Step-by-step explanation:
∵ MP is a straight line.
∴ ∠MNQ + ∠PNQ = 180°
[tex](3y + 8)° + (3y + 22)° = 180° \\ 3y + 8 + 3y + 22 = 180 \\ 6y + 30 = 180 \\ 6y = 150 \\ y = 25[/tex]
∵ MP is a straight line.
∴ ∠MNR + ∠PNR = 180°
[tex](2x + 5)° + (3x - 55)° = 180° \\ 2x + 5 + 3x - 55 = 180 \\ 5x - 50 = 180 \\ 5x = 230 \\ x = 46[/tex]
Solve for z.
57 = –10z +7
Answer:
z = -5
Step-by-step explanation:
Hi there!
We are given the equation 57 = -10z + 7, and we want to solve for z
In order to solve an equation for a variable, we want to isolate that variable on one side; in other words, we want just z on one side of the equation.
So that means that we'll need to get rid of everything else that's also on the right side. That starts with subtracting 7 from both sides:
57 = -10z + 7
-7 -7
_____________
50 = -10z
Now on the right side, there aren't any other extra terms, but remember: we want just z (also written as 1z, with the coefficient of 1), not z written with a coefficient of -10
If you divide a number by itself, the result is 1. For example. [tex]\frac{3}{3}[/tex]= 1. So in order to get a coefficient of 1, let's divide both sides by -10
[tex]\frac{50}{-10} = \frac{-10z}{-10}[/tex]
Divide, and cancel:
The zeros cancel out, leaving the equation as:
[tex]\frac{5}{-1} = \frac{-1z}{-1}[/tex]
Dividing a number by -1 is pretty much the same as multiplying a number by -1; it simply changes the sign of the number
So 5/-1 will become -5, while -1z/-1 will become 1z, or z
Hence:
-5 = z, or written the other way: z = -5
We found z.
Hope this helps!
From a club with 12 members, how many ways could you choose a committee of 5?
Step-by-step explanation:
that is 12 over 5
12! / (5! × (12-5)!) = 12×11×10×9×8/5×4×3×2 =
= 11×9×8 = 792
Given the definitions of f(x) and g(x) below, find the value of g(f(-3)). f(x) = 5x + 11 g(x) = x2 + 4x – 11
Answer:
g(f(-3)) = -11
Step-by-step explanation:
First, we evaluate f(-3) and then plug that value into g(x) for x:
f(x) = 5x + 11
f(-3) = 5(-3) + 11 = -15 + 11 = -4
Therefore:
g(f(-3)) = (-4)^2 + 4(-4) - 11 = 16 - 16 - 11 = 0 - 11 = -11
Answer: -11
Step-by-step explanation:
Find the value of g(f(-3)) given the two equations:
f(x) = 5x + 11
g(x) = x² + 4x - 11
Plug -3 into equation f(x).
f(-3) = 5(-3) + 11
Solve for f(x).
-4 = f(-3)
Plug -4 into the equation of g(x).
g(-4) = (-4)² + 4(-4) - 11
Solve for g(x).
g(-4) = (16) + (-16) - 11
g(-4) = -11
The value of g(f(-3)) is -11.
Analyze the table below and complete the instructions that follow.
Blue
Brown
Green
Total
Male
10
B
1
28
Female
D
15
C
26
Total
18
A
4
E
Solve for the variables in the table.
Answer:
C
Step-by-step explanation:
Order the following numbers from least to greatest: -5.6, -1.25, -7.8,9
Central/Inscribed angles w work pls i beg last one
=======================================================
Explanation:
Let point A be the center of the circle.
The inscribed angle CED doubles to the central angle CAD due to the inscribed angle theorem.
angle CAD = 2*(angle CED)
angle CAD = 2*(7x+6)
angle CAD = 14x+12
Angle CAD is the same as minor arc CD. These are two different ways to describe the same thing more or less. This is because the central angle subtends or cuts off the minor arc CD.
