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.
A swimming pool shaped like a rectangular prism is 10 feet wide 12 feet long and is 6 feet deep. What is the volume of the pool in cubic inches?
Answer:
720 feet, 1920 inches
Step-by-step explanation:
The formula for Volume is Length x Width x Height, which is 10 x 12 x 6 which is equal to 720 feet, and 1920 inches!
Please help! Will give brainliest!
Solve the Following Questions. (show your work)
Part A.) A planet’s diameter is approximately 27,340,000 meters. What is that number in scientific notation?
Part B.) What is the product of 3.20 × 10–5 and 6.5 × 103?
Answer:
A = 2.734*10^7, B = .208
Step-by-step explanation:
A = 2.734*10^7
There are 7 decimal places from 0 to 10 million
B = .208
multiply 3.2 and 6.5, get 20.8, 10^3 * 10^-5 =10^-2
20.8 * 10^-2 = .208
Answer:
Part A)
[tex] 2.734\times 10^{7}\: meters [/tex]
Part B)
[tex] 0.208 [/tex]
Step-by-step explanation:
Part A)
[tex] 27,340,000 \: m = 2.734\times 10^{7}\: m [/tex]
Part B)
[tex] (3.20\times 10^{-5}) (6.5\times 10^3)[/tex]
[tex] =3.20\times 6.5 \times 10^{-5}\times 10^3[/tex]
[tex] =20.8 \times 10^{-5+3}[/tex]
[tex] =20.8 \times 10^{-2}[/tex]
[tex] =0.208 [/tex]
first come first sevred brainiest
Answer:
A.
1.
125
2.
47.5
B.
30
Exp.:
A.
1. (60x100)/48
2. 57/ 120(fraction) x 100% = 47.5%
B. (24×100)÷80
Ten members of Balin’s soccer team ran warm ups for practice. Each member ran the same distance. Their combined distance was StartFraction 5 Over 6 EndFraction of a mile. To find the distance that each member ran, Balin wrote the expression below.
Answer:
Each member ran (1/12) of a mile.
Step-by-step explanation:
We have 10 members of Balin's soccer team.
Each one of them ran a distance D.
We know that their combined distance was 5/6 of a mile.
And if each one of them ran the same distance D, then the combined distance is ten times D, or :
10*D
and this is equal to 5/6 of a mile, then we get the equation:
10*D = (5/6) of a mile.
We want to solve this for D, so we can divide both sides by 10:
10*D/10 = (5/6)/10 of a mile.
D = (5/10*6) of a mile
D = (5/10)/6 of a mile
D = (1/2)/6 of a mile
D = (1/2*6) of a mile
D = (1/12) of a mile.
This means that each member ran (1/12) of a mile.
Answer:
i cant find the right answersssss
Step-by-step explanation:
Tom is told by his doctor that he needs to lose 15 pounds if Tom now it's 285 pounds then by what percentage should Tom's week decrease
Answer:
the percentage is 5.56%
Step-by-step explanation:
The computation of the percentage that the tom should decrease is shown below:
As Doctor said tom to reduce 15 pounds
As of now the tom has 285 pounds
So after considering the 15 pounds, it would be
= 285 - 15
= 270 pounds
Now the percentage that should be considered is
= (285 - 270) ÷ (270)
= 5.56%
Hence, the percentage is 5.56%
Help me. My pet rat....er my sister needs help with 6th grade work.
Answer:
A
Step-by-step explanation:
Because if your going to divide a whole the whole number needs to be 3/1 so it A the mistake
Answer:
A.) Step 1
Step-by-step explanation:
The actual answer is g=4.
Trevor screwed up at Step 1.
His answer (g = 4/9) to Step 1 (g/3 ⋅ 3 = 4/3 ⋅ 1/3 ) is correct, but it's not the correct answer for g/3 = 4/3.
In Step 1, Trevor's equation was accurate, until the last number (1/3).
If he had flipped 1/3 to 3/1, he would've been correct.
g/3 ⋅ 3 = 4/3 ⋅ 1/3 ← MISTAKE.
Hope this helps out your pet ra- I mean sister.
Could someone help me?
The measures of the angles in an equilateral triangle are equal.
What is the measure of each angle of an equilateral triangle?
O A. 30?
B. 45?
C. 60?
O
D. 90?
O
Answer:
C. 60°
Step-by-step explanation:
because all angles in a triangle sum up to 180°
60°+60°+60°=180°
HELP HELP HELP HELP HELP PLEASEEE
Answer:
E and B
Step-by-step explanation:
PLEASE HELP due soon!I forgot how to do it omg
Answer:
(3, -3) is correct
Step-by-step explanation:
-4 × 3 = -12. -12 + 9 = -3
A car dealership pays a wholesale price of $12,000 to purchase a vehicle. The car dealership wants to make 34% profit. What is the mark up and retail price.
Answer:
$16080
Step-by-step explanation:
Given data
Wholesale price = $12,000
Profit = 34%
Let us find 34% of $12,000
=34/100*12000
=0.34*12000
=$4080
Hence the markup price is $4080
And the retail price is
=4080+12000
=$16080
The radius of a sphere with a surface area of 64
Answer:
2.257
Step-by-step explanation:
A video game rental store charges a $20 membership fee and $2.50 for
each video game rented. What is the linear equation that represents this
word problem?
Answer:
y = 2.50x + 20 ( the 2nd option)
1.26 - 0.06 (2 marks)
Answer:
1.2
Step-by-step explanation:
So in the picture, there is the working out I did (sorry for the bad writing). When you work out the question, remember to match the decimal points (I've done this in the pic). The answer I got was 1.20 but that is the same as 1.2.
hope this helps :)
Watch help video
Write an
explicit formula for An, the nth term of the sequence 32, 25, 18, ....
