If EG = 3y - 10 and ET = 2y, find the value of y In parallelogram FGHI.
1
Find Value of y.
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Work Shown:
EI = EG
3y-10 = 2y
3y-10-2y = 0
y-10 = 0
y = 0+10
y = 10
Note how if y = 10, then
EI = 3y-10 = 3*10-10 = 20EG = 2y = 2*10 = 20Both EI and EG are 20 units long when y = 10. This confirms the answer.
Write an equation and solve. Round to the nearest hundredth where necessary.
What is 25% of 96?
A.) n • 0.25 = 96; 384
B.) n = 0.25 • 96; 24
C.) n = 25 • 0.96; 24
D.) n = 25 • 96; 2400
Answer:
see explanation
Step-by-step explanation:
I think its c n=25. 0.96; 24
Describe the translation
Answer:
D
Step-by-step explanation:
-2 --> 2 = +4
5 --> - 3 = -8
<4, -8>
HELPPP!!!!!!!!!!!!!!!! PLEASE! :D
Answer:
The solution to the inequality is:
[tex]-1\le \:x\le \:3[/tex]
The line graph of the solution is also attached.
Step-by-step explanation:
Given the expression
[tex]4x-1\:\le \:5x\:\le \:3\left(x+2\right)[/tex]
solving the expression
[tex]4x-1\:\le \:5x\:\le \:3\left(x+2\right)[/tex]
[tex]\mathrm{If}\:a\le \:u\le \:b\:\mathrm{then}\:a\le \:u\quad \mathrm{and}\quad \:u\le \:b[/tex][tex]4x-1\le \:5x\quad \mathrm{and}\quad \:5x\le \:3\left(x+2\right)[/tex]
solving
[tex]4x-1\le \:5x[/tex]
Add 1 to both sides
[tex]4x-1+1\le \:5x+1[/tex]
Simplify
[tex]4x\le \:5x+1[/tex]
Subtract 5x from both sides
[tex]4x-5x\le \:5x+1-5x[/tex]
simplify
[tex]-x\le \:1[/tex]
Multiply both sides by -1 (reverse inequality)
[tex]\left(-x\right)\left(-1\right)\ge \:1\cdot \left(-1\right)[/tex]
Simplify
[tex]x\ge \:-1[/tex]
Similarly solving
[tex]5x\le \:3\left(x+2\right)[/tex]
Subtract 3x from both sides
[tex]5x-3x\le \:3x+6-3x[/tex]
Simplify
[tex]2x\le \:6[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}\le \frac{6}{2}[/tex]
Simplify
[tex]x\le \:3[/tex]
So combine the interval
[tex]x\ge \:-1\quad \mathrm{and}\quad \:x\le \:3[/tex]
Merge overlapping intervals
[tex]-1\le \:x\le \:3[/tex]
Therefore, the solution to the inequality is:
[tex]-1\le \:x\le \:3[/tex]
The line graph of the solution is also attached.
A woman weighed 100 pounds 5 years ago. This year, the woman weighs 115 pounds. What percent increase is this?
Answer:
15 Percent
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!!!
The hummingbird population on an island is declining at a rate of 1.4% per year. The population was 5500 in the year 2009.
What is the best prediction of the hummingbird population in the year 2016?
Enter your answer, rounded to the nearest integer, in the box.
The hummingbird population will be
Answer: 4983
Step-by-step explanation:
Initial population P=5500
Population declining at the rate of 1.4%
So, in the year 2010 population is
[tex]P=5500-5500\times1.4\%=5500(1-1.4\%)[/tex]
For the year 2011
[tex]P=5500(1-1.4\%)^2[/tex]
similarly, for the year 2016
no of years passed 2016-2009=7 years
[tex]P=5500(1-1.4\%)^7[/tex]
[tex]P=5500\times0.986^7\\P=5500\times0.90602\\P=4983.117\approx 4983[/tex]
Please explain how to do this
Answer:
You do this by finding the area by each rectangle then the area of the quarter of the circle? (dont know what to call it) Then add it and round to the nearest tenth
Step-by-step explanation:
1. What is the supplement of an angle measuring 35°? 2. What is the complement of an angle measuring 70°?
PLEASE HELP
Answer: Q1.=145, Q2.=20
Step-by-step explanation:
two supplementary angles equal 180
1. 180-35=145
2 . complementary angles , both add up to 90
90-70=20
Decide whether there is enough information to prove that a∥b. If so, state the theorem you would use.
Answer: C) Yes, Alternate Exterior Angles Converse
The two red angles are on the outside of the lines a and b, so they are considered exterior. They alternate on either side of the transversal line. So we consider those red angles to be alternate exterior angles. We'll use the alternate exterior angles converse to prove the lines parallel. That converse states: "If alternate exterior angles are congruent, then the lines are parallel".
Solve the equation: 3(x + 2) = 40.2 *
please help
Answer: x=11.4
Step-by-step explanation: 3(x+2)=40.2
(3)(x)+(3)(2)=40.2
3x+6=40.2
3x+6−6=40.2−6
3x=34.2
3x /3 = 34.2 /3
x=11.4
Which inequality is true
Pls answer
Answer:
d
Step-by-step explanation:
Can someone help me please thanks.
Answer:
1/125
Step-by-step explanation:
(1/5)³ = 1/125
1³ = 1
5³ = 125
Answer:
Step-by-step explanation:
this looks like 1/5 * 1/5 * 1/5
multiply the tops ( numerators) and the bottoms (denominators)
tops are 1
bottoms are 125
1/125
:)
HELP this is the 7th time i post this!!!!!!!!!!!!!!!!!!!!
