Analyze the diagram below and complete the instructions that follow.
S
T
U
vo
ro
R
If ARST is an equilateral triangle, find x and y.
Answers
Answer:
x = 120
y = 30
Step-by-step explanation:
Given that RST is equilateral, each of its interior angles will be 60 degrees
Looking at x, it lies on a starting line with one of the interior angles of RST
The sum of angles on a straight line is 180
Thus;
x + 60 = 180
x = 180-60
x= 120
Looking at triangle RSU, the markings indicates that we have an isosceles triangle
For an isosceles triangle, the base angles are equal in value
This means that SRU is also y
Mathematically, the sum of angles in a triangle is 180
Hence;
x + y + y = 180
x + 2y = 180
120 + 2y= 180
2y = 180-120
2y = 60
y = 60/2
y = 30
Related Questions
I'll give brainliest
your options are:
a. 60
b. 120
c. 180
d. 40
Answers
Answer:
the answer is A
Step-by-step explanation:
It is an acute angle but is larger than 40
What is the answer. Please do NOT send me a link. I am severely struggling with this question.
Answers
Answer:
360 ft²
³
Step-by-step explanation:
The volume of the rectangular pyramid is calculated as
V = [tex]\frac{1}{3}[/tex] Ah ( A is the area of the base and h the perpendicular height )
Here A = 10 × 6 = 60 ft² and h = 6 , then
V = [tex]\frac{1}{3}[/tex] × 60 × 6 = 20 × 6 = 120 ft³
The volume of the rectangular prism is calculated as
V = 10 × 6 × 4 = 60 × 4 = 240 ft³
Total volume = 120 + 240 = 360 ft³
can someone please help me with this question?? (no links!!!)
Answers
Answer:
960
Step-by-step explanation:
it says use 3 for pi, so you plug the values into given equation
V = 3·(4)²·20
r is 4 because it is half of 8.
Then multiply
3·16·20 = 48·20 = 960
Answer:
960 cm
Step-by-step explanation:
8/2 = 4 (radius)
3 (since we're using 3 for pi) * 4^2 * 20
3 * 16 * 20
48 * 20
= 960 cm
I hope this helps heh :)
HELP PLEASEEEE IT WOULD HELP ME OUT A LOT
Answers
Answer:
Step-by-step explanation:
Plz help is it the same?
Answers
Answer:
12.054 < 12.54
Step-by-step explanation:
12.054 is less than 12.54 because it has a zero in the tenths place, and 12.54 has a five in the tenths place! Always check the first spot after the decimal first. Best of luck<3
Answer:
12.054 < 12.54
Step-by-step explanation:
Please help me with the question
Answers
Answer:
the tree is 8ft long
Step-by-step explanation:
beans
What is the width of the terrace?
Answers
Answer:
12 feet or 4 feet.......
How do the number of faces, vertices, and edges of a cube compare to the number of faces, vertices, and edges of a tetrahedron? A cube has more faces than a tetrahedron. A cube has more vertices than a tetrahedron. A cube has more edges than a tetrahedron.
Answers
Answer:
it is 2, 4 and 6
Step-by-step explanation:
The theoretical probability of rolling a 6 with a single die is
Answers
Answer:
1/6
Since there are 6 faces and you're asking if 1 face is the probability, the probability is 1/6
Gavin is subdividing land into two plots, where one plot is in the shape of a square and the other plot is in the shape of a rectangle. The square plot of land has a side length of 6x3 feet, and the rectangular plot of land has a length of 3x5 feet and a width of 7x2 feet. Use the properties of exponents to determine the expression that represents the area for each plot of land. Then analyze which plot of land has a larger area if x is 3.
Answers
what’s the answer ??
Answers
Answer:
answer A shows a rotation
A because B is a mirror, c is a translation
You place two wooden support beams under a shelf, as shown. Find the value of x
Answers
Answer:
17x
Step-by-step explanation:
so first 2x is 2 x x = 2x
then +10 =12x then 5 + x = 5x so 5x + 12x = 17x
Kiara made a square baby blanket she decided to add one foot of material to one side then cut 4 inches of material off from the bed to sit outside of area of the rest salting blankets in 960 square inches find the area of the original blanket
Answers
Answer:
Step-by-step explanation:
960 which is the area u divide by the one foot which is 144 square units to get your answer,6.66666666667
please help will give brainlist if its correct
Answers
Answer:
I think it's B
Step-by-step explanation:
x = -2
2 + x > -8
2 + -2 > -8
0 > -8
PLEASE HELP SOMEBODY
Answers
Answer:
24
Step-by-step explanation:
[tex]79-7=72[/tex]
[tex]\frac{72}{3} =24[/tex]
What is the slope of a line perpendicular to the line whose equation is
3x + 3y = 45
Answers
Answer:
3(x+y)=45
x+y=15
y=-1x +15
so
slope(m) = -1
I NEEDDD HELP PLEASE!!! this is due today!
Answers
Answer:
What is it love ?
Step-by-step explanation:
The compound interest on $4,000 saved for 3 years at an interest rate of 15%.
Answers
A = $5,800.00
I = A - P = $1,800.00
hey!
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 15%/100 = 0.15 per year.
Solving our equation:
A = 4000(1 + (0.15 × 3)) = 5800
A = $5,800.00
The total amount accrued, principal plus interest, from simple interest on a principal of $4,000.00 at a rate of 15% per year for 3 years is $5,800.00.
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hope i helped in some way..have great day!
write two inequalities to
compare -12 and -6
write two inequalities to compare 8 and -10
Answers
Answer:
First one: -12 < -6
-6 > -12
Second one:
-8 > -10
-10 < -8
Step-by-step explanation:
Well you just compare them with greater then or less then signs.
Can someone help me out please
Answers
Answer:
area = (14 x 16) - (0.5 x 16 x 6) = 176 ft²
Step-by-step explanation:
Answer:
A = 176 ft²
Step-by-step explanation:
2 shapes: one rectangle and 1 triangle:
Rectangle:
A = bh
A = 16(14)
A = 224
Triangle:
A = 1/2bh
A = 1/2(16)(6)
A = 48
Combined:
224 - 48
176
A group of 12 students participated in a dance competition. Their scores are below:
Score (points)
1
2
3
4
5
Number of Students
1
2
4
3
2
Would a dot plot or a histogram best represent the data presented here? Why? (3 points)
Group of answer choices
Histogram, because a large number of scores are reported as ranges
Histogram, because a small number of scores are reported individually
Dot plot, because a large number of scores are reported as ranges
Answers
Answer:
put a picture please so i can understand better
Answer:
The answer is A
Step-by-step explanation:
i have done this and got 100 :0
Yasmin ordered 20 sandwiches for the STEM club's after school meeting. Some were turkey and some were ham sandwiches. Turkey sandwiches cost $5.50 and ham costs $4.50. The total bill was $97. How many turkey sandwiches were ordered?
Answers
7 TURKEY AND 13 HAM
I USED CALCULATOR BTW
Use the following graph to solve the equation 3n + 7 = 52
Answers
Answer:
[tex]3n + 7 = 52 \\ 3n = 52 - 7 \\ 3n = 45 \\ n = \frac{45}{3} \\ n = 15[/tex]
Graph is not inserted.
Answer: 15
1. Subtract 7 from both sides.
3n = 52 - 7
2. Simplify 52 - 7 to 45.
3n = 45
3. Divided both sides by 3.
N = 45/3
4. Simplify 45/3 to 15.
N = 15
Write the coordinates of the vertices after a dilation with a scale factor of 3, centered at the origin. 10 B 10 0 10 А С 10 A(1, 2) A'l B(1, 3) - BC
Answers
Answer:
A'=(4,-8)
B'=(4,12)
C'=(-12, -12)
Step-by-step explanation:
Ad 3 to the location you are heading remember first is x then y so (x, y)
X is always left and right
Y is always up or down
A globe company currently manufactures a globe that is 16 inches in diameter. If the dimensions of the globe were reduced by half, what would its volume be? Use 3.14 for π and round your answer to the nearest tenth.
682.7 in^3
2143.6 in^3
85.3 in^3
267.9 in^3
Answers
If dimensions of the globe that is 16 inches in diameter were reduced by half, then its volume would be [tex]$V= 267.9 \text{ in}^{3}$[/tex]
What is volume ?The volume of an object is a measure of the amount of space occupied by that object.
Here given that originally diameter was 16 inches but then dimensions of the globe was reduced by half
The new diameter is equal to
[tex]$$D=16 / 2=8 \mathrm{in}$$[/tex]
Hence radius is equal to
[tex]$$r=8 / 2=4 \mathrm{in}$$[/tex]
The volume of the reduced globe is
[tex]$V=\frac{4}{3}(\pi)(r)^{3}$[/tex]
[tex]$V=\frac{4}{3}(3.14)(4)^{3}$\\[/tex]
[tex]$V= 267.9 \text{ in}^{3}$[/tex]
If dimensions of the globe that is 16 inches in diameter were reduced by half, then its volume would be [tex]$V= 267.9 \text{ in}^{3}$[/tex]
To learn more about volume visit : https://brainly.com/question/1972490
Answer:
267.9 in3
Step-by-step explanation:
I took the test and got it right!
A yogurt company claims that it prints a free yogurt coupon under a randomly selected 20% of its lids. A loyal customer purchases 85 yogurt cups, and records whether each was a winner. After consuming all 85 cups, he is disappointed to see that only 12 (14.1%) of his yogurt cups contained coupon codes. He performs a 99% confidence interval for the proportion of yogurt cups containing coupon codes, obtaining (0.044, 0.238). What conclusion can the customer draw about the yogurt company’s claim?
Answers
Answer:
The customer can conclude that the company's claim is correct
Step-by-step explanation:
The percentage of lids that has a free yogurt coupon = 20%
The number of cups a loyal customer purchases = 85 yogurt cups
The number of cups that contained a coupon = 12 (14.1%)
The confidence interval performed = 99% confidence interval for the proportion of yogurt cups containing coupon codes
The interval obtained = (0.044, 0.238)
Therefore, the range of proportion within which the true proportion exists is 0.044 < [tex]\hat p[/tex] < 0.238
The range of percentage within which the true percentage exist is therefore;
0.044 × 100 = 4.4% < [tex]\hat p[/tex] × 100 < 0.238 × 100 = 23.8%
Given that the possible true percentage of lids that has a coupon is between 4.4% and 23.8% at 99% confidence level, the customer can conclude that only 12 of his yogurt cup contained coupon by chance and that the company's claim is correct.
Answer:
A, the company’s claim may be justified because 0.2 is in the confidence interval.
Step-by-step explanation:
Which expression is equivalent to (-3)x+(3)(-12)?
Answers
Answer:
Step-by-step explanation:
(-3)x + (3)(-12)
= -3x -36
or -3(x + 12)
Answer:
Step-by-step explanation:
(-3)x + 3(-12) = (-3) (x + 12)
(-3) is both the two terms. So we can take (-3) as common
Can someone help out? No BS please.
Answers
Answer:
Angle EHG
Step-by-step explanation:
If you want explanation tell me in comments
Answer:
the correct answer is angle EHB
Help please the question is in the photo
Answers
pls help asap
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Indicate in standard form the equation of the line passing through the given points.
E(-2, 2), F(5, 1)
Answers
Answer:
The equation of the line that passes through the given points is ;
7y = -x + 12
Step-by-step explanation:
Here, we want to get the equation of the line that passes through the given points
The general equation form
is;
y = mx + b
where m is the slope and b is the y-intercept
Now, let us substitute the x and y coordinate values of each of the points;
for (-2,2); we have
2 = -2m + b
b = 2m + 2 •••••(i)
for F;
1 = 5m + b
b = 1-5m ••••••(ii)
Equate both b
1-5m = 2m + 2
1-2 = 2m + 5m
7m = -1
m = -1/7
Recall;
b = 2m + 2
b = 2(-1/7) + 2
b = -2/7 + 2
b = (-2 + 14)/7 = 12/7
The equation of the line is thus;
y = -1/7x + 12/7
Multiply through by 7
7y = -x + 12
