Applying the triangle sum theorem, m∠N = 41°
What is the Triangle Sum Theorem?Triangle sum theorem states that the sum of the three interior angles of any triangle equals 180°.
Given the following interior angles of ΔMNO:
m∠M = (6x+1)°
m∠N = (3x-10)°
m∠O = (x+19)°
Find the value of x:
m∠M + m∠N + m∠O = 180°
Substitute6x+1 + 3x-10 + x+19 = 180
Add like terms10x + 10 = 180
10x = 180 - 10
10x = 170
Divide both sides by 10x = 17
m∠N = (3x-10)°
Plug in the value of xm∠N = 3(17) - 10
m∠N = 41°
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Solve for x. Round to the nearest tenth, if necessary.
Answer:
9.81925> rounding up, final answer is x= 9.8
A 2ft-by-2ft square is divided into smaller squares and portions are shaded. What is the area of the shaded portion?
Answer:
1.5 ft^2
Step-by-step explanation:
Since the length is divided into 4 parts,
Length of a small square = 2/4
= 0.5 ft
Hence,
Area of 1 small square = (0.5)(0.5)
= 0.25 ft^2
Area of shaded portion = Area of 6 small squares
= 6(0.25)
= 1.5 ft^2
Step-by-step explanation:
The area of the shaded cubes is 3 square feet.
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given side²
We have,
Since the 2 ft-by-2 ft square is divided into 16 smaller squares, each smaller square has an area of:
(2/4)ft = 0.5ft.
Now,
Out of the 16 smaller squares, 6 smaller cubes are shaded.
Since each smaller cube occupies the space of one of the smaller squares, the total area of the shaded cubes is 6 times the area of one of the smaller squares.
The area of the shaded cubes is:
6 x 0.5ft² = 3ft²
Thus,
The area of the shaded cubes is 3 square feet.
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For what values of k
If y = cos(kt), then its first two derivatives are
y' = -k sin(kt)
y'' = -k² cos(kt)
Substituting y and y'' into 49y'' = -16y gives
-49k² cos(kt) = -15 cos(kt)
⇒ 49k² = 15
⇒ k² = 15/49
⇒ k = ±√15/7
Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles by SSS or SAS, write "not enough information". Explain your answer.
Write a congruence statement and give a reason why the triangles are congruent. Select the correct choice below and, if necessary, write the vertices of the second triangle in the correct order.
Answer:
option B is correct answer. ∆SVZ~=∆YVX, SSS
Step-by-step explanation:
reasons,
VY=VS, S
YX=SZ, S
VX=VZ, S
therefore, ∆SVZ~=∆YVX.
hope this helps you.
The two triangles are congruent by side angle side property. The correct option is A.
What is congruency?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.
Given that there are three triangles and these three triangles are connected to each other at the centres' A, B, and C.
The diameter of the three circles is HF, DF, and DH. The three diameters are similar in shape and are also equal to each other.
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can someone please help me solve these 4
Answer:
find the area and then multiply
Step-by-step explanation:
Mara is playing a game. There are two marbles in a bag. Ifshe chooses the purple marble, she will win $10. If she chooses the orange marble, she will win $200. What is the expected value of Mara's winnings from the game?
Answer:
Step-by-step explanation:
Mara has a 50% chance of getting the purple marble and 50% of getting an orange marble, since there's 2 marble; 1 purple and one orange; 1/2 = 50%
So she has a 50% chance of receiving $10 and a 50% chance of receiving the $200.
subtract 8 and 1/5 - 4 2/5
Answer: = -3
Step-by-step explanation:
Evaluate ( f/g)(x) if f(x) = 2x and g(x) = 3x – 2 when x = 2.
Answer:
1
Step-by-step explanation:
(f/g)(x)
= [tex]\frac{f(x)}{g(x)}[/tex]
= [tex]\frac{2x}{3x-2}[/tex] ← substitute x = 2 into the expression
= [tex]\frac{2(2)}{3(2)-2}[/tex]
= [tex]\frac{4}{6-2}[/tex]
= [tex]\frac{4}{4}[/tex]
= 1
Given f(x) = 21 - 1, complete the missing values in the table
Answer:
first one is f(x)=-5
second one is f(x)=7
third one is x=-3
4th one is x=0
5th one is f(x)=1
6th one is x=-4
Step-by-step explanation:
first one. plug in x as -2:
f(x)=2*-2-1=-4-1=-5
second one is the same way:
f(x)=4*2-1=8-1=7
third one is a different one:
2x-1=-7
2x=-6
x=-3
4th one is the same way:
2x-1=-1
2x=0
x=0
5th way is the same thing as previous:
f(x)=2*1-1=2-1=1
Finally, the 6th one is the same thing as the 4th one:
2x-1=-9
2x=-8
x=-4
Done!
Solve for x + (1/x):
3x + (2/x) - 4 = 2(x+9) - (7 - (1/x))
Answer:
Step-by-step explanation:
At a school game, student tickets were 50 cents each and adult tickets were $1 each. If the total receipts from 900 tickets were $500, how many tickets of each kind were sold?
