Answer:
The answer is below
Step-by-step explanation:
∠EFG and ∠GFH are a linear pair, m∠EFG = 3n+ 21, and m∠GFH = 2n + 34. What are m∠EFG and m∠GFH?
Solution:
Two angles are said to form a linear pair if they share a base. Linear pair angles are adjacent angles formed along a line as a result of the intersection of two lines. Linear pairs are always supplementary (that is they add up to 180°).
m∠EFG = 3n + 21, m∠GFH = 2n + 34. Both angles form linear pairs, hence:
m∠EFG + m∠GFH = 180°
3n + 21 + (2n + 34) = 180
3n + 2n + 21 + 34 = 180
5n + 55 = 180
5n = 125
n = 25
Therefore, m∠EFG = 3(25) + 21 = 96°, m∠GFH = 2(25) + 34 = 84°
which expression is equal to: 3c (1/3 d-9) -7(c-1) + d(c + 4)?
A. 2cd + 8c + 4
B. 2cd + 34c + 4d + 7
C. 2cd - 34c + 4d + 7
D. 2cd - 7c - 4
Please include steps!
Answer:
c
Step-by-step explanation:
If the number of students taking online courses is increasing at a rate of 7% per
year, how long would it take for the number of students taking online courses to
double?
a) about 28.57 years
b) about 2.8 years
c) about 14.3 years
d) about 10.24 years
Answer:
it will take about 14.3 years
The triangles shown below are similar. Find the length of QS.
Answer: The value of QS is 8 cm.
Step-by-step explanation:
First calculating the side QT.
As per given figure:
ΔPQT ≈ ΔRST
[tex]\frac{PQ}{RS}=\frac{QT}{ST}[/tex]
Given:
PQ = 9 cm
RS = 3 cm
ST = 4 cm
Now putting all the given values in the above expression, we get:
[tex]\frac{PQ}{RS}=\frac{QT}{ST}\\\\\frac{9cm}{3cm}=\frac{QT}{4cm}\\\\QT=12cm[/tex]
Now calculating the value of QS.
QT = QS + ST
12 cm = QS + 4 cm
QS = 12 cm - 4 cm
QS = 8 cm
Thus, the value of QS is 8 cm.
Shante is calculating the amount of time it takes a rocket to get to the moon. The moon is around 239,000 miles from Earth. How many hours would it take a rocket that can travel at 200 miles per minute to travel to the moon? Round to the nearest hour.
Answer:
20 hours
Step-by-step explanation:
Mathematically we know that;
time = distance/ speed
distance = 239,000 miles
Time = 200 miles per minute
time = 239,000/200 = 1195 minutes
Let us convert this to hours by dividing by 60 (since 60 minutes equal an hour
So we have 1195/60 = 19.91
This is approximately 20 hours
Answer:
D
Step-by-step explanation:
20 hours
Three golf balls are stored in a square prism container with a height of 6 inches and a base edge of 2
inches. The diameter of a golf ball is 1.68 inches.
Find the amount of space within the square prism not taken up by the golf balls.
6 in
2 in
2 in
O 21.5 in
O 7.4 in
O 16.6 in
O 31.4 in
Answer:
16.6 in
Step-by-step explanation:
Amount of space left = volume of prism - volume of 3 golf balls
volume of prism = base area x height
base area = area of a square = length² = 2² = 4
volume = 4 x 6 = 24
Volume of a sphere = 4/3 x pi x r^3
r = 1.68/2 = 0.84
4/3 x 3.14 x 0.84^3 = 2.48
volume of 3 balls = 2.48 x 3 =
A plumber charges $30.00 per call plus $25.00 per hour. If a certain repair cost $80.00, how long does it take?
Answer:
2 hours
Step-by-step explanation:
Y=25x+30
80=25x+30
50=25x
2=x
HELP for these 2 !!! it’s asking if it’s a function or not
can someone do my summer school work??
