Given:
In triangle [tex]EFG, m\angle E = 5x, m\angle F=6x[/tex] and extirior angle G is 110 degrees.
To find:
The measure of angle FEG.
Solution:
Exterior angle theorem, the sum of two interior angles of a triangle is equal to the opposite extirior angle.
Using extrior angle theorem in triangle EFG, we get
[tex]m\angle E+m\angle F=\text{Measure of extirior angle }G[/tex]
[tex]5x+6x=110^\circ[/tex]
[tex]11x=110^\circ[/tex]
[tex]x=\dfrac{110^\circ}{11}[/tex]
[tex]x=10^\circ[/tex]
Now,
[tex]m\angle FEG=5x[/tex]
[tex]m\angle EFG=5(10^\circ)[/tex]
[tex]m\angle EFG=50^\circ[/tex]
Therefore, the measure of angle FEG is 50 degrees. So, option C is correct.
I will give brainliest to whoever gives correct answer first!
A short term loan of £60000 is taken for 15 weeks. Simple interest is charged at 17.5% p.a.
How much needs to be repaid altogether?
Answer:
Kahe be kaha se ba see u online ba hahahaha
Answer:
$ 100,000,000,000 is required to repay
Please help will give brainliest
Answer:
D
Step-by-step explanation:
40% = [tex]\frac{40}{100}[/tex] = [tex]\frac{2}{5}[/tex] ← in simplest form
Then
[tex]\frac{2}{5}[/tex] of $120 = [tex]\frac{2}{5}[/tex] × $120 = 2 × $24 = $48
she pays $120 - $48 = $72
Harmony left her dad’s store to go home at twenty to seven in the evening. Forty minutes later, she was home. What time was it when she arrived home?
Answer:
8:00 in the morning .....
Answer:
7:20 pm
Step-by-step explanation:
the phrase "twenty to seven in the evening" implies that is twenty minutes before 7:00 pm, meaning the current time was 6:40 pm.
Adding the 40 minutes it took Harmony to get home, the time would have been 7:20 pm
The perimeter of a rectangle is represented by the expression 6x + 4. If the width of the rectangle is represented by the expression x – 1, which expression represents the length? 4x + 6 4x – 6 2x + 3 2x + 6
Answer:
2x + 3
Step-by-step explanation:
two sides measure (x-1) which gives 2(x-1) or 2x - 2
subtract 2x - 2 from 6x + 4 to get 4x + 6
4x + 6 represents twice the length so divide it in half to get:
2x + 3
Answer:
The perimeter of a rectangle is represented by the expression 6x + 4. If the width of the rectangle is represented by the expression x – 1, which expression represents the length?
4x + 6 4x – 6 2x + 3 <<<CORRECT 2x + 6
Step-by-step explanation:
EDGE 2021
will give brainlist or whatever.
Meredith has $5.10 in quarters and dimes. She has 24 coins in all. How many quarters and how many dimes does she have?
Aubree recorded the grade-level and instrument of everyone in the middle school School of Rock below.
Seventh Grade Students
Instrument # of Students
Guitar 9
Bass 12
Drums 4
Keyboard 7
Eighth Grade Students
Instrument # of Students
Guitar 12
Bass 14
Drums 5
Keyboard 8
Based on these results, express the probability that a seventh grader chosen at random will play an instrument other than drums as a percent to the nearest whole number.
Answer:
88%
Step-by-step explanation:
probability of 7th grader playing other instruments apart from drum = total number of students not playing drum / population of the 7th grade class
total number of students not playing drum = 9 + 12 + 7 = 28
population of the 7th grade class = 28 + 4 = 32
28/32 = 0.875
to express in percentage multiply by 1000 = 87.5%
To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
88%
PWEASE HELP, PWEASE PWEASE PWEASE HELP
Answer:
Length of rectangle parking lot = 94 m
Width of rectangle pool = 85 m
Step-by-step explanation:
Given:
Perimeter of rectangle = 300 m
Width of rectangle parking lot = 56 m
Find:
Length of rectangle parking lot
Area of rectangle pool = 8,245 m²
Length of rectangle pool = 97 m
Find:
Width of rectangle pool.
Computation:
1. Perimeter of rectangle = 2[l+b]
2[56 + l] = 300
56 + l = 150
Length of rectangle parking lot = 94 m
2. Area of rectangle = L x B
97 x Width of rectangle pool = 8,245
Width of rectangle pool = 85 m
Answer:
The length of the rectangle parking lot is 94 meters.
Rectangle pool width = 85 m
Step-by-step explanation:
i hope it helpss
A deli offers 3 different kinds of bread and 8 different kinds of toppings on its submarine sandwiches. How many different sandwiches are possible?
Answer:
I think too that many different will be there in case such things ..
how many ways can 5 friends sit together at the movies in 5 seats?
Answer:
120
Step-by-step explanation:
The number of friends is 5 and there are 5 seats only. So , we can find it out with the help of permutations ,
[tex]\implies ^n P_r = \dfrac{n! }{(n-r)!} [/tex]
⇒ 5! / (5-5)!
⇒ 5! / 1!
⇒ 5!
⇒ 5 × 4 × 3 × 2 × 1
⇒ 120
Hence there are 120 ways by which 5 friends sit together at the movies in 5 seats.can someone pls help me
Answer:
x=−8 and y=−4
Step-by-step explanation:
8x−17y=4;−8x+15y=4
add eqn1 and 2
to eliminate x
you will get y=-4
put it zin eqn 1
x=-8
A train travels 60 miles in 30 minutes. How long will it take (in minutes) for the train to travel 180 miles?
Answer:
It will take 90 minutes for the train to travel 180 miles.
Step-by-step explanation:
180 ÷ 60 = 3
3 × 30 = 90
Answer:
90 minutes
Step-by-step explanation:
60+60+60=180
30+30+30=90
Nieves y Ana juegan tres partidas partidas. Nieves tenía 10 cromos y Ana 80. En la primera partida ganó Nieves y elevó sus cromos al cuadrado, en la segunda perdió el cubo de 3, y en la tercera perdió el cuadrado de 4. ¿Cuántos cromos les quedan a Ana y a Nieves?¿Quién ha ganado?
Answer:
A Nieves le quedan 57 cromos y a Ana 33.
Nieves ha ganado 47 cromos
Step-by-step explanation:
Para la primera partida, el cuadrado de los cromos de Nieves es de 100.
El cubo de 3 es 27. Nieves queda con 100-27 = 73 cromos
El cuadrado de 4 es 16. Nieves queda con 73-16 = 57 cromos
A Nieves le quedan 57 cromos
A Ana 90-57 = 33 cromos
Así, Nieves ha ganado 57-10 = 47 cromos
Mark hits a tennis ball into the air. He uses the equation shown to approximate the
height, h, in feet, of the ball t seconds after he hits it.
h = -1612 +886 + 4
What does the 4 represent in Mark's equation?
A.
The ball was in the air for a total of 4 seconds.
B.
The ball landed 4 feet away from where Mark hit it.
C.
The ball was 4 feet above the ground when Mark hit it.
D.
The ball reached its maximum height 4 seconds after Mark hit it.
Answer:
C. The ball was 4 feet above the ground when Mark hit it.
Step-by-step explanation:
After he hit the tennis ball into the air, the ball was 4ft above the ground.
hope this helps and is right. p.s i really need brainliest :)
if my answer is wrong then I am incredibly sorry!
Landon used a semicirce, a rectangle, and a right triangle to form the figure shown.
6 cm
4 cm
- 10 cm
Which is the best estimate of the area of the figure in square centimeters?
A S2 cm
B 44 cm
C 26 cm
D 38 cm
Answer: the answer will be 38 centimeters
Step-by-step explanation:
HELP PLEASE 15 POINTS
Find the value of x in the triangle shown below.
56°
31
x
Jennifer's grandma bought her a $50 savings bond when she was born. When Jennifer is 30 years old, the bond will have earned 110% in interest. How much will the bond be worth when Jennifer is 30 years old?
Answer:
105$
Step-by-step explanation:
We are told that she starts with 50$
We are also that after 30 years she earns 110% on interest
Given this information we need to find the value of the bond after the 30 years
To do so we take 110% of the initial value (50$) and add that to the initial value
So the answer = 110%(50) + 50
110%*50=55
55+50=105
So in 30 years the bond will be worth 105$
What is the largest Angle of BCD?