-----------
The three arc pieces CE, ED and CD all combine to form a 360 degree circle.
(arc CE) + (arc ED) + (arc CD) = 360
(18x+1) + (13x+1) + (14x+12) = 360
(18x+13x+14x) + (1+1+12) = 360
45x+14 = 360
45x = 360-14
45x = 346
x = 346/45
This approximates to roughly x = 7.6889, but I have a feeling your teacher will want the fraction form.
What is the nth term of each linear pattern?
a) 5.4, 8.4, 11.4, 14.4, 17.4...
b) 85, 80, 75, 70...
c) 38 1/2, 43 1/2, 48 1/2, 53 1/2, 58 1/2
What is the answer to
2 3/8 - 1 5/8 =
Answer:
6/8
Step-by-step explanation:
you have to convert each fraction into an improper. because the denominators are already the same, you dont have to worry. once you have it as an impropper, you can now subtract it. 19/8 - 13/8 = 6/8
reduce if you can
Solve ^3/x^2-8=2 pls help
Answer:
its the first one
Step-by-step explanation:
Study the visual fraction below.
Answer:
The answer would be D
Step-by-step explanation:
5 1/3 ÷ 2/3 = 8
16/3 ÷ 2/3 = 8
16 ÷2 = 8
A pennant flag that is 2 inches high with a base of 1.5 inches has an area of 1.5 square inches. The
area of a triangle varies jointly with the base and height. Find the area of a flag whose base
measures 2 inches and height is 2.5 inches.
Answer:
2.5 sq. inches
Step-by-step explanation:
Explanation is given in the pic attached.
Area of triangle= 1/2* base* height
Hope this helps!
The area of the flag when the base is 2 inches and the height is 2.5 inches is 2.5 square inches
From the question, we understand that the area (A) of the flag varies jointly with the base (B) and the height (H)
This variation is represented as:
[tex]\mathbf{A\ \alpha\ B \times H}[/tex]
So, we have:
[tex]\mathbf{A\ \alpha\ BH}[/tex]
Express as an equation
[tex]\mathbf{A\ =k BH}[/tex]
When the area is 1.5 square inches, the base is 1.5 inches and the height is 2 inches, we have:
[tex]\mathbf{A\ =k BH}[/tex]
This gives
[tex]\mathbf{1.5\ =k \times 1.5 \times 2}[/tex]
[tex]\mathbf{1.5\ =k \times 3}[/tex]
Divide both sides by 3
[tex]\mathbf{\frac 12 =k }[/tex]
Rewrite as:
[tex]\mathbf{k = \frac 12}[/tex]
When the base is 2 inches and the height is 2.5 inches, we have:
[tex]\mathbf{A\ =k BH}[/tex]
This gives
[tex]\mathbf{A = \frac 12 \times 2 \times 2.5}[/tex]
[tex]\mathbf{A = 2.5}[/tex]
Hence, the area of the flag is 2.5 square inches
Read more about variations at:
https://brainly.com/question/14251450
What is Two-thirds divided by one-sixth?
An area model with 4 shaded parts and 2 unshaded parts. The shaded parts are labeled two-thirds.
2
3
4
6
Answer: 4
Step-by-step explanation:
So, what I do to divide fractions is to turn them into reciprocals, which means changing it into a multiplication problem and turning the second fraction upside down. So, [tex]\frac{2}{3}[/tex] x [tex]\frac{6}{1}[/tex]. We multiply across, so 2 x 6 is 12, and 3 x 1 is 3, which gets us to [tex]\frac{12}{3}[/tex]. Since this is an improper fraction, we can simplify by dividing 12 by 3 to get 4. Hope this helps! :)
Answer:
4 (C) hope this helps!!
BYEEEEEEEEE!
Q2). Let A={1,2,3,4} B={a,b,c} which of the following are relation from B to A?
(i) {(c,a) (c,b) (c,1)}
(ii) {(c,4) (b,3) (c.2)}
Step-by-step explanation:
Given sets are :
A = {1,2,3,4} and B = {a,b,c}
(i)
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=59(0.59)^x
what is the % increase
Answer:
Step-by-step explanation:
y=59(0.59)ˣ
As the number under the exponent is less than 1, this is a decay function.
Value of y will be decreased by (1.00 - 0.59)100 = 41% for each unit increase in x.
A rectangle has a length of 72 cm and a width of 56 cm. A second rectangle has the same area as this one, but its width is 21 cm. What is the length of the second rectangle?
Answer:
192
Step-by-step explanation:
Well if the first rectangle is 72 and 56, then we can find the area of that by multiplying length times width which would be 4032, so that would be the area of the second one. then we divide 4032 by 21, which is 192.
P.S, This is my first question answered, so if im wrong please let me know, thank you!
Answer: 192
Step-by-step explanation:
As given, the other rectangle has the same area as this one, but its width is 21 cm. Hence, the length is 192 cm.
HELPPP LAST ATTEMPT!!
-4/5 divided by 1/3
Please asap
the straight up answer is -12/5
consider the graph of a linear equation. see below , which statement is true?
Answer:
B
Step-by-step explanation:
If you go to -4, 0 the line intersects that point
PLS HELP ASAP
x^2 - 4x-1=0
Solve using formula
Answer:
Your answer would be x=2±√5
Step-by-step explanation:
which expression represents the product of 3 and 1 1/4 n 1.8
•ω• Hewo fren!
☆☆●◉✿ Answer:✿◉●☆☆
3•1 1/4•1.8= 6 3/4
☆☆●◉✿Step-by-step explanation:✿◉●☆☆
Let’s start of with 3•1 1/4~
3 times 1 and 1/4 is 3 3/4
Now let’s multiply 3 3/4 • 1.8
1.8 is also 1 8/10, simplified: 1 4/5.
3 3/4 • 1 4/5 = 6 3/4
THERE IS YOUR ANSWER! >o<
HOPE I HELPED! ∧∧
→⇒brainliest please? ∑(OΔO )♥♥︎
Balamma
Model with Math How many things are
used to make a guitars like the ones in the
picture Draw a bar diagram to show how
you found your answer
Answer:
Where is the questions picture so I know what I am about to answer
Step-by-step explanation:
I need a pic.
What the answer is please
Answer:its the first one
Step-by-step explanation:
becuase it tells more explanation if you look at the answer or what im saying is problem to make it more simpler.
which histogram helps best predict how much time until the next customer comes into the Clothes Shoppe.
Which table represents y as a function of x?
X
1
2
0
0
1
2
3
3
X
-1
-1
o
2
1
0
2
3
X
V
1
10
2
3
0
1
2
3
x
V
-1
-1
0
-1
Answer:
reduce
Step-by-step explanation:
become it is un solvef
BRAINLIEST TO CORRECT PLEASE HURRY
Answer:
-32
Step-by-step explanation:
Graph the image of this figure after a dilation with a scale factor of 12centered at the origin.
Use the polygon tool to graph the dilated figure.
Answer:
1.(-4,2)
2.(2,4)
3.(-2,8)
Answer:
(1,2) (0,4) (-4,2)
Step-by-step explanation:
took the quiz and got it right.
Write 5 • 5 • 5 • 5 • 5 • 5 • 5 using an exponent.
Answer:
5^6
Step-by-step explanation:
5 was multiplied repeatedly 6 times, so it's 5 to the power of 6
Answer:
5 to the power of 6 or 5^6
Step-by-step explanation:
grahm's birthday Is on 26th May which day of the week Is his birthday?
Answer:
Wednesday, 2021,Thursday, 2022
How to determine the domain and range of a continuous graph
Answer:
Step-by-step explanation:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Can someone help? anyone?
Answer:
The right answer is letter C.
Step-by-step explanation:
I hope it's help
have a nice day and night