Answer:
no i can't do all of it, but i can help you do it
i just won't do it for you
Greatest common factor for 63u^5, 45u^4, 27u
Answer:
9 u ^2
Step-by-step explanation:
Answer:
9u
Step-by-step explanation:
Greatest common factor for 63[tex]u^{5}[/tex], 45[tex]u^{4}[/tex], and 27u.
We can all divide them by 9, and that is the furthest we can get.
For the variables, the furthest we can get is u.
In conclusion, the greatest common factor for 63[tex]u^{5}[/tex], 45[tex]u^{4}[/tex], and 27u is 9u.
A researcher posts an online advertisement offering $25 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of the following statements is true about the sample? (1 point)
a
It is not a valid sample because it is only a short study.
b
It is a valid sample because money was offered to participants.
c
It is a valid sample because the first 10 people were selected to participate.
d
It is not a valid sample because it is not a random sample of the population.
Answer:
A
Step-by-step explanation:
The study only consisted of 10 people. 10 people are not enough to come to a concrete conclusion for a project. Hope this helps!!
Answer:
A) It is not a valid sample because it is only a short study.
PLEASE HELP FAST, THANKS
Answer:
c=66 a=35 b=74
Step-by-step explanation:
According to the sum of the internal angles of the triangle is 180 °， The degree of each angle can be calculated
Which is equivalent to 5.253 × 10-²?
Step-by-step explanation:
equivalent to 5.253 × 10-² is 0.05523
hope it is helpful to you
Subtract one half of a number from 10
Answer:
10-1/2n
hope this helps
have a good day :)
Step-by-step explanation:
Find the area of
A triangle with a base of 8 units and a height of 13 units
Answer:
52 units squared
Step-by-step explanation:
[tex]13 \: units\: \times 8 \: units \div 2[/tex]
En la figura se muestran dos bloques de m1= 0,8 Kg y m2= 0,2 kg si el bloque de masa m2 es arrastrado por el bloque masa m1 calcular la aceleracion del sistema y la aceleracion de la cuerda
Answer:
The acceleration in the system and in the rope is same as 5.88 m/s2.
Step-by-step explanation:
The figure shows two blocks of m1 = 0.8 Kg and m2 = 0.2 kg if the block of mass m2 is dragged by the block of mass m1 calculate the acceleration of the system and the acceleration of the rope
Let the acceleration is a and the tension in the string is T.
Use Newton's second law
[tex]m_1 g - T = m_1 a ..... (1)\\\\T -m_2 g = m_2 a ......(2)\\\\Add both of them \\\\(m_1 - m_2) g = (m_1 + m_2) a \\\\(0.8-0.2)\times9.8 = (0.8+0.2)a\\\\a = 5.88 m/s^2[/tex]
What is the volume of this rectangular prism?
5 cm
3 cm
4 cm
A. 12 cm3
B. 94 cm3
C. 120 cm3
D. 60 cm3
Answer:
The volume of this rectangular prism is D. 60[tex]cm^{3}[/tex].
Step-by-step explanation:
In order to find the volume of a rectangular prism, we need to multiply the length by the width, and then multiply their product by the height of the prism. We can write what I said above as a formula...
V = l × w × h
(In the formula above "V" is the volume, "l" is the length, "w" is the width, and "h" is the height).
Now we just substitute the values into the formula and we get...
V = l × w × h
V = 4cm × 3cm × 5cm
V = 60[tex]cm^{3}[/tex]
Therefore, the volume of this rectangular prism is D. 60[tex]cm^{3}[/tex].
Work Out The Answers
Answer:
A1.) 87 + 63 =150
180 - 150 = 30
all the As is the same formula....
B1.) 180 - 123 = 57
57 + 82 = 139
180 - 131 = 41
Ayuda es urgente porfavor
What is the volume of a hemisphere with a radius of 4.3cm rounded to the nearest tenth of a cubic centimeter
Answer:
166.59 cm³ (approx.)