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses.
b. 2x - 7 and the opposite of 2x
Answer:
(2x-7)+ (-7)
Step-by-step explanation:
sum: 2x-7 + -2x
-7
an equivalent expression would be 3x-7-3x, or anything else that simplifies to -7
CLEAR HIGHLIGHTING
COLOR THEME
ZOO
6. Ricky rolls a fair six-sided number cube, numbered 1 through 6, if he rolls the
dice 18 times. How many times should Ricky expect to roll an even number
Arian has 780 in a savings account that earns 2.5% simple interest annually. How much money will be in her account if she does not make any deposits or withdrawals in 2 years?
Answer:
819
Step-by-step explanation:
We solve the above question using simple interest
The formula for the total amount in a bank amount when it earn simple interest annually is:
A = P(1 + rt)
When
P = Initial amount in the account = 780
r = Simple Interest rate = 2.5% = 0.025
t = 2 years
A = 780(1 + 0.025 × 2)
A = 780(1 + 0.050)
A = 780(1 .050)
A = 819.00
The amount of money that will be in her account if she does not make any deposits or withdrawals in 2 years is 819.
A line has this equation: y = x + 4 Write an equation for the perpendicular line that goes through (2, 5).
Answer:
y = -x + 7
Step-by-step explanation:
y = x + 4 slope: 1
slope of perpendicular line: -1
for (2,5) y interception (b) = y - mx = 5 - (-1)*2 = 7
equation: y = -x + 7
check: -x+7 = -2+7 =5
Find the angle represented by x. (rounded to the nearest tenth of a degree)
what is the formula for finding missing angles of a triangle
Answer:
Now that you are certain all triangles have interior angles adding to 180° , you can quickly calculate the missing measurement. You can do this one of two ways: Subtract the two known angles from 180° . Plug the two angles into the formula and use algebra: a + b + c = 180°
The diameter of a circle is 20 centimeters.
What is the length of its radius?
Answer:
10 cm
Step-by-step explanation:
Diameter= 2X radius
20/ 2 = radius
20/2 = 10 cm
Circle C has radius 5 and center C(6,-2). What is the equation of circle C ?
The equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Equation of a circle
The equation of a circle is [tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex] where r is the radius and (h,k) is the center of a circle.
How to find the equation of a circle for the given condition?The radius of a circle is 5.
Also, the center of a circle is (h,k) = (6,-2)
So, the equation of a circle is [tex](x-6)^{2}+(y-(-2))^{2} =5^{2}[/tex]
Simplify further the above equation.
[tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Thus, the equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Hence, option (D) is correct.
Learn more about the equation of a circle here-
https://brainly.com/question/10618691
#SPJ2
someone do these please!
Answer:
I think the first option is better.
Step-by-step explanation:
First : 5.75% of $5000 is 287.5. 287.5 * 24 = 6900
And 6.55 of $5000 is 325. 325 * 36 = 117000
If she takes the first option it would be better because it is nearer to what she can afford. It is also better because it helps her make more than 5000 in less time.
HOPE THIS HELPED.
IF IT DOESN'T PLEASE COMMENT.
HELPPPPPPPPPPPPPPPPPPPPPPPP
Which of the following expressions is a common factor when the expressions x2 – 9 and x2 – 5x + 6 are factored?
A.
x + 3
B.
x2
C.
x – 3
D.
x – 2
I need help please i need step by step help
The perimeters of the triangles shown are equal. Find the side lengths of each triangle.
Answer:
type the variable of that segment into the boxes correspondingly
Step-by-step explanation:
A medicine works 3 out of 4 times to alleviate allergy symptoms in patients. In a trial, 2 patients are chosen at random. Which simulation can be used to estimate the probability that the medicine will alleviate allergy symptoms in either or both patients?
Answer:
i have the same quetion i really need help
Step-by-step explanation:
Answer:
Choose a marble from a group of 3 red marbles and 1 blue marble. Replace the marble and repeat.
What’s the answer to this?
Answer:
I would say the answer is c p=6n+18 because im thinking you are dealing with input-output
Step-by-step explanation:
What are the numbers of pi? All of the numbers please. Like all of them. PLEASE QUICK!!!
Answer:
Umm infinite, pi is a irrational number, it is ever ending
Step-by-step explanation:
I only know liek 60 digits :P
3.14159265358979323846264338327950288419716939937510
Somthing like that
Emma had $2.40 to spend on seven pencils. After buying them she had $1.00. How much did each pencil cost?
Answer:
Each pencil costs 20 cents
Step-by-step explanation:
2.40 - 1 = 1.40
1.40/7 = 0.2
Answer:
$0. 20
Step-by-step explanation:
emma had $2.40 but she spent $1.40 on 7 pencils
if she bought 7 pencils and had $1.00 left
so you would do $2.40 - $1.00 because she had $1.00 left after she bought the pencils.
the answer would be $1.40 because that is how much she spent and you divide that by 7 because she bought 7 pencils.
so 140 divided by 7 = 20
but since its $ dollars you put it into cents leaving you with the answer
$)0.20
How long is a string reaching from the top of a 15 ft pole to a point 8ft from the bottom of the pole
Answer:
15.8
Step-by-step explanation:
So top of 15ft + 0.8 ft = 15.8 ft
meaning the strings needs tobe 15.8 ft long
The figure below is the graph of the dimensions of a rectangle whose adjacent side lengths exhibit Inverse Variation (1,4) (2,2) (8,0.5) (16,0.25)
Answer: true
Step-by-step explanation: