In the diagram, ABC is an equilateral triangle, BCFG is a square and CDEF is a rectangle. The perimeter of the whole diagram is 65cm, find the length of GE
Answers
Answer:
22 cm
Step-by-step explanation:
the perimeter = AB+BG+GF+FE+ED+DC+CA
= 65 cm
7+7+7+FE+7+DC+7=65 => FE = CD
35+ 2FE = 65
2FE = 65-35
= 30
FE = 30/2 = 15
so, GE = GF + FE
= 7+15 = 22 cm
Related Questions
what is the answer to f (x) = 4x + 11
Answers
Step-by-step explanation:
x=4x+11
11=4x-x
11=3x
x=11/3
x=37
In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?
Answers
Answer: The ratio that represents the cosine of ∠T is [tex]\frac{56}{65}[/tex]
Step-by-step explanation:
We are given:
UV = 56 units
VT = 33 units
UT = 65 units
∠V = 90°
Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.
[tex]\cos \theta=\frac{\text{base}}{\text{hypotenuse}}[/tex]
Base of the triangle is UV and the hypotenuse of the triangle is TU
Putting values in above equation, we get:
[tex]\cos \theta=\frac{UV}{TU}=\frac{56}{65}[/tex]
Hence, the ratio that represents the cosine of ∠T is [tex]\frac{56}{65}[/tex]
PLEASE HURRY!! NEED IT ASAP!! WILL MAKE BRAINLIEST
Question 1 of 10
Which choice is equivalent to the expression below when y > or equal to 0?
Answers
Answer:
I think B
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
[tex]\sqrt{y^3} +\sqrt{9y^3} -3y\sqrt{y} \\=\sqrt{y^2 *y} +\sqrt{9*y^2*y} -3y\sqrt{y} \\=y\sqrt{y} +3y\sqrt{y} -3y\sqrt{y} \\=y\sqrt{y}[/tex]
the length of each side of a nonagon is 3.25cm the perimeter of the nonagon is?
a,12.25
b,29.25m
c,29.25
d,none
Answers
Answer:
,29.25m
Step-by-step explanation:
maybe answer is correct
Answer: B. 29.25 cm
Step-by-step explanation:
Given
The prefix nona- came from Latin meaning "nineth"
Thus, nonagon has 9 sides
Solve
1 side = 3.25 cm
9 sides = 3.25 × 9 = 29.25 cm
Hope this helps!! :)
Please let me know if you have any question
What is the difference between calculating the area and calculating the perimeter of a rectangle?
Answers
Answer:
For perimeter you add up the side lengths to get the perimeter but for area you multiply the length times width (L x W )to get area.
Step-by-step explanation:
The Rivera family bought a new tent for camping. The front of the old tent is a triangle with equal sides of 3.2 m and a floor width of 4.8 m. If the new tent is similar in shape to the old tent and has equal sides of 4 m, how wide is the floor of the new tent?
Answers
Step-by-step explanation:
is 4393 is divisible by which number
Answers
Answer:
4393 is divisible by 1 ,23 and 191
Answer:
the answer is 23
Step-by-step explanation:
Y varies directly with the square of x. If y=40 when x=4, find y when x=7
Answers
Answer:
y = 245/2
Step-by-step explanation:
y = k x^2
Where k is the constant of variation
Let y= 40 and x=4
40 = k *(4)^2
40 = k*16
40/16 = k
5/2 = k
y =5/2 x^2
Let x=7
y = 5/2 (7)^2
y = 5/2(49)
y = 245/2
HELP ME !
Please!
Which of the following tables represents a function?
Answers
plz help me out with the answer and explaination
Answers
Answer:
7500 m
Step-by-step explanation:
5500 is the initial height. It increased by 1500, so 5500 + 1500 = 7000. Then it went down 2000 meters, so 7000 - 2000 = 5000. It went up 2500 again. 5000 + 2500 = 7500
Express tan J as a fraction in simplest terms
Answers
Answer:
3/4
Step-by-step explanation:
tangent is opp/ad
so that is 15/20, or 3/4
2
Solve the equation log, (3t+9) - log, 21 =1
Answers
Answer:
67
Step-by-step explanation:
log(3t+9)-log21 = 1
Applying, the law of logarithm,
log(3t+9)/21 = 1
converting the log into index
(3t+9)/21 = 10
solving for t
3t+9 = 21×10
3t+9 = 210
3t = 210-9
3t = 201
t = 201/3
t = 67
in a survey group of people 50% like to listen radio and 60% like to watch the television if 30 person of the middle listen to the radio not was the television and find the number of people who like to listen both the radio and television with a Venn diagram
Answers
Answer:
15 and 18 i hope it will help you
Which of the following statements must be true about a rhombus?
The consecutive sides of a rhombus are parallel.
The diagonals of a rhombus are perpendicular.
The diagonals of a rhombus are congruent.
The opposite angles of a rhombus are supplementary.
Answers
Answer:
Step-by-step explanation:
The diagonals of a rhombus are perpendicular
Answer: Choice B) The diagonals of a rhombus are perpendicular
=============================================================
Explanation:
Let's go through the answer choices to see which are true statements, and which are false.
A) This is false because consecutive sides must meet up at a vertex point, or else they won't be next to each other. Consecutive sides can never be parallel (regardless what type of quadrilateral we're dealing with, or any polygon for that matter). In other words, consecutive sides share a common point on both segments, which is why they're not parallel. Instead, it should be phrased as "opposite sides of a rhombus are parallel" which is a true statement. B) This is true. If the diagonals are perpendicular, then we could have either a kite or a rhombus. C) This is false. If the diagonals are congruent, then we have a rectangle. We could have a square (which is both a rhombus and a rectangle at the same time), but that's only for specific cases. In a more general sense, we could have a non-square rectangle that isn't a rhombus. D) This is false. A rhombus is a type of parallelogram. For any parallelogram, the opposite angles are always the same measure. The only time the angles are supplementary is when we have a rectangle; otherwise, the angles won't add to 180.I NEED HELP SOMEONE HELP ME OUTTTT!!!
Answers
Answer:
Tan A = [tex]\frac{21}{35}[/tex] = [tex]\frac{3}{5}[/tex] = .6
Step-by-step explanation:
SOH CAH TOA
Sin Ф = [tex]\frac{O}{H}[/tex]
Cos Ф = [tex]\frac{A}{H}[/tex]
Tan Ф = [tex]\frac{O}{A}[/tex]
Find the slope of the line that passes through (7, -1) and (15,9)
Answers
Answer:
5/4
Step-by-step explanation:
slope = rise/run
slope=y2-y1/x2-x1
slope=9-(-1)/15-7=10/8=5/4
So the answer is 5/4.
Answer:
5/ 4
Step-by-step explanation:
slope of a line is the rate of change of y co-ordinates with respect to the change in x co-ordinates.
therefore,
[tex]slope = \frac{9 - (-1}{15-7) } \\ = \frac{10}{8} \\ = \frac{5}{4} [/tex]
as we were given 2 points the rate of change of x and y co-ordinates will be equal to the difference between the values of each for the two points.
find x. need help w these 2, thanksss!
Answers
Answer:
f) 11
g) 75
please correct me if I am wrong
WILL GIVE BRAINLIEST!!!
CR and DS are perpendiculars dropped from AB to PQ, and AB is perpendicular to CR and DS. If CR = DS, which statement must be true?
A. m
B. m
C. m
D. m
E. m
Answers
Answer:
The answer is C.) m∠RCD = m∠ACD ÷ 2
RCD = ACD divided by two.
RCD = 90 degrees
ACD ÷2 = 180÷2 = 90 degrees.
So, your answer is C.
Hope this helped. Have a grey day!
Answer:
C. m∠RCD = m∠ACD ÷ 2
Hope this helps!
Step-by-step explanation:
I got it right.
Which of the following terms is best described as the point halfway between
the endpoints of a line segment?
O A. Midpoint
O B. Ordered pair
O C. Coordinate
O D. Vertex
Answers
Two cylinders are similar. The surface
area of one is 64 cm2, and the surface
area of the other is 81 cm2. Find the
scale factor between them.
Enter the smaller number first.
scale factor =
[?]:[]
Answers
A monthly budget with expenses is shown.
Monthly Budget for a Family of Three
in San Antonio, Texas
Category Amount of Money
Rent $1,200
Food $800
Utilities $400
Gasoline $320
Auto insurance $250
Health insurance $420
Medical expenses $300
Childcare $360
Savings $300
Other $150
Problem
Which equation can be used to determine y, the minimum amount of money a family must earn to meet the requirements of this budget for one year?
Answers
Find the difference of the polynomials given below and classify it in terms of degree and number of terms.
Answers
Answer:
4th degree polynomial with 4 terms
Step-by-step explanation:
Given:
3n²(n²+ 4n - 5) - (2n² - n⁴ + 3)
Open parenthesis
= 3n⁴ + 12n³ - 15n² - 2n² + n⁴ - 3
Collect like terms
= 3n⁴ + n⁴ + 12n³ - 15n² - 2n² - 3
= 4n⁴ + 12n³ - 17n² - 3
Number 1 term is 4n²
Number 2 term is 12n³
Number 3 term is -17n³
Number 4 term is -3
The highest degree of the polynomial is 4th degree
Therefore,
The difference in 3n²(n²+ 4n - 5) - (2n² - n⁴ + 3) is
4th degree polynomial with 4 terms
Answer:
4th degree polynomial with 4 terms
Step-by-step explanation:
A tortoise moves forward 15 meters in one hour. It turns around and crawls 10 meters in the
next hour. Finally, in the third hour, it turns around again and crawls 8 more meters. How
much did the tortoise walk in total in 3 hours?
Answers
Answer:
Below.
Step-by-step explanation:
15+10+8=33.
Answer:
13 meters
Step-by-step explanation:
It went 15 meters, but then it went back 10 meters.
[tex]15-10=5[/tex]
Then it went 8 more meters.
[tex]5+8=13[/tex]
Hope this helped! Please mark brainliest :)
A swimmer can swim 50.2 meters in 1 minute. How far can he swim in half an hour? *
Answers
Answer:
1506meters
Step-by-step explanation:
1hour-60minutes
which means half an hour is 30minutes,so it's more like they are asking you to find how far the swimmer can swim in 30minutes
50.2-1min
x -30min
x=50.2×30
x=1506meters
Half an hour - 60 x 1/2 = 30
30 minutes = 30 x 50.2 = 1506 metres
yeaaaaaaaaaa help plzzzzzzzzzz
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
The attached graph
Required
Point on the line
The options are not given. So, I will provide general answers.
To do this, we simply write out the coordinates that lie on the line.
Some of them are:
[tex](0.5,3)[/tex]
[tex](1.25,8)[/tex]
[tex](1.5,10)[/tex]
Find the perimeter of ΔNOP. Round your answer to nearest tenth if necessary. Figures are not necessarily drawn to scale
Answers
Answer:
P = 157.5 units
Step-by-step explanation:
If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be
7
18
11
0
Answers
Answer:
please mark me brainlist
Step-by-step explanation:
13. Evaluate the function rule for the given value.
y = 4.2X for x = -6
Btw the x is the small exponent
Answers
Answer:
-25.2
Step-by-step explanation:
by replacing -6 on the place of x we get4.2(-6)=-25.2
Estimate the difference 5,290-436
Answers
Answer:
it will be
=> 4854
Step-by-step explanation:
hope it's helpful for you xd
Helppppp and explain pls and thankyouuu
Answers
Answer:
x=1
y= -1
z=2
Step-by-step explanation:
x+y+z=2 and x-y-2z=6
if z=2 then
x+y+2=2 and x-y+4=6
and these become
x+y=0 and x-y=2
usign linear cancellation method we get
2x=2
dividing both sides by 2 we get
x=1
then going back to one of the original equations and plugging x=1 and z=2 we get
1+y+2=2
solving for y we get
y= -1
