Answers
Answer:
(a) = 60
(b) = 70
Step-by-step explanation:
(a) Sum of all the angles of a triangle is 180
This is an equilateral Triangle
which means all the sides are equal since all the sides are equal that means all the angles are equal
[tex]x + x + x = 180 \\ 3x = 180 \\ x = \frac{180}{3} \\ x = 60[/tex]
(b) this is an isosceles triangle with two equal sides that means the two opposite angles are equal
[tex]40 + x + x = 180 \\ 40 + 2x = 180 \\ 2x = 180 - 40 \\ 2x = 140 \\ x = 70[/tex]
Related Questions
A sphere has a radius of 7.9 cm. Calculate the spheres volume. Use 3.14 and don't round.
Answers
Answer:
[tex]\displaystyle V = 2064.19 \ cm^3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]
r is radiusStep-by-step explanation:
Step 1: Define
Identify variables
r = 7.9 cm
Step 2: Find Volume
Substitute in variables [Volume of a Sphere Formula]: [tex]\displaystyle V = \frac{4}{3}(3.14)(7.9 \ cm)^3[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{4}{3}(3.14)(493.039 \ cm^3)[/tex]Multiply: [tex]\displaystyle V = 2064.19 \ cm^3[/tex]1 5. 13. The greatest four digit number that is disible by 16.is (a) 8457 (b) 7842 (c) 9984 (d) 5824
Answers
9984/16 = 624
5824/16 = 364, but 9984 > 5824
Which mathematical sentence most Accurately expresses the information in the problem below?
See Picture....
Answers
Answer:
Don't quote me on this but it's probably C. 12c ≥ 88
Step-by-step explanation:
This is because he packages 88 eggs into cartons of 12.
88/12 is 7.33333... so it makes sense to have a greater or equal amount of eggs. If you multiply 7.333333... by 12, each additional 3 gets you closer to 88 so again, makes sense to have more.
5th grade math. correct answer will be marked brainliest
Answers
Answer:
I put 6/9 even though i know its wrong
Step-by-step explanation:
Help me out plssss thank u
Answers
x = 44°
Step-by-step explanation:
Since AB is a diameter,
arcAC + arcCB = 180
92° + arcCB = 180
or
arcCB = 88°
ArcCB is the intercepted arc and by definition, the inscribed angle x is half the measure of the intercepted arc. Therefore,
x = (1/2)arcCB
= 44°
I need the steps if possible:)
Answers
Answer:
3/6=1/2
Step-by-step explanation:
There are 3 ways you can roll an even number on a 6-sided die: 2, 4, and 6
Therefore, the probability of rolling an even number is 3/6 or 1/2.
Please help !!!!!!!!!!!!!!!!!
Answers
write an equation of the line with slope -2 and passing through (3,1) in slope-intercept form
Answers
Answer:
y=-2x+7
Step-by-step explanation:
Hi there!
The form of slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
We are given the slope (-2) and a point (3,1)
We can immediately substitute -2 as the slope in the equation
y=-2x+b
Now we need to find b
Because the line will pass through the point (3,1), we can use it to solve for b
Substitute 3 as x and 1 as y
1=-2(3)+b
multiply
1=-6+b
add 6 to both sides to isolate b
7=b
Substitute 7 as b into the equation
The line is y=-2x+7
Hope this helps!
Find a function whose graph is a parabola with vertex (1, −2) and that passes through the point (5, 14)
Answers
Answer:
[tex]f(x)=(x-1)^2-2[/tex]
Step-by-step explanation:
Equation of a parabola:
[tex]y=a(x-h)^2+k[/tex]
The vertex is given as [tex](h,k)[/tex] -> [tex](1, -2)[/tex]
Plug in both the given point and vertex to find the value of [tex]a[/tex]:
[tex]y=a(x-h)^2+k[/tex]
[tex]y=a(x-1)^2-2[/tex]
[tex]14=a(5-1)^2-2[/tex]
[tex]14=a(4)^2-2[/tex]
[tex]14=16a-2[/tex]
[tex]16=16a[/tex]
[tex]1=a[/tex]
[tex]a=1[/tex]
Therefore, the final function is [tex]f(x)=(x-1)^2-2[/tex]
See attached graph below for a visual of the function.
HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
can consider the polygon shown. determine the value of y
Answers
Answer:
64
Step-by-step explanation:
You can figure it out by adding all the interior angles.
(180-75=105º)
(180-67=113º)
105+113+90=308º
The sum of interior angles is (n-2) × 180 so the sum in his case is
(5-2) ×180=540º
540º-308º=232º
However that is the sum of the two angles but since the angles are the same size, we can divide by 2
232º÷2=116º
We must remember that this is an interior angle so we now can calculate the value of y
180º-116º=64º
What is the solution to the system of equations below?
y=-3x+9 and y-ſx-12
(21, 2)
(21, -10)
(-21, 16)
(-21, -26)
Answers
I tried every combination. there seems to be something wrong with the informations you gave.
the second equation contains errors, and none of these 4 points can be solutions to the first equation alone
Help please I asp !!!