Answer:
Step-by-step explanation:
A(1.00) + S(0.50) = 500
A + S = 900
S = 900 - A
A(1.00) + (900 - A)(0.50) = 500
A + 450 - 0.5A = 500
0.5A = 50
A = 100 adults
S = 900 - 100
S = 800 students
No. of students tickets sold is 800 and no. of adult tickets sold is 100.
What is linear equation in two variable ?A linear equation has highest degree of 1 and it contains two variables generally x and y.
According to the given question At a school game, student tickets were 50 cents each and adult tickets were $1 each. If the total receipts from 900 tickets were $500.
Assuming no. of students to be x and no. of adults to be y.
∴ x + y = 900...(i)
And
0.5x + y = 500...(ii)
Subtracting eqn (i) and (ii) we get
0.5x = 400
x = 800.
So, 800 + y = 900
y = 100.
Therefore how many tickets are sold is same as the no. of students and adults which are 800 and 100 respectively.
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When a retired police officer passes away, he leaves $325,000 to be divided among his five children and three grandchildren. The will specifies that each child is to get twice as much as each grandchild. How much does each get?
How many time can 3/8 go into 12?
Answer:
32
Step-by-step explanation:
This is a division problem.
12 divided by 3/8.
12 ÷ 3/8 = 12/1 × 8/3 = (12 × 8)/(1 × 3) = 4 × 8 = 32
Answer: 32
WHOEVER EXPLAINS FIRST GETS BRAINLIEST!!
Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve.
-2/5x-9<9/10
Which represents the RANGE of the following relation? {(-6, 5), (-4, 3), (-1, 0), (4, 3)}
Answer:
5, 3, 0, 3 are all the ranges! Hope this helps
Step-by-step explanation:
Ranges are on the right, domains are on the left
For what value of x does 32X – 9^3x-4?
Answer: X = 4/61
Step-by-step explanation
Plot 1[tex]\frac{2}{5}[/tex] −12, and −2[tex]\frac{1}{10}[/tex] on the number line.
Answer:
1st= 2.4 on the line
2nd= -0.5 on the line
3rd=2.1 on the line
Step-by-step explanation:
1st=because each line represents 1 part so if it is split into 5 you have to treat 2 lines as one
2nd 1/2=0.5 so -1/2= -0.5
3rd if one line is one part then it is 2.1
Help pls!!!! Help PLs Help pls
Answer: mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
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How can one determine the number of x-intercepts of the graph of a quadratic function without graphing the function?
Answer:
The easiest method is to find the x-intercepts of the quadratic function by substituting y=0 in the function and solving it to find the possible values of x. The number of all possible values of x is the number of x-intercepts of the graph.
Find
∂f
∂x
,
∂f
∂y
, and
∂f
∂z
.
f(x, y, z) = 32xyz
Answer:
what are the measurements for 1 and 2?
Step-by-step explanation:
George Washington
B = {x|x ∈ N and 1 ≤ x < 9}
Answer:
Set membership x ∈ X means x is an element of the set X. (Non-membership is written x ∈ X.) Set inclusion X ⊆ Y means every element of X is an element of Y ; X is a subset of Y .
Step-by-step explanation:
Carry on learning
Help
This is a a or b question
Answer:
A. (A) Yes
B. (A) Yes
C. (B) No
Step-by-step explanation:
A is Categorical because it is not based on numbers.
B is Categorical because it is not based on numbers.
C is Not Categorical because it is based on numbers.
Write an expression that is the product of two factors and is equivalent to -2x - 10
PLEASE HELP
Answer:
-2(x + 5)
Step-by-step explanation:
Write 0.06 as a fraction
Answer:
3/50
Step-by-step explanation:
Answer:
0.06 is equal to 3/50.
Hope that helps. x
138.4divided by16 show works it possible to show your work
Which of the following expressions is equivalent to 7 - 2 (y - 1)
Since nothing is shown, you can infer.
First to solve the expression:
1) Expand by distributing terms.
[tex]7-(2y-2)[/tex]
2) 2 Remove parentheses.
[tex]7 - 2y + 2[/tex]
3) Collect like terms.
[tex]-2y+(7+2)\\[/tex]
4) Simplify.
[tex]-2y + 9[/tex]
The expression that is equivalent to [tex]7-2(y-1)[/tex] is [tex]-2y + 9[/tex].
Hope this helps,
- Recordofraganrok
What is the average rate of change on the interval from 3 to 9?
Enter your answer in the grid below. Make sure your answer contain
Answer:
5
Step-by-step explanation:
HELP ME PLEASEEEEEE I WILL GIVE BRAINLIEST
Answer:
DE, EW, WD
Step-by-step explanation:
From shortest line to longest line this would be the correct order.
Solve -2/3x > 8 or -2/3x < 4.
{x | x > -12 or x < -6}
{x | -12 < x < -6}
{x | x < -12 or x > -6}
{x | x < -12 or x > -6}
=========================================================
Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to choice C as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.
The radius of a circle wheel is 35 cm. How many revolutions does it make to cover a distance of 81.40
Answer:
.37 resolutions
Step-by-step explanation:
2×22/7×35
44.5×=220
0.37 revolutions