Given:
The figures of triangles and their mid segments.
To find:
The values of n.
Solution:
Mid-segment theorem: According to this theorem, mid segment of the triangle is a line segment that bisect the two sides of the triangle and parallel to third side, The measure of mid-segment is half of the parallel side.
9.
It is given that:
Length of mid-segment = 54
Length of parallel side = 3n
Using mid-segment theorem, we get
[tex]54=\dfrac{1}{2}(3n)[/tex]
[tex]2\times 54=3n[/tex]
[tex]108=3n[/tex]
Divide both side by 3.
[tex]\dfrac{108}{3}=n[/tex]
[tex]36=n[/tex]
Therefore, the value of n is equal to 36.
10.
It is given that:
Length of mid-segment = 4n+5
Length of parallel side = 74
Using mid-segment theorem, we get
[tex]4n+5=\dfrac{1}{2}(74)[/tex]
[tex]4n+5=37[/tex]
[tex]4n=37-5[/tex]
[tex]4n=32[/tex]
Divide both side by 4.
[tex]n=\dfrac{32}{4}[/tex]
[tex]n=8[/tex]
Therefore, the value of n is equal to 8.
which similarity prove this picture with explanation
Answer:
SAS congruency
Step-by-step explanation:
we are given
EF=DFFA=FD[tex]\angle EFA=\angle DFB[/tex]hence,
[tex] \displaystyle \rm \Delta EFA \cong\Delta DFB \text{ by \: SAS}[/tex]
reference:
the Proof is resource of our textbook1) Find the Volume
The volume is
cubic inches.
1
5 in.
7 in.
10 in.
Answer: 350 in.3
Step-by-step explanation:
The formula for the volume of a rectangular prism is LWH (Length times width times height), as with all prisms.
Simply plug in the numbers into the formula to get your answer.
V=5*10*7
V=50*7
V=350
Then write the units.
V=350 cubic inches.
-1 2/5 + 5 fraction form??
What is the solution to this equation?
3x-3 = 15
A. x= 36
B. x = 54
C. x= 6
D. x= 4
What is the interquartile range of the data set 115, 98, 118, 102, 96, 90, 125, 94, 85, 100, 104
Answer:
21
Step-by-step explanation:
1. Re-order numbers from low to high
85, 90, 94, 96, 98, 100, 102, 104, 115, 118, 125
2. Find Q1 and Q3: they are the middle number of top and bottom half of the data
Q1 is 94, Q3 is 115
3. Find IQR
IQR = Q3 - Q1 = 115 - 94 = 21
Find the value of R and S
Answer:
R ≈ 17.7
S ≈ 19.0
Step-by-step explanation:
The angles of the triangle are 90, 43, and 47. Given these we can apply the law of sines.
26/sin(90) = s/sin(43), giving you 17.73195, rounding to 17.7.
26/sin90 = r/sin(47), giving you 19.01519, rounding to 19.0.
can someone help me im literally so confused
Answer: 65536a^4 b^2
Step-by-step explanation:
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 75, 15, 3 find the 6th term
Answer
0.024
Step-by-step explanation:
1-75
2-15
3-3
4-0.6
5-0.12
6-0.024
Substitute the given values into the given formula and solve for the unknown variable. If necessary, round to one decimal place,
S = 4LW + 2WH; S=120, L=8, W=3. (Surface area of a special rectangular box)
Answer:
4
Step-by-step explanation:
120 = 4 *8 * 3 + 2 * 3 H
120 = 96 + 6 H
6H = 24
H = 4
Solve the equation for all real solutions. 9q^2 - 11q + 2 = -3q^2
Answer:
two solutions at 2/3 and 1/4
Step-by-step explanation:
12q² - 11q + 2 = 0
(3q - 2)(4q - 1) = 0
3q = 2
q = 2/3
4q = 1
q = 1/4
A toy train travels 3 4 of a lap around a track in of a minute 6 What is the unit rate, in laps per minute, that the train travels around the track?
A 1/8
B 2/9
C 11/12
D 9/2
Quotient of z by 6 is multiplied by y.
Step-by-step explanation:
=z/6×y
=zy/6
which is the correct answer
Find the value of x
14.10.2 Test (CST): Linear Equations Question 18 of 30 What is the y-coordinate of the plotted point? 16 Answer here < PREVIOUS
Answer:
I can't see the plotted point to answer the question
The standard form of a coordinate in the 2D plane is (x, y), we may express the y-coordinate of the given location as 4.
What is a Cartesian coordinate system?A cartesian coordinate system uses a set of three perpendicular lines from the x, y, and z axes, which are three mutually perpendicular axes, to describe the coordinate points.
We can represent a point in the cartesian coordinate system as (x, y, z).
There are three different types of cartesian coordinate systems: one-, two-, and three-dimensional.
The cylindrical and spherical coordinate systems are two other types of coordinate systems in addition to the cartesian system.
Find the value of the plotted point's y-coordinate using the information provided.
It is at latitude and longitude (2, 4). The "y" coordinate of the provided location can be written as "4". This is because the generic form of the coordinate in the two-dimensional plane is known to be represented by (x, y).
Since the standard form of a coordinate in the 2D plane is (x, y), we may express the y-coordinate of the given location as 4.
To solve more questions on coordinate points, visit the link-
brainly.com/question/26757498
#SPJ7
PLEASE HELP ME, I know these are easy but I forgot to do this assignment and now i don't remember how to do any of it.
Answer:
Your answers will be down below;
1. 6
2. 7
3. 9.6
4. 13.2
5. 1.5
6. 2.1
7. 11
8. 3
9. 12
10. 6
11. 6
12. 9
Step-by-step explanation:
I had this assignment before and I will NOT add a step-by-step explanation because I'm currently lazy at this time -.-
But I am 100% sure that these are the answer, like I said I HAD this assignment before. Therefore the answers above are your answers to your assignment. =.=
Mark me brainliest if you can, if not then it's alright. Have a good day! :)
Important!!!!
I will mark the person who answers the question with an actual answer brainliest
The answer choices are in the picture with the question
Due soon
Answer:
Ccccccccccccccccccccc
Choose the equation that satisfies the data in the table
Answer:
i think it's C but i'm not sure
Step-by-step explanation:
Can anyone help with this?
Answer:
x=8 and QNR= 63°
Step-by-step explanation:
90+8x-1+27=180
116+8x=180
8x=64
x=8
Answer:
8, m<QNR=63 degrees
Step-by-step explanation:
So, lets go over what we know:
The angle that makes up (8x-1) and 27 degrees is a right angle.
A right angle is 90 degrees.
So, to solve for angle m<QNR and for x, we must subtract and solve using 27 degrees, and (8x-1).
Lets put this into equation form:
(8x-1)+27=90
Lets subtract 27 from both sides to get the (8x-1) alone:
(8x-1)=63.
So lets stop here real quick.
We need to find angle M<QNR. This is (8x-1)
So looking at what we have solved so far, angle M<QNR must be 63 degrees.
Now, lets solve further to find out what x is:
(8x-1)=63
Lets add x to both sides to get 8x alone:
(8x)=64
We dont need the parethese, for they do not have a function, so:
8x=64
Finally, lets divide 8 from both sides so we can make 8x into just x:
x=8
So x is equal to 8.
Overall:
x = 8
Angle m<QNR = 63
Hope this helps! :)
PLEASE HELP!
15 points i need help plz look at picture
Answer:
14
Step-by-step explanation:
hope this helps not sure if right though hard to see picture is blurry when I zoom in
1.
If b is bigger than a, what can you tell me about angle A?