Answers
Answer:
Step-by-step explanation:
1
The coordinates of parallelogram UVWZ are U(a, 0), W(c − a, b), and Z(c, 0). Find the coordinates of V without using any new variables.
(a, b)
(b, 0)
(c, b)
(0, b)
Answers
Answer:
C
Step-by-step explanation:
Your welcome! :) Good luck!
What is the product of the polynomials below?
(4x2 - 2x - 4)(2x + 4)
A. 8x? +12x-16-16
B. Bx+12x? - 16X-8
C. 8x +12x2 - 8x-16
O D. Bx° +12x2 - 8x-8
Answers
During a sale, a store offered a 15% discount on a couch that originally sold
for $800. After the sale, the discounted price of the couch was marked up by
15%. What was the price of the couch after the markup? Round to the nearest
cent.
Answers
Answer:
t think the answer is 1040.
PLZZZZZZZZZZZZZZZ HELP ME WITH THIS!!!
Elena and Diego each wrote an equation to represent the following diagrams. Decide which equation you agree with. And, you must provide your explanations in order to receive the points. You need to solve the equation you agree with. Finally, you need to describe, in words, the process you would use to find the missing values. You can assume that angles that look like right angles are indeed right angles.
1. Elean: w+148=180 , Diego: x+90=148.
We know that angle BKC=148 degrees.
I agree with : ( Elena / Diego /Both of them) .
Because:
Describe, in words, the process you would use to find the missing values:
Answers
Answer:
I agree with Elena. See explanation below.
Step-by-step explanation:
A right angle is equal to 90 degrees.
A straight line is equal to 180 degrees.
Elena: w + 148 = 180
Elena's equation is correct because 148 degrees is represented by variable k. When adding variable k and w together, they form a straight line which is equiavlent to 180 degrees. By using this equation, Elena can solve for w after isolating the variable:
w + 148 = 180
w + 148 - 148 = 180 - 148
w = 32 degrees
Diego: x + 90 = 148
Diego is incorrect. He added 90 degrees because of the right angle, but he failed to realize that x is within 90 degrees, meaning he would either have to subtract x from 90 degrees or add both x and w to get to 90 degrees. He cannot solve for x or w by using this equation.
To solve for x, add both w and x to get 90 degrees. Since Elena showed us w equals 32 degrees, we can set up an equation:
w + x = 90
32 + x = 90
32 - 32 + x = 90 - 32
x = 58 degrees
Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes. If 5 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetings or classes.
Answers
Answer:
Es el 60%
Step-by-step explanation:
Based on data from the U.S. Census Bureau, a Pew Research study showed that the percentage of employed individuals ages 25-29 who are college educated is at an all-time high. The study showed that the percentage of employed individuals aged 25-29 with at least a bachelor's degree in 2016 was 40%. In the year 2000, this percentage was 32%, in 1985 it was 25%, and in 1964 it was only 16%.+
What is the population being studied in each of the four years?
a. college educated individuals
b. college educated individuals aged 25-29
c. individuals aged 25-29
d. employed individuals aged 25-29
e. employed individuals
Answers
Answer:
d. employed individuals aged 25-29
Step-by-step explanation:
"Population" in a research study is the comprehensive group that the experimenter or the researcher is interested in.
It is given that US Census Bureau, showed that percentage of the employed individual who are of age group 25 years to 29 years are college educated and is at all time high.
The research study focuses on the specific age group of individuals those who graduated form college or at least have a bachelor degree.
Thus the population of the research study those who studied in each of the four years are the employed individuals aged from 25-29.
Given that f(x) = x2 – 3x – 28 and g(x) = x - 7, find
(f - g)(x) and express the result in standard form.
Answers
Answer:
[tex](f-g)(x)=x^2-4x-21[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=x^2-3x-28\text{ and } g(x)=x-7[/tex]
And we want to find:
[tex](f-g)(x)[/tex]
This is equivalent to:
[tex]=f(x)-g(x)[/tex]
Substitute:
[tex]=(x^2-3x-28)-(x-7)[/tex]
Distribute:
[tex]=x^2-3x-28-x+7[/tex]
Rearrange:
[tex]=(x^2)+(-3x-x)+(-28+7)[/tex]
Hence:
[tex](f-g)(x)=x^2-4x-21[/tex]
Paul signs up for a new cell phone plan. He is offered a discount for the first five months. After this period, his rate increases by $8.50 per month. His total cost at the end of the year is $245.50. Paul wrote the following equation to represent his plan. 5x + 7(x + 8.50) = 245.50
Answers
Answer:
The first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.