Step-by-step explanation:
What is the value of X enter your answer in the box
Answer:
x = 27
Step-by-step explanation:
The segment in the triangle bisects ∠ BAC and divides the opposite side into segments that are proportional to the other 2 sides , that is
[tex]\frac{x+8}{2x-5}[/tex] = [tex]\frac{10}{14}[/tex] ( cross- multiply )
10(2x - 5) = 14(x + 8) ← distribute parenthesis on both sides
20x - 50 = 14x + 112 ( subtract 14x from both sides )
6x - 50 = 112 ( add 50 to both sides )
6x = 162 ( divide both sides by 6 )
x = 27
The graph of the function f(x)= x²-3 is translated. The new function rule is f(x)= x²-1.
Which statement is true?
a. Every point on the graph is shifted down 1 unit.
b. Every point on the graph is shifted left 1 unit.
c. Every point on the graph is shifted right 2 units.
d. Every point on the graph is shifted up 2 units.
Answer:
Step-by-step explanation:
The function translation / transformation rules: f (x) + b shifts the function b units upward. f (x) – b shifts the function b units downward. f (x + b) shifts the function b units to the left.
so it should be d
transforma in metri:
a) 7 dam
b)350 dm
c) 57 000 mm
d) 0,5 km
e)750 cm
f) 5,7 dam
Answer:
a) 70 m
b) 35 m
c) 57 m
d) 500 m
e) 7.5 m
f) 57 m
Step-by-step explanation:
10 dm = 100 cm = 1 m.
1 dam = 10 m
1 km = 1000 m
100 cm = m
Correct ☑ ✔ Question :-
Transform in metre
a) 7 dam
b) 350 dm
c) 57000 mm
d) 0.5 km
e) 750 cm
f) 5.7 dam
Solution ✔a) 7 dam
1 dam = 10 m
so, 7 dam = 7 × 10 m = 70 m
b) 350 dm
10 dm = 1 m
so, 350 dm = 350/10 = 35 m
c) 57000 mm
1000 mm = 1 m
so, 57000mm = 57000/1000 = 57 m
d) 0.5 km
1 km = 1000 m
0.5 km = 1000 × 0.5 = 500 m
e) 750 cm
100 cm = 1 m
750 cm = 750/ 100 = 7.5 m
f) 5.7 dam
1 dam = 10 .
5.7 dam = 5.7 × 10 = 57 m
Identify the lines that are perpendicular: Line 1: y=4 Line 2: y=1/5x-5 Line 3:y=8 Line 4:y+5=-5(x+1)
Which of the following best describes using a slope of -5/10 on a graph?
O Move up 5 and right 10.
O Move left 5 and up 10.
O Move down 5 and right 10.
O Move down 5 and left 10.
Answer:
move down five and move right ten
Find the measure of the largest angle.
Answer:
4x-7
Step-by-step explanation:
Solve for x:
180 = 44 + 3x - 11 + 4x - 7
Combine like terms: 180 = 26 + 7x
Simplify: 154 = 7x
Simplify: 22 = x
Substitute: 3(22) - 11 = 55 and 4(22) - 7 = 81
Create inequality: 44 < 55 < 81
Hope this help!!!
Have a nice day!!!
No stealing points!!!!!
Answer:
8.74x10^5
Step-by-step explanation:
I think this is it..hope it helps
8.8*10^5 - 6000 = 874000 =8.74 x 10^5 in scientific notation.
pls help me ???????????????????
Answer:
Hi♀️
Step-by-step explanation:
ΔMAN≅ΔNED
ΔRED≅ΔRGD
ΔLAN≅ΔLEI
ΔRKI≅ΔIYC
Hope it helps you!
Please helpppppp 7th grade math
Answer:
A 1 cup
Step-by-step explanation:
Number of batches
24/6 = 4
Cups needed
1/4 * 4 = 1
Find the value of x (No explanation please :)
Answer:
48
Hope this helps!
Which relation is a function?