The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units
Answer:
The area of a triangle is 1/2BH, or 1/2 times the base times the height.
If the area = 6, and B and H must both be whole numbers.
The area of the triangle ΔSTU is given by A = 12 units²
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the area of the triangle ΔSTU be represented as A
Now , the area of triangle ΔQTU is 6 square units, and the area of triangle ΔRSU is 6 square units
So , the base of the triangle ΔSTU = 6 units
The height of the triangle ΔSTU = 4 units
So , area of the triangle = ( 1/2 ) x Length x Base
On simplifying , we get
The area of triangle ΔSTU = ( 1/2 ) x 4 x 6
The area of triangle ΔSTU = 12 units²
Therefore , the value of A is 12 units²
Hence , the area of the triangle is 12 units²
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The complete question is attached below :
The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units?
What is the value of x?
X
Answer:
30°
Step-by-step explanation:
What value of x will make line m parallel to line n?
The value of x that will make line m parallel to line n is?
One marble is picked at random and NOT replaced from a box that has 3 red marbles, 4 green marbles 2 blue marbles and one yellow marble. Find the probability of selecting a red and a red marble.
Answer:
3/9
Step-by-step explanation:
because there are total 9 marbles. 3 red, 4 green and 2 blue.so the probability is 3/9.
what percent of 98 is 74
Answer:
75.51%
Step-by-step explanation:
hopefully this helps
x/100 = 74/98
98x = 7,400
x = 7,400/98
× = 75.51 % of 98
help with these 2 questions pls
Answer:
6 .
4X + 2 + X = 8X +2 -3X
5X+2=5X+2
0=0
The two sides of the equation are always equal ,so 3 or any other number can be a solution for it .
7.
6X+6-3X+6= X+4
3X+12= X+4
2X= -8
X= -4
Hope it was helpful .
Step-by-step explanation:
I hope that everything I have written helps you.if I'm wrong write the answers in your paper doesn't match with mine please tell me I'll try it again.
Can you solve it on paper
Answer:
28/15
Step-by-step explanation:
find the slope of each line
helppp!!
Answer:
-3/4
Step-by-step explanation:
The slope is -3/4
The line goes down three and four left.
Which of the following is the concept illustrated with the misentered data? A. The procedure for constructing the confidence interval is robust. The larger the sample size, the more resistant the mean. Therefore, the confidence interval is less robust. B. The procedure for constructing the confidence interval is robust. The larger the sample size, the more resistant the mean. Therefore, the confidence interval is more robust. C. The procedure for constructing the confidence interval is not robust. The smaller the sample size, the less resistant the mean. Therefore, the confidence interval is more robust.
Answer: B. The procedure for constructing the confidence interval is robust. The larger the sample size, the more resistant the mean. Therefore, the confidence interval is more robust.
Step-by-step explanation:
Large sized data samples usually have more stability than data with small samples, they yield a mean value which edges closer to the value of the population data. This means that large size data samples will have a mean which is more resistant to change than samples with a lower sample size. The confidence interval gives robustness while constructing a model by giving te leverage for a range of values based in a certain level of confidence upon which a statistical vale can be tested for validity.
GIVING BRAINLIEST!!!!!!!!
1/2 x(6X4)+3+2
SHOW UR WORK PLS
Answer: 1/2 times 6x equals 3x and then you do 1/2 times 4 and that equals 2 then multiply the 3 and 4 in the parenthesis and that is 12 then add 12 to the 3 and 2 and your answer is 17.
Step-by-step explanation:
Can someone help me with this triangle??
Find missing side lengths
Answer:
Y=75 x=75
Step-by-step explanation:
This is a scalene triangle and the total of the degrees will always be 180. So 180-30=150
since there are two sides split 150 in 2. 150 divided by 2 = 75
HELP ME PLEASE!
The graph below shows a line graphed through the points
Answer:
The answer is C.) y = 2x + 5
Using the pattern of blocks below, how many blocks does Figure 26 have?
Mhanifa please help i will mark brainliest :)
Answer:
If figures are similar, corresponding sides have same ratio.
Similar polygonsSide IJ x is corresponding with QR, and side HK with PS:
x/6.5 = 25.5/8.5x = 6.5*3x = 19.5 Similar trianglesRatio of corresponding sides:
x/7 = 18/6x = 7*3x = 21HELP ASAPPPPP PLZZZZ Question in pic!!!!!
Step-by-step explanation:
Given
5y + 68 = 3y + 96 (vertically opposite angles) and
3x + 18 = 5x + 2 (vertically opposite angles)
Now solve for x.
[tex]3x + 18 = 5x + 2 \\ 3x + 18 - 5x = 2 \\ - 2x + 18 = 2 \\ - 2x = 2 - 18 \\ - 2x = - 16 \\ x = - 16 \div - 2 \\ = 8[/tex]
Now Solve for y.
[tex]5y + 68 = 3y + 96 \\ 5y + 68 - 3y = 96 \\ 2y + 68 = 96 \\ 2y = 96 - 68 \\ 2y = 28 \\ y = 14[/tex]
What is the prime factorization of 110?
Answer:
The prime factors of 110 are 2, 5, and 11.
Step-by-step explanation:
First, 110 = 2 * 55
Next, 55 = 5 * 11
Thus, the prime factors of 110 are {2, 5, 11}
Answer:
2 x 5 x 11 = 110.
Step-by-step explanation:
The prime factors of 110 are 2, 5, and 11.
-Factors of 110: 1, 2, 5, 10, 11, 22, 55 and 110
-Prime Factorization of 110: 110 = 2 × 5 × 11
1 × 110 = 110
2 × 55 = 110
5 × 22 = 110
10 × 11 = 110
11 × 10 = 110
22 × 5 = 110
55 × 2 = 110
110 × 1 = 110
help? i need this done by the end of the day
Evaluate:
Σ18/1 (5n– 4) = [? ]
Basically, you are going to evaluate 5n - 4 from n = 1 to n = 18. Don't forget to add as you evaluate.
I will get you started.
Let n = 1 and then n = 2.
5(1) - 4 + 5(2) - 4 + the rest
5 - 4 + 10 - 4 + the rest
1 + 6 + the rest
7 + the rest
Just continue the pattern. You will then let n be 3, 4, 5, etc all the way to 18.
PLS HELP ME GRADES ARE DUE TODAY! Fill in the chart below based on the graphs. Remember: Slope is vertical change divided by horizontal change.
Answer:
VC , HC , S
A) 6 , 3 , 2
b) 8 , 2 , 4
c) 40 , 20 , 2
Answer:
Graph Vertical Horizontal Slope
A 6 3 2
B 2 8 .25
C 40 20 2
Step-by-step explanation:
Graph A
vertical...
9-3=6
horizontal...
4-1=3
slope...
6/3=2
Graph B
vertical...
3.5-1.5=2
horizontal...
10-2=8
slope...
2/8=.25
Graph C
vertical...
75-35=40
horizontal...
30-10=20
slope...
40/20=2
What is the circumference of a circle with a radius of 5.4 ft? Use 3.14 for π and round your answer to the nearest hundredth
Answer:
91.61
Step-by-step explanation:
A=πr2=π·5.42≈91.60884
hope this helps give me crown
8.47÷6 in 2 decimal place
Answer:
1.41
Step-by-step explanation:
8.47÷6 = 1.4116
A store gives reward points for every dollar
spent. The number of reward points varies
directly with the total amount spent.
Sofia spends $300 and receives 15 reward
points.
Juan spends $900. He receives reward points
at the same rate as Sofia.
How many more reward points will Juan
receive than Sofia?
Please help me I give u 14 points please only correct answers ,!!!
I need help on 19 and 20. Please help me. Please don’t put a link. Please help me.
Answer:
19:
4 < third side < 14
20:
3 < third side < 13
Step-by-step explanation:
hint: go to http://www.17 28.org/trianinq.htm
(fix the space between 17 and 28)
you're welcome xx
What are the measurements of FGT plssss?
Answer:
The Foster–Greer–Thorbecke indices are a family of poverty metrics. The most commonly used index from the family, FGT2, puts higher weight on the poverty of the poorest individuals, making it a combined measure of poverty and income inequality and a popular choice within development economics.
Step-by-step explanation:
0000000
What is the value of a missing angle
Answer:
63°
Step-by-step explanation:
First, by looking at the angle we see that the overall angle is a right angle. This means that the total will add up to 90°.
Knowing this we can then subtract
90° - 27° = 63°
Answer:
63
Step-by-step explanation:
The measure of a right angle is always 90 so
90-27=63
????????????????????????????????????????????????
Answer:
Second one to the top right i think
Step-by-step explanation:
Help please it’s timed
Answer: a
Step-by-step explanation:
NEED HELP QUICK!!!!! A set of data includes the point (17,3.8) and has the regression equation y=-25x+436. What is the residual for this point
Given:
The regression equation is:
[tex]y=-25x+436[/tex]
The given point is (17,3.8).
To find:
The residual for the given point.
Solution:
We have,
[tex]y=-25x+436[/tex]
Substituting [tex]x=17[/tex], we get
[tex]y=-25(17)+436[/tex]
[tex]y=-425+436[/tex]
[tex]y=11[/tex]
The predicted value at [tex]x=17[/tex] is 11.
The given point is (17,3.8). It means the observed value at [tex]x=17[/tex] is 3.8.
Formula for residual:
Residual = Observed value - Predicted value
Residual = [tex]3.8-11[/tex]
Residual = [tex]-7.2[/tex]
Therefore, the residual for the given point is -7.2.
describe and correct the error in the factoring polynomial. x^2+4x-96=(x-12)(x+8)
Answer:
100.03
Step-by-step explanation:
i think it is correct
1. Write the absolute value inequality in the form x−b≤c or x−b ≥c that has the solution set −1≤x≤3.
2.Write the absolute value inequality in the form x−b≤c or x−b≥c that has the solution set x≤−9 or x≥−5.
WILL BE MARKED BRAINLEIST!
Answer:
1. We want to write an equation in the form:
Ix - bI ≤ c
Such that the solutions are the range −1 ≤ x ≤ 3
First, the extremes of the range are: - 1 and 3
Half of the difference between these values is:
m = (3 - (-1))/2 = (3 + 1)/2 = 4/2 = 2
Now let's go to the lower extreme, and add this value, we get:
-1 + m = -1 + 2 = 1
(if we go to the upper value and we subtract m, we get the same)
This is the mid-value of the solution interval, and we will define it as M
We now can write the absolute value inequality as:
I x - MI ≤ m
In our case, we get:
Ix - 1I ≤ 2
2.
Now we want to have the solution set given by:
x ≤ -9
x ≥ -5
In this case, we will have an equation of the form:
Ix - MI ≥ m
(before we used the symbol ≤, which means that the solutions are inside the interval, now we use the symbol ≥, which means that the solutions are outside of the interval (-9, -5) in this case).
So let's do the same than in the above case:
m = (-5) - (-9) = (-5 + 9)/2 = 4/2 = 2
M = -9 + 2 = -7
Replacing these in the absolute value inequality we got:
Ix - (-7)I ≥ 2
Ix + 7I ≥ 2