Answer:
[tex]\bold{a_n=-7n+39}[/tex]Step-by-step explanation:
25 - 32 = -7 and 18 - 25 = -7
It means an arithmetic sequence with common difference d = -7
[tex]a_n = a_1+d(n-1)\\\\a_1=32\\d=-7\\\\a_n=32+(-7)(n-1)\\\\a_n = 32-7n+7\\\\\underline{a_n=-7n+39}[/tex]
{(27x-6y=30 9x-2y=10)
Answer:
Y= 9x/2 -5
Step-by-step explanation:
is that what you needed help on?
4. An oil palm plantation uses fertiliser at a rate of 350 kg per hectare. State the rate of
fertiliser consumption in g per m². [1 hectare = 10 000 m²]
Answer:
35
Step-by-step explanation:
1kg= 1000g
1 hectare = 10 000 m²
1 kg/hct = 1000/10 000 g/m²
1 kg/hct = 1 / 10 g/m²
350 kg per hectare is equal to 350 / 10 = 35 g/m²
А (5x + 8)° 118° B What is the value of x?
Answer:
Not sure if its right
Step-by-step explanation:
A+B=118°
(5x+8)°=118°
13x°=118°
13x/13=118/13
x=9.07
hi can someone please help with this, i need the workout as well pls
Answer:
45
Step-by-step explanation:
98+37=135
180-135=45
During the day, Lola's dog is tied by rope to a tree in the center of her yard. The scale drawing below shows the area that the dog has to run, in inches. If the actual length of the rope is 11 2/3 feet, what is the scale used in the drawing?
Answer:
5 /448
Step-by-step explanation:
Radius in drawing = 1 9/16 in
The actual length of rope = 11 2/3 feets
Converting actual length to inches :
1 feet = 12 inches
11 2/3 feets = (11 2/3) * 12 = 140 inches
To obtain the scale used, we divide the Radius in the drawing by the actual length :
1 9/16 ÷ 140
25 /16 ÷ 140
25 /16 * 1 /140
= 25 / 2240
= 5 /448
Hence, scale is 5 /448 times the actual length of drawing
Hence :
The scale used is :
1 feet = 7.4666 inches
Answer:
5/488
Step-by-step explanation:
In the diagram, the ratio of AB to AE is 1/2. What is the ratio of the length of DB to the length of CE?
Answer:3/2
Step-by-step explanation:
The numerals in pascal´s triangle represent A. The exponents of a polynomial B. The coefficients of a polynomial C. The possible values of X D. The values of all the variables
Answer:
B. The coefficients of a polynomial
Step-by-step explanation:
The correct answer is - B. The coefficients of a polynomial
Reason -
Pascal's triangle is a triangular array constructed by summing adjacent elements in preceding rows. Pascal's triangle contains the values of the binomial coefficient.
What is the area of the shaded region in the given circle in terms of pi and in simplest form?
A) (120pi + 6 sqrt 3) m^2
B) (96pi + 36 sqrt 3) m^2
C) (120pi + 36 sqrt 3) m^2
D) (96pi + 6 sqrt 3) m^2
Answer:
Area of the shaded portion = (120π + 36√3)sq. m
Step-by-step explanation:
Area of the shaded region = Area of circle - Area of triangle
Given
radius of the circle = 12m
Area of the circle = πr²
Area of the circle = π(12)²
Area of the circle = 144π m²
Area of the sector = theta/360 * πr²
Area of the sector = 60/360 * 12²π
Area of the sector = 60/360 * 144π = 24π
Area of the triangle = 1/2 bh
Area of the triangle = 1/2 (12cos30)(12)
Area of the triangle = 36√3
Area of the shaded portion = (144π - 24π + 36√3)sq. m
Area of the shaded portion = (120π + 36√3)sq. m
HELP
Triangle ABC has vertices A(-6, 4),
B(6, 4) and C(-6, -1). What is the
perimeter of triangle ABC? What is the
area of triangle ABC?
Answer:
a
Step-by-step explanation:
(I’m needing help ASAP please )
i need help with this
Quadrilateral
Kite
Trapezoid
Isosceles Trapezoid
None of these
Rectangle
Square
Parallelogram
Rhombus
those r the options
How much paper will be needed to cover the cylinder shown?
8 in.
25 in.
OA) 401.92 in2
OB) 1,256 in2
OC) 1,456.96 in 2
OD 1,657.92 in2
Answer:
A
Step-by-step explanation:
If the car spends no time going 35 miles per hour how long would the trip take?
Answer:
can you specify how fast the car is going? if the car goes 35 miles per hour and the trip is 3 hours its 105 miles in total for your trip. I hope this helps.
The total time that the car will take to cover the trip would be {x}/35 hours.
What is distance?Distance in kinematics is defined as the product of speed and time.
Mathematically, we can write distance covered as -
distance = speed x time
Given to find the time duration of trip if the car is travelling at 35 miles per hour.
Assume that the total distance that has to be travelled by the car is {x}
miles. From the formula of distance covered, we can write that -
distance = speed x time
time = distance/speed
time = x/35
Therefore, the total time that the car will take to cover the trip would be {x}/35 hours.
To solve more questions on distance covered, visit the link-
https://brainly.com/question/20271103
#SPJ2
Answer dis for me ASAP
the answer is B 87.5
I NEED HELP ASAP GEOMETRY 10TH GRADE
Answer:
4
Step-by-step explanation:
1. AB:BC is 1:2
2. Add the 1 and the 2
(3)
3. Find the distance between -7 and 26
26-(-7) = 33
4. Divide the distance by 3
33/3 = 11
5. Find the distance from A---->B
-7 + 11 = 4