Answer:
< C
Step-by-step explanation:
because 23 is the largest number on the triangle so the angle opposite of that side would be C
The radius of a circle is 17.8 ft. Find the circumference to the nearest tenth.
Find the volume of the rectangular prism. Write your answer in simplest form. No links please
Answer:
0.055m³
Step-by-step explanation:
V = w × h × l = 0.11 × 0.73 × 0.65 = 0.054611m³
what is 5x-9+2-4=9.4
Answer:
x=5.1
Step-by-step explanation:
5x-9+2-4=9.4
5x=9.4+4-2+9
5x=20.4
x=5.1
The red line and the blue line buses both stop at the football stadium. A red line bus and a blue line bus both left the stadium at 6:00 p.m. red line buses are scheduled to leave the stadium every 6 minutes. blue line buses are scheduled to leave the stadium every 8 minutes. If the buses run on schedule, when is the next time a red line and a blue line bus will leave together?
A.6:24 pm
B6:36 pm
C.6:48 pm
D. 7:00
Answer:
A - 6:24
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!!!!!!
Answer:
15 ⁵⁴ this is he answer
Step-by-step explanation:
Because
15= ⁶×⁹ = 53
Answer:
A=15^-54 is the answer to the question
Which of the following constants can be added to x^2- 3x to form a perfect square trinomlal?
A. 2 1/4
B. 1 1/2
C. 4 1/2
Answer:
A 21/4
Step-by-step explanation:
When forming a perfect square trinomial you need to "complete the square".
All of the steps to completing the square when solving an equation:
1. The leading coefficient must be 1.
2. Divide b by 2.
3. Square (b/2)
4. Add (b/2)^2 to both sides to keep the polynomial balanced.
5. You can now write the perfect square trinomial and solve.
x^2 - 3x
-3/2
(-3/2)^2 = 9/4 = 2 1/4
What is the perimeter, in units, of Rectangle WXYZ?
Answer:
I'm pretty sure it's 72, if not i'm sorry
A figure is shown on the grid. Which of the transformations
would NOT lead to a figure that is congruent to the figure
shown?
Select one:
1-Dilation
2-Reflection
3-Rotation
4-Translation
OLEASE HELLPP I will mark good
Which equation represents a line that passes through the points (4, 5) and (6, 9)? A. y = 2x-3 B. y - 3x-7 C. y= x + 3 D. y- + x + 7
Answer:
A) y=2x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-5)/(6-4)
m=4/2
m=2
y-y1=m(x-x1)
y-5=2(x-4)
y=2x-8+5
y=2x-3
3.
Find the length of a rectangular prism if the volume is 70 m3, the width is 2 m, and the height is 7 m.
5 m
8 m
7 m
6 m
Answer:
5 m
Step-by-step explanation:
Use the volume formula, V = lwh
Plug in the volume, width, and height, then solve for l (the length)
V = lwh
70 = (l)(2)(7)
70 = 14l
5 = l
So, the length of the rectangular prism is 5 m
Answer:
Solution :-We have
Volume = 70 m³
Width = 2 m
Height = 7 m
Length = Volume/Width × Height
Length = 70/2 × 7
Length = 70/14
Length = 5 m
[tex] \\ [/tex]
A rectangle is 4 miles longer than it is
wide. Find the dimensions of the
rectangle if its area is 221 sq-miles.
Answer:
1283 miklis
Step-by-step explanation:
Answer:
The lenght is 17 milesThe wide is 13 milesLet / l : the lenght of the rectangle
w : the wide of the rectangle
Step-by-step explanation:
[tex]a = l \times w \\ 221 = (w + 4) \times w \\ 221= w^{2} + 4w \\ {w}^{2} + 4w - 221 = 0 \\ (w + 17)(w - 13) = 0 \\ either \: w + 17 = 0 \\ so \: w = - 17 \: mile \: \: \: \: neglect \\ or \: w - 13 = 0 \\ so \: w = 13 \\ l = w + 4 \\ l = 13 + 4 = 17 \: mile[/tex]
I hope that is useful for you