Answer:
52
Step-by-step explanation:
This is an isosceles triangle, so the base angles will be the same. Then you know that all of your angles will add up to 180.
Your equation can be:
2(2x+2) + (3x + 1) = 180
x = 25
S = 2(25) + 2
S = 52 degrees
Answer:
52
Step-by-step explanation:
Because SR = TR, ∡S =∡T= 2x+2
For any triangle sum of all angles = 180°.
2x+2 +2x+2+3x+1= 180
7x + 5 =180
x = 25°
∡S =2x+2=2*25+2 = 52°
Find the equation (in terms of x) of the line through the points (-3,1) and (5,3)
Answer:
(y-3)=(1/4)(x-5) or (y-1)=(1/4)(x+3)
Step-by-step explanation:
point slope formula: (y-y1)=m(x-x1)
slope formula: (y2-y1)/(x2-x1)
slope = m
Which of the following equation have exactly one solution?
A) 58x + 52 = -78x - 78
B) 58x + 52 = 78x - 78
C) -78x + 52 = -52x - 78
D) 52x + 52 = 52x -78
Answer:
A, B, C all have one solution.
Step-by-step explanation:
1) Each equation in this question has one variable (x). This means that only one solution will be there.
2) Solve for x, you can cross out option D. When you subtract 52x from both sides, you're left with 52 = -78
Which is not true
3) Option A, if solved x = -65/68
4) Option B, x = 13/2
5) Option C, x = 5
All except D, have one solution, I don't know if it's a multiple choice answer but this is how I can help.
Answer:
The answer is A, B, and C.
Step-by-step explanation:
I got this answer on Khan Academy.
Hope this helps! :)
Circle O has a circumference of 36 cm.
What is the length of the radius, m?
06 cm
18 cm
36 cm
72 cm
Answer:
5.73 The closest answer is probably 6
Step-by-step explanation:
Answer: The radius is 5.73 CM so the answer is A, 6.
Step-by-step explanation: The radius is equal to one half the diameter
Pi times the diameter equals the circumfrence. so we do
36/3.14/2
5. The length of a rectangle is 5 inches greater than the width.
Question
Answer
a. Write an expression for the width of the rectangle.
b. Write an expression for the length of the rectangle.
multiply
Answer:
see below
Step-by-step explanation:
Let w = width
L = length = w+5
The area is l*w
A = (w+5)*w
A = w^2 +5w
How would you slice a right rectangular prism to create a pentagon?
A.
Slice the prism such that the plane cuts through all of the six faces.
B.
Slice the prism such that the plane cuts through three intersecting edges.
C.
Slice the prism such that the plane is perpendicular to the base.
D.
Slice the prism such that the plane cuts through five of the six faces.
Answer:
D.
Step-by-step explanation:
In the picture attached it can be seen that if the plane cuts a right rectangular prism through five of the six faces, a pentagon is created. The picture is just an example, any five faces are possible to create a pentagon
prove that (tan²y) (cos²y) + 1/sec²y = 1
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
tan x = [tex]\frac{sinx}{cosx}[/tex] , sec x = [tex]\frac{1}{cosx}[/tex] , sin²x + cos²x = 1
Consider the left side
tan²y × cos²y + [tex]\frac{1}{sec^2y}[/tex]
= [tex]\frac{sin^2y}{cos^2y}[/tex] × cos²y + [tex]\frac{1}{\frac{1}{cos^2y} }[/tex] ← cancel cos²y in the product
= sin²y + cos²y
= 1
= right side ⇒ proven
Step-by-step explanation:
[tex] (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1\\
LHS
= (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} \\\\
\frac{\sin^2y}{\cos^2y}\times \cos^2 y + \cos^2 y \\\\
= \sin^2y + \cos^2 y \\\\
= 1\\\\
= RHS\\\\
\purple {\boxed {\bold {\therefore (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1}}} \\[/tex]
Hence Proved
What does reflection mean?
Moving back and forth quickly
Speed of vibration
Bouncing light of a shining surface
Loudness or quietness
Step-by-step explanation:
Reflection mean bouncing light of a shining surface.
Please help me with this problem.
Answer:
1
Step-by-step explanation:
There are 10 boys and 8 girls in the chess club at West Middle School. The principal randomly selects one student from the chess club to represent the school in a competition. What is the probability that the selected student is a boy?
Answer:
5/9 of a chance
Step-by-step explanation:
or a 55.55- chance
Malik scores 24 goals in 8 soccer games. At that rate, how many goals will he sore in 15 games?
Answer:
45 goals
Step-by-step explanation:
You have the fraction 24/8
After you simplify it you get 3/1 (that’s the percentage of goals/games)
Supposing goals = x,
x/15 = 3/1
x= 45 goals
PLEASE HELP ME I REALLY NEED IT
Answer:
x = 0
Step-by-step explanation:
when you plug in x as 0, you would have
0 + 3y = 12
0 = 8 - 2y
3y = 12
3y divided by 3 is y
12 divided by 3 is 4
y = 4
plug y in for the second equation
0 = 8 - 2(4)
0 = 8 - 8
this is why x = 0
hope that made sense, sorry if it didn't, i don't know how to explain it online
Mario writes the equation (r + y)2 = z2 + 4(1/2ry) to begin a proof of the Pythagorean theorem. Use the drop-down menus to explain why this is a true equation.
Answer:
x+y
Z2
1/2xy
Step-by-step explanation:
(x+y)^2 finds the area of the outer square by squaring its side length.
z^2 + 4 (1/2xy) finds the area of the outer square by adding the area of the inner square and the four triangles.
Convert: 15,940 feet = how many miles and feet
Answer:
3.02 miles
Step-by-step explanation:
Solve the system using elimination and describe your steps.
3x + y = 9
5x + 4y = 22
-------------------
Answer:
x = 2, y=3
Step-by-step explanation:
3x + y = 9
5x + 4y = 22
Multiply the first equation by -4
-4(3x + y) = 9*-4
-12x -4y = -36
Add this to the second equation to eliminate y
-12x -4y = -36
5x + 4y = 22
---------------------------
-7x = -14
Divide each side by -7
-7x/-7 = -14/-7
x = 2
Now find y
3x+y = 9
3(2) +y = 9
6+y = 9
Subtract 6 from each side
-6+6 +y = 9-6
y = 3
Answer:
x = 2, y = 3
Step-by-step explanation:
3x + y = 9 (1)
5x + 4y = 22 (2)
Multiply equation (1) by -4 and add to equation (2)
-12x - 4y = -36
5x + 4y = 22
-7x = -14
x = 2
Using any equation, solve for y
5(2) + 4y = 22
4y = 12
y = 3
Ms. Augustine is playing a game with her class. When a student tells her a number, she uses a rule to determine the new number. Ms. Augustine always uses the same rule. The table below shows some of the results.
What would the number be when the student says 8?
A. 58
B. 56
C. 54
D. 50
Answer:
When a student tells her a number, she uses a rule to determ
Step-by-step explanation:
Get the answers ... When a student tells her a number, she uses a rule to determine the new number. Ms. Augustine always uses the same rule. The table below shows some of the results. What would the number be when the student says 8? A. 58. B. 56. C. 54
Answer:
58
Step-by-step explanation:
110-
у
70-
y = [ ? ]°
Answer:
y = 90°
Step-by-step explanation:
y + x = 110° because the sum of two interior angles is equal to an interior angle
x + 70° = y ➡ y - x = 70°
y + x = 110°
y - x = 70° add two equations
2y = 180° (x eliminated -x)
y = 90°
Two more than three times a number is six less than the product of two
and a number.
Answer:
x = -8
Step-by-step explanation:
3x + 2 = 2x - 6
Answer:x = -8
Step-by-step explanation:
What is the value of x, if the volume of the cone is 12 pi m^3?
4 m
5 m
6 m
10 m
Answer:
4 m
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
12 pi = 1/3 pi (3)^2 x
12 pi = 1/3 pi 9 x
12 pi = 3pi x
Divide each side by 3 pi
12 pi / 3pi = 3pix/ 3pi
4 =x
y=6x+15 what is y, when x=5
Answer:
Answer:45
6 x 5+15=45
Step-by-step explanation:
Hope this helped!
Answer:
Look at explanation
Step-by-step explanation:
First, plug in x=5 into the equation y=6x+15 for x.
[tex]y=6(5)+15[/tex]
Solve.
[tex]y=6(5)+15\\=30+15\\=45\\y=45[/tex]
What are Percentages that are Equal to 100%?
Answer:
just 100% because it is only that alone. You could have 1.0 as a decimal or 100/100 as a fraction, or 5/5, 18/18 and so on
Step-by-step explanation:
Answer:
100% is equal to 100%.
Step-by-step explanation:
Think about it in fractions, for a precentage to be 100% it need to be the same number of the top and bottom
20/20 = 100%
can i get your help please
Which answer choice shows the decimals in order from greatest to least?
A. 1.234, 1.237, 1.2, 1.48, 2.01
B. 1.2, 1.234, 1.237, 1.48, 2.01
C. 2.01, 1.48, 1.237, 1.234, 1.2
D. 1.2, 1.48, 2.01, 1.234, 1.237
Answer:
B. 1.2, 1.234, 1.237, 1.48, 2.01
Step-by-step explanation:
Plz help i will mark u brianiest
answers choose all that apply
A: Quadrent 1
B: Quadrent 2
C: Quadrent 3
D: Quadrent 4
E; x axis
F:y axis
Answer:
F, y-axis
Step-by-step explanation:
If point E's y-coordinate is 0, it is located somewhere on the y-axis (meaning F is correct). If point E's x-coordinate is 0, it cannot be on the x-axis (meaning E is incorrect). When a point is on the y-axis, it does not fall into any quadrant (meaning A, B, C, and D are incorrect).
What value cannot be determined from the box and whisker plot?
A. median
B. mean
C. range
D. interquartile range
Answer: The answer is B. Mean :)
find the missing letter which is n.then find the perimeter. the width is 3ft and area is 33sq ft
Answer:
Perimeter = 28 ft
n = 11
Step-by-step explanation:
Area = length x width
33 = n * 3
n = 11 = length
then the perimeter is 2Length + 2Width
= 2*11 + 2*3 =
22 + 6 = 28
Answer:
Step-by-step explanation:
Area = 33 sq ft
length * width = 33
n * 3 = 33
Divide both sides by 3
n = 33/3
n = 11 ft
Perimeter = 2*(length + width)
= 2*(11 + 3)
= 2* 14
= 28 ft
Please help me on number one I will mark you as the best answer
Answer:
-4n - 40 > -120
<=> -4n > -80
<=> 4n < 80
<=> n < 20
=> Option B is correct.
q/(-7) + 1 > 5
<=> q/(-7) > 4
<=> q < 4 x (-7)
<=> q < -28
=> Option C is correct.
Hope this helps!
:)
A map is drawn with a scale of 1 inch equal to 5 actual miles.
If the map distance between two cities is 8 inches, what is the real distance between these cities in miles?
A. 40 miles
B. 16 miles
C. 4 miles
D. 100 miles
E. 80 miles
Answer:
A. 40 Miles
Step-by-step explanation:
To find the answer I'd use a proportion. To do this you would set it up like this: [tex]\frac{1 inches}{5 miles} = \frac{8 inches}{x miles}[/tex]
Then you could either cross multiply or do it the way I'm going to explain. 1 time 8 equals 8, and when you multiply the top number you have to multiply the bottom number by the same number. So 5 time 8 equals 40. The real distance between the cities is 40 miles.
Is the given sequence arithmetic? If so, identify the common
difference,
10, 20, 30, 40
Answer:
yes, 10
Step-by-step explanation:
Take the second term and subtract the first term
20-10 = 10
Take the third term and subtract the second term
30-20 = 10
Take the fourth term and subtract the third term
40-30 =10
Each time the difference is 10, so it is an arithmetic sequence
This is an arithmetic sequence and the common difference is 10
Find the GCF for each pair of monomials. 1. 14n2, 35n4 2. 21n3, 18n2 3. 7n2, 9
Answer:
[tex](1)7n^2\\(2)3n^2\\(3) 1[/tex]
Step-by-step explanation:
(1) [tex]14n^2, 35n^4[/tex]
[tex]14n^2=2 X 7 X n^2\\35n^4=5 X 7 Xn^2Xn^2\\$Therefore, the GCF of 14n^2$ and 35n^4$ is 7Xn^2=7n^2[/tex]
(2)[tex]21n^3, 18n^2[/tex]
[tex]21n^3=3 X 7 X n^2 X n\\18n^2 =3 X 6 X n^2\\$Therefore, the GCF of 21n^3$ and 18n^2$ is 3Xn^2=3n^2[/tex]
(3) [tex]7n^2, 9[/tex]
The two terms are co-prime. Therefore their GCF is 1.
Given f(x)=(2x-3)(3x+7), what is the y-intercept
Answer:
(0,-21)
Step-by-step explanation:
The x value of a y intercept is always 0
So we can plug in 0 to the equation to solve for the y intercept
(2*0-3)(3*0+7)
-3*7= -21
y intercept: (0,-21)
Answer:
-21
Step-by-step explanation:
f(x)=(2x-3)(3x+7)
The y intercept is when x=0
f(0) = (0-3) (0+7)
-3*7
-21
The y intercept is -21
please help idk the right answer
Answer:
C
Step-by-step explanation:
if you add the value if f(x) to t