Step-by-step explanation:
Since Paul signs up for a new cell phone plan, and he is offered a discount for the first five months, and after this period, his rate increases by $ 8.50 per month, and his total cost at the end of the year is $ 245.50, and Paul wrote the following equation to represent his plan: 5x + 7 (x + 8.50) = 245.50; To determine the value of X, the following calculation must be performed:
5X + 7 x (X + 8.50) = 245.50
5X + 7X + 59.50 = 245.50
12X + 59.50 = 245.50
12X = 245.50 - 59.50
12X = 186
X = 186/12
X = 15.50
Therefore, the first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.
Sherri chose 1 marble at a time from a bag of 50 marbles, recorded its color, and returned it to the bag. She repeated this experiment 20 times.
how many blue marbles are in the bag?
Select one:
6
30
15
20
Answers
Answer:
20 is it's right answer I think ok
What type of triangle has a circumcenter on the exterior of the triangle?
Answers
Answer:
acute triangle
if i m wrong please dont mind and
correct me
I’ll mark brainliest
Answers
Answer:
A.) y = -7/4x - 7
Step-by-step explanation:
The line's slope is -7/4 and its y-intercept is located at the point (0, -7).
The net of a solid figure is shown below:
Which calculation will give the total surface area of the solid figure? (1 point)
1) 5.6.6 square inches
2) 6.5.5 square inches
3) 6.5.5.5 square inches
4) 5.6.6.6 square inches
Answers
===========================================================
Explanation:
Each square has a side length of 5 inches, so each square has area 5*5 = 25 square inches. We have 6 such squares to give a total surface area of 6*25 = 150 square inches.
Effectively, this is the same as using the formula below
S = 6x^2
S = 6*5^2
S = 6*5*5
S = 150
x = 5 refers to the side length and S is the surface area. It might help to cut the figure from the paper, and fold it up and you should find that a 3D box will form. There are 6 faces with area of 5*5 each, hence the 6*5*5
Find the domain and range of the function y = √x-3 + 6
Answers
Answer:
Domain: [tex][3,\infty)[/tex]
Range: [tex][6,\infty)[/tex]
Step-by-step explanation:
I assume you mean [tex]y=\sqrt{x-3} +6[/tex]?
Take note of how x cannot be less than 3 because it would result in a negative number under the radical, which isn't real. However, x CAN be 3 because [tex]\sqrt{3-3}+6=\sqrt{0}+6=0+6=6[/tex] which is real.
Therefore, the domain of the function is [tex][3,\infty)[/tex]
As for the range of the function, we saw previously that the minimum of the domain resulted in the minimum of the range, which was 6.
Therefore, the range of the function is [tex][6,\infty)[/tex]
See attached graph below for a visual.
These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
10 15 20
30
55
HI
Town B
5
20
30
40
55
H
0 5
10
15
20
45
50
55 60
25 30 35 40
Degrees (F)
Which statement is the most appropriate comparison of the centers?
O A. The median for town A, 30°, is less than the median for town B,
40°
B. The mean for town A, 20°, is less than the mean for town B, 30°
C. The median for town A, 20°, is less than the median for town B,
30°
O D. The median temperature for both towns is 30°.
Answers
Answer:
The answer is:
C. The median for town A, 20°, is less than the median for town B, 30°.
Step-by-step explanation:
Median is the middle (center) value.
Option (C) the median for town A, 20°, is less than the median for town B, 30°.
What is box plot?Box plot is a type of chart often used in explanatory data analysis. A graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.
For the given situation,
The diagram shows the box plot of the daily low temperatures for a sample of days in two different towns.
From the box plot, the median of town A is 20° and the median of town B is 30°.
From the data,
⇒ [tex]20 < 30[/tex]
Hence we can conclude that option (C) the median for town A, 20°, is less than the median for town B, 30°.
Learn more about box plot here
https://brainly.com/question/12591498
#SPJ2
HELP ME PLEASEEEEEEEEEEEEEEEEE
Answers
Answer:
x
Step-by-step explanation:
f([tex]f^{-1}[/tex](x))
Lets work the brackets first!
[tex]f^{-1}[/tex](x)
To solve we are going to find the inverse of the function.
[tex]f^{-1}[/tex](x)
f ⇔ y
∴ y = x
Interchange x and y
x = y
Solve for y
y = x
∴ [tex]f^{-1}[/tex](x) = x
Now let's solve the rest of the equation.
f(x) = x
∴ f([tex]f^{-1}[/tex](x)) = x
evaluate the following trigonometric expression
Answers
Answer:
-60
hope it helps
What is the measure of an inscribed angle that subtends the same arc as a central angle whose measure is 32 degrees?
Answers
Find the slope of the line that passes through these two points. (0, -2): (5. 3)
Answers
Answer:
[tex]\displaystyle m = 1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (0, -2)
Point (5, 3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{3--2}{5-0}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{5}{5}[/tex][Fraction] Divide: [tex]\displaystyle m = 1[/tex]