex]1.0535 \times 10^{24} \text{ molecules of manganese}[/tex]
The result is approximate.
=========================================================
Work Shown:
[tex]1.75 \text{ moles} \times \frac{6.02 \times 10^{23} \text{ molecules}}{1 \text{ mole}}\\\\(1.75 \times 6.02) \times 10^{23} \text{ molecules}\\\\(10.535) \times 10^{23} \text{ molecules}\\\\(1.0535 \times 10^1) \times 10^{23} \text{ molecules}\\\\1.0535 \times (10^1 \times 10^{23}) \text{ molecules}\\\\1.0535 \times 10^{1+23} \text{ molecules}\\\\1.0535 \times 10^{24} \text{ molecules}\\\\[/tex]
Note: In the second step, the "mole" units cancel when dividing.
What is the volume of the cylinder 6yd and 11yd
Answer:
Volumer of cylinder
=(πd²/4)×h
=(36π/4)11
99π yd³
Is this true or false
Answer:
False
Step-by-step explanation:
Range can be calculated by taking the difference of the lower limit and upper limit of the data
The Upper limit here is 8.5 (considering) and lower limit is 4
So,
R= 8.5-4
R=4.5
The given says it is 2.5 so it is false.
Pleaseeee helplpppppp
Answer:
Step-by-step explanation:
. How can you know if 2 shapes are congruent? Draw an example of 2 congruent triangles and label how you know.
Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate
What are congruent triangles?Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.
We can say that two triangles are congruent using these 5 rules:
1: SSS or the side, side, side rule, that means that we have two triangles with all three sides equal.
2. SAS or side, angle, side states that in the two triangles, two sides and the included angle are equal.
3. ASA or angle, side, angle states that in two triangles, the two angles and the included side are equal.
4. AAS or angle, angle, side states that we have two triangles where two angles and the non-included side are equal.
5. HL or the Hypotenuse Leg rule states that, if the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, then the two triangles are congruent.
Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.
Example:-From the diagram, given that:
AB = DE, BC = EF and ∠B = ∠E
Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate
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The function f(x) = –x^3 + 7x^2 – 7x – 15 has zeros located at 5, 3, –1. Verify the zeros of f(x) and explain how you verified them. Describe the end behavior of the function.
Answer:
See below for answers and explanations
Step-by-step explanation:
If we check x=5:
[tex]f(5)=-(5)^3+7(5)^2-7(5)-15\\f(5)=-125+7(25)-35-15\\f(5)=-125+175-50\\f(5)=50-50\\f(5)=0[/tex]
So [tex]x=5[/tex] is indeed a zero
If we check x=3:
[tex]f(3)=-(3)^3+7(3)^2-7(3)-15\\f(3)=-27+7(9)-21-15\\f(3)=-27+63-36\\f(3)=36-36\\f(3)=0[/tex]
So [tex]x=3[/tex] is also indeed a zero
If we check x=-1:
[tex]f(-1)=-(-1)^3+7(-1)^2-7(-1)-15\\f(-1)=1+7+7-15\\f(-1)=8+7-15\\f(-1)=15-15\\f(-1)=0[/tex]
So [tex]x=-1[/tex] is also indeed a zero
End Behavior
Since the degree of [tex]-x^3[/tex] is odd [tex](3)[/tex] and the leading coefficient is negative [tex](-1)[/tex], the end behavior of function [tex]f[/tex] is as follows:
As [tex]x\rightarrow-\infty,f(x)\rightarrow+\infty[/tex]As [tex]x\rightarrow+\infty,f(x)\rightarrow-\infty[/tex]6. You buy a car in 2018 for $12,000. The car depreciates at a rate of 20% annually. What is tha
car worth today?
Answer:
$4,915.2
Step-by-step explanation:
2018 = $12,0002019 = 9,600(20% of 12,000 = 2,400 | 12,000 - 2,400 = 9,600)
2020 = 7,680(20% of 9,600 = 1,920 | 9,600 - 1,920 = 7,680)
2021 = 6,144(20% of 7,680 = 1,536 | 7,680 - 1536 = 6,144)
2022 = $4,915.2(20% out if 6,144 = 1,228.8 | 6,144 - 1,228.8 = 4,915.2)
if you subtract 13 from my number and multiply the difference by -4, the result is -40, what is the number?
Answer:
23
Step-by-step explanation:
let the number = X
subtracting 13 from X = X -13
multiplying the difference by -4= (X -13)×-4
the result is -40 means (X-13)×-4=-40
(X- 13)×-4 = -40
-4 X +52 = -40
collect like term
-4 X = -40-52
- 4X = -92
dividing bothsides by -4
-4 X /-4 = -92/-4
X = 23
the quation is 8=z/6 please help me solve this algebraic equation......
Answer:
to find z
Step-by-step explanation:
8=z/6
z=6 x 8
z= 48
nth term of -4 ,1, 12 ,29, 52
Answer:
[tex]3n^2-4n-3[/tex]
Step-by-step explanation:
The difference between each number is 5,11,17,23 and the difference between these numbers is 6. So by dividing 6 by 2, you get the n^2 co-efficient which in this case is [tex]3n^2[/tex].
Then compare the [tex]3n^2\\[/tex] pattern to the original pattern so:
-4, 1, 12, 29, 52
3, 12, 27, 48, 75
Subtract the original nth term sequence by the new [tex]3n^2\\[/tex] pattern and you will get:
-7, -11, -15, -19, -23
The nth term of this new sequence is -4n-3.
By combining the 2 nth terms together, you get [tex]3n^2-4n-3[/tex].
Hope this helps!
Solve the system of equations.
5x−4y=−10
−4x+5y=8
Answer:
(- 2, 0 )
Step-by-step explanation:
5x - 4y = - 10 → (1)
- 4x + 5y = 8 → (2)
multiplying (1) by 4 and (2) by 5 and adding result will eliminate x
20x - 16y = - 40 → (3)
- 20x + 25y = 40 → (4)
add (3) and (4) term by term to eliminate x
9y = 0 , thus
y = 0
substitute y = 0 into either of the 2 equations and solve for x
substituting into (1)
5x - 4(0) = - 10
5x - 0 = - 10
5x = - 10 ( divide both sides by 5 )
x = - 2
solution is (- 2, 0 )
PLEASE HELP I BEG YOU! IF I DONT FINISH MY CLASS TODAY I HAVE TO MOVE SCHOOLS
A printing service charges a set-up fee of $11.00 for each order and 15 cents more for each copy. The total cost, c (in dollars), for an order of x copies is given by the following function.
C(x)=11.00+0.15x
What is the total cost for an order of 40 copies?
Answer:
$17 ( 17 USD )
Step-by-step explanation:
C(x)=11.00+0.15x
40 copies:
C(40) = 11+0.15(40)
C(40) = 11+6
C(40) = $17
Therefore, the total cost for an order of 40 copies is $17.
Hope this helps!!!
Please mark as brainliest!!!
P.S. I guess you don't have to change schools now?
Graph f(x) = x2 − 6x + 5? (1 point) 30 pts
Answer:
Direction: Opens Up
Vertex:(3,−14)
Focus:(3
Step-by-step explanation:
hope this help if not let me know have a blessed day
If the perimeter of a pool is 102ft, and the length is 6 more than twice the width, what are the dimensions?
The charge for electricity consumption E is partly constant and partly varies as the number N of units used. The charge for 82 units is N 3,655 while the charge for 42 units is N 2055:
a) calculate the charge per unit of electricity
b) obtain a formula for E in terms of N
The charge per unit of electricity is #415
The formula for E in terms of N is E = 375 + 40N
What is variation?Variation is a mathematical term that establishes the relationship between quantities and variables in an equation.
Analysis:
E = K + CN
where K and C are constants
When E = 3655, N = 82 and when E = 2055, N = 42
3655 = K + 82C ---------------1
2055 = K + 42C----------------2
subtract equation 2 from 1
40C = 1600
C = 40
substitute C in equation 1
3655 = K + 82(40)
3655 = K + 3280
K = 3655 - 3280 = 375
charge per unit is N = 1
E = 375 + 40(1) = #415
Formula for E in terms of N is E = 375 + 40N
In conclusion, the charge per unit of electricity is 415 and the equation connecting E and N is E = 375 + 40N
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Cacular m<) ABC
Ayuda
Answer:
m∡ABC=140º
Step-by-step explanation:
pls help sixowiskosixo
The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4
Quadratic EquationQuadratic equation are polynomials with a second degree as it's highest power.
An example of a quadratic equation is
[tex]y = ax^2 + bx + c[/tex]
The given quadratic equation is [tex]24x^2 + 2x = 15[/tex]
Let's rearrange the equation
[tex]24x^2 + 2x = 15\\24x^2 + 2x - 15 = 0[/tex]
This implies that
a = 24b = 2 c = -15The equation or formula of quadratic formula is given as
[tex]y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]
We can substitute the values into the equation and solve
[tex]y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\y = \frac{-2 +- \sqrt{2^2 -4 * 24 * (-15)} }{2*24} \\y = \frac{-2+-\sqrt{4+1440} }{48} \\y = \frac{-2+-\sqrt{1444} }{48} \\y = \frac{-2+- 38}{48} \\y = \frac{-2+38}{48} \\y = \frac{3}{4}\\ \\or\\y = \frac{-2-38}{48} \\y = \frac{-40}{48} \\y = -\frac{5}{6}[/tex]
From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4
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A customer purchased 1/2 pound of ham,1 pound of turkey,1/4 pound of roast beef,and 2 1/2 pounds of salami. Approximately how much did the customer pay for all the meat?
THE CHART
Ham-$5.99
Turkey-$4.99
Roast beef-$6.99
Salami-$2.99
bologna-$3.99
Answer:
Step-by-step explanation:
since this answer wants an approximation, we can round the cost up
Ham- 6 1/2 of 6 = 3
Turkey- 5 1 pound of turkey= 5
Roast Beef- 7 1/4 of 7= 1.75
Salami- 3 2 x 3= 6 1/2 of 3= 1.5 = 7.5
bologna- 4 No bologna was purchased.
3+5+1.75+ 7.5= 17.25 which is approximately 17.
Natalie is hiking up a mountain while Simone is hiking down. When Natalie begins to ascend, Simone begins to descend at the same time. The graph shows Natalie’s elevation in feet over time in minutes. The table shows Simone’s elevation at different times. Who is hiking at a faster rate? Show your work.
To know who is hiking at a faster rate, calculate the rate for each hiker using the formula distance/ time and compare the rates.
How to find out who is faster?Calculate how fast each hiker moves or the rate for each hiker.Compare the rates.How to calculate the rate?The rate is equal to distance divided by time. For example,
Natalie travels 100 meters in 5 minutes:100/ 5 = 25 meters per minute.Note: This question is incomplete because the graphs are not provided; due to this, the answer is based on general knowledge.
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I need help I don’t know the answer
Answer:
Option 2
Step-by-step explanation:
Height of lemon tree = 8
Height of date tree = 8 x 3
On comparing, we understand that the date tree is 3 times as tall as the lemon tree.
Answer:
the answer is B or the second one
Step-by-step explanation:
8 x 3 = 24
the data tree is 3 times as tall as the lemon tree
5. mr. and mrs. pinkerton have four boys. every time people notice this they comments to
the odds of this happening. the pinkertons decide to set up a simulation with 10 trids to
determine the probability,
The simulation that can best represent the chances of the Pinkertons having a boy or a girl is Flipping a coin.
What best shows the chances of having either a boy or girl?The question asks for the simulation that can represent the likelihood of having a boy or a girl.
Because there are two outcomes, they each have a 50% probability.
A good simulation to show this would therefore be flipping a coin because this has two outcomes as well which are heads or tails.
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What is the cotθ in the right triangle shown?
2. The diameter of sphere is 10 cm. Find the volume.
3. Juice is sold in aluminum cans that measure 7 inches in height and 4 inches in diameter. How many cubic inches of juice are contained in a full can?
4. The square pyramid has a volume of
297 cm3. The area of the base is 81 cm2. What is the height?
5. A glass is 10 cm deep and 8 cm wide. How much liquid can the glass hold?
6. A glass pyramid has a height of 6 inches. Its rectangular base has a length of 4 inches and a width of 2.5 inches. Find the volume of the glass.
7. A cylinder made of quartz has a volume of 5.8 cm3. If the radius is 2 cm, find the height.
8. Find the volume of a cone with a diameter of 10 meters and a height of 5.1 meters.
9. What is the volume of a sphere with a diameter of 18 ft?
10. Find the volume of a pyramid with a rectangular base measuring 6 cm by 4 cm and height 11 cm.
answer pls
The volume of the sphere will be V = 1570.79 cubic cm.
What is volume?The Volume of the sphere is the amount of quantity, which is obtained in the 3-dimensional space. A sphere is a circular ball type three dimensional object.
Given that:-
The diameter of the sphere is 10 cmThe volume of the sphere will be calculated as:-
V = 4 π r³
V = 4 x π x ( 5)³
V = 1570.79 cubic cm
Therefore the volume of the sphere will be V = 1570.79 cubic cm.
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Jocelyn decides to research the relationship between the length in inches and the weight of a certain species of catfish. She measures the length and weight of a number of specimens she catches, then throws back into the water. After plotting all her data, she draws a line of best fit. Based on the line of best fit, how much would you predict a catfish with a length of 32 inches would weigh?
The amount I can predict a catfish with a length of 32 inches would weigh is 28in.
What is the catfish measurement about?Let say the fraction is = yx + b
m = [tex]\frac{20-4}{23-20}[/tex]
= 6/3
=2
Note also that 4= 2 x 20 x b
Make b the subject of the formula and it will be=
B= -36
Therefore, the function will be:
Y= 2x - 36
If x = 32
Then y = 2. 32 - 36
=28
Therefore, the amount I can predict a catfish with a length of 32 inches would weigh is 28in.
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