Answer:
a is smaller than b
Step-by-step explanation:
Answer:
a smaller then b that's all I know
19 Wanda listed these facts about parallelograms, - Opposite angles are equal to each other. • Adjacent sides may have different lengths. • There are exactly two sets of parallel sides, - Both pairs of opposite sides have the same leven which fact must also be true? in a rhombus, opposite angles are equal to each other. B in a rhombus, adjacent sides may have different lervius In a trapezoid, there are exactly two sets of parallel sides, D in a trapezoid, both pairs of opposite sides have the same length.
Answer:
it is d becaes it
Step-by-step explanation:
sdtgdffjkd
......yo yall can have 15 points fa dis one........There must be more than 4 campers in a group during free play and the difference between the number of boys, x, and the number of girls, y, can be no more than 5. Which graph represents the system of inequalities for this scenario?
Answer:
The answer is B
The answer is B
Step-by-step explanation:
The slope of the solid line is positive
The y-intercept of the solid line is (0,-5)
The x-intercept of the solid line is (5,0)
The slope of the dashed line is negative
The y-intercept of the solid line is (0,4)
The x-intercept of the solid line is (4,0)
Compute the following probabilities. Enter decimal value. Round to 2 decimal places.
P(boy and he likes swimming) =
Answer:
0.26
Step-by-step explanation:
8/50. 8
———— =. ——— = 0.26
30/50. 30
Francis earned the following scores on his math quizzes: 86, 84, 90. Jillian earned the following scores on her math quizzes: 84, 90, 86. Who earned a greater total score? Which addition property can you use to find the answer?
It's due in 5 minutes please help
Jillian and Francis both earned the same total score. I used commutative property of addition to find the answer.
Francis: 86, 84, 90 ---> 84,86,90
Jillian: 84, 90,86---> 84,86,90
I hope this helps, have a great day!
The amount of money a store earns during each hour one day can be modeled by the function y = -8x^2 + 64x – 60, where y is in dollars and x is the time in hours from when the store opens. During which hour will the store earn $68?
Answer:
go to photo math thank me later
Step-by-step explanation:
Answer: After “4 hours” of work will the store earn $68.
Step-by-step explanation: To find the answer you plug in 4 into all values of x in the equation it looks like this y = -8(4)^2 + 64(4) - 60. Once you multiply, the numbers it turns into is y = -128 + 256 - 60. Then. Once you do all the addition and subtraction you get y = $68.
Have a nice day!
Hello, someone please help me with this question.
Also, if you can, please check out my other recent question.. I need help on that one too.
Answer:
Ron is because the 7 and the 2 are the inside box while 10 and 12 are the outside, hope this helps :)
Step-by-step explanation:
find the value of x. ignore writing
Answer:
100
Step-by-step explanation:
cosB = 36/60 = 3/5
cosB = 60/x = 3/5 -> x = 100
the surface area of earth is about 196.9 million square miles. The land area is about 57.5 million square miles, and the rest is water. What is the probability that a meteorite that reaches the surface of earth will hit land
Answer: 29.2%
Step-by-step explanation:
The total surface area is 196.9 million square miles and out of this, land occupies 57.5 million square miles.
The probability that a meteorite would hit land is the percentage of and out of the entire planet area:
= Land area/ Total earth surface area
= 57.5/ 196.9
= 29.2%
Melodie wants to plants flowers in a triangular flower garden in the front of her house her garden has a base of 12 feet and a height of 14 feet what is the area of her garden
Answer:
84ft^2
Step-by-step explanation:
Given data
Base= 12feet
Height= 14feet
The expression for the area of a triangle is
Area= 1/2bh
Area= 1/2*12*14
Area= 6*14
Area= 84 ft^2
Hence the area of the triangular garden is 84ft^2
Annika's class raised $800 by selling $5 and $10 movie gift cards. The class
sold a total of 115 gift cards. How many of each type of card did the class
sell?
Answer:
70 $5 movie gift cards and 45 $10 movie gift cards
Step-by-step explanation: