Find the value of x and y. Triangle MNP = triangle TUS
Answer:
x = 32, y = 51
Step-by-step explanation:
Since the triangles are congruent then corresponding sides and angles are congruent, that is
∠ U = ∠ N
∠ N = 180° - (142 + 24)° = 180° - 166° = 14° , then
2x - 50 = 14 ( add 50 to both sides )
2x = 64 ( divide both sides by 2 )
x = 32
and
NP = US
2x - y = 13
2(32) - y = 13
64 - y = 13 ( subtract 64 from both sides )
- y = - 51 ( multiply both sides by - 1 )
y = 51
Using the triangle theorem, the values of x and y is 32° and 51° respectively
From △MNP
∠M + ∠N + ∠P = 180° (Sum of interior angles in a triangle)
N = 180 - (142 + 24)
N = 180 - 168
N = 14°
Equate the expression :
2x - 50 = 14
2x = 14 + 50
2x = 64
x = 64 / 2
x = 32°
From ; 2x - y = 13 _____(1)
Substitute x = 32 into the expression ;
2(32) - y = 13
64 - y = 13
64 - 13 = y
51° = y
Therefore, the values of x and y is 32° and 51° respectively.
Learn more : https://brainly.com/question/8317316
Solve negative 2 x plus 3 is greater than or equal to negative 3
Answer:equal
Step-by-step explanation:
Answer:
x is less than or equal to 3
Step-by-step explanation:
subtract three from both sides which will give you 2x is greater than or equal to -6. then divide by -2 on both sides to isolate x (dividing by a negative number flips the sign and a negative divided by a negative equals a positive) so then you get x is less than or equal to 3
Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in: 3 hours
Answer:
26 miles
Step-by-step explanation:
8 2/3 × 3 =26miles
hope this helps
Answer:
24 and 2/3
Step-by-step explanation:
The area of a rectangular field is 99m2. The length of one side is
11m. The farmer needs to know its perimeter to work out how
much fencing will be needed? Help
Answer:
40 m
Step-by-step explanation:
The length of another side
= 99÷11
= 9 m
The perimeter of the field
= 9×2 + 11×2
= 40 m
Answer:
40 m
Step-by-step explanation:
Hi there!
What we know:
The field is rectangularA = 99 m²Length of one side = 11 m1) Find the length of the other side
Plug all the given information into the area formula for a rectangle:
[tex]A=lw[/tex] where A is the area, l is the length and w is the width
[tex]99=11w[/tex]
Divide both sides by 11 to isolate w
[tex]\frac{99}{11} = \frac{11w}{11} \\9=w[/tex]
Therefore, the width of the field is 9 m.
2) Find the perimeter of the field
[tex]P=2(l+w)[/tex] where l is the length and w is the width
Plug in the length (11 m) and the width (9 m)
[tex]P=2(11+9)\\P=2(20)\\P=40[/tex]
Therefore, the perimeter of the field is 40 m.
I hope this helps!
HELPPP PLZZ
What is the radius of a cylinder that has a volume of 500 ft ³ and that is 10 ft tall?
Answer:
The answer is 3.98942, rounded its 3.99.
Step-by-step explanation:
Answer:
3.99 ft
Step-by-step explanation:
Volume of a cylinder = πr²h
π = 3.14
volume = 500 ft³
height = 10 ft
πr²h = 500
3.14×r²×10 = 500
r² = 500/3.14×10
= 15.92..
= √15.92
r = 3.9899.. ≈ 3.99 ft
PLZZZ HELP ME!!!
Find the volume of the pyramid.
An oblique rectangular pyramid with a base length of 3 centimeters and a width of 1 centimeter. The pyramid has an altitude of 7 centimeters.
V=lwh/3
=3*1*7/3
=21/3
=7
Hope you like my answer.
Answer:
V=7 (Volume)
Step-by-step explanation:
V=lwh/3=3*1*7/3=7
I know this is in german but i really really need help...
Answer:
i would have helped u
Step-by-step explanation:
but i have forgotten the steps in solving this question
Answer:
is this Afrikaans laguage I don't understand your questions please comment it in English for me
HELP ME Using the following equation, complete the square and find the center and radius of the circle:
x2 + y2 + 4x − 6y − 12 = 0
You must show all work and calculations to receive credit.
Answer: [tex](-2,3)[/tex], [tex]r=5\ \text{units}[/tex]
Step-by-step explanation:
Given
the equation is [tex]x^2+y^2+4x-6y-12=0[/tex]
completing the square
[tex]\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2[/tex]
Thus, the center of the circle is [tex](-2,3)[/tex] and radius is [tex]r=5\ \text{units}[/tex]
What is the least number of plums that can be shared equally among 6, 9 or 12 children?
Answer:
in order to find the least number of plums that can be shared, we have to find the greatest common factor of 6 ,9 and 12. the greatest common factor of 6 , 9 and 12 is 3. so if we have three plums. for 6 children , we have 3 plums.
Step-by-step explanation:
:)
A coin is flipped 8 times. Find the probability of the event: exactly 3 heads
Answer:
The probability of the coin landing on heads 3 out of 8 times is 0.22, but the closest thing to that is 0.219.
Answer:
Step-by-step explanation:
The answer is exactly 0.219
You have 8 objects and you want to choose 3 of them. 8 Choose 3 looks like
8 * 7 * 6 / 3!
3! = 6
So the answer is 8*7 = 56
There are 2^8 = 256 ways you can throw either heads or tails.
The number of successes = 56/256 = 0.219 The nine is rounded.
hey can someone please help me solve this you will get 10 pioints!!
Answer:
area of triangle will be same as parallelogram
second one is 12unit^2.
plzz answer it fast asap
Answer:
The length of the box is 6 cm. The width of the box is 3 cm. The height of the box is 2 cm.
Step-by-step explanation:
volume = length x width x height In this instance volume = 36 m³. I will let “b” be the length of the box. “w’ will be the width of the box. And “h” will be the height of the box. Therefore we know that b = 2w and b=3h. So: w= b /2 and h=b /3.
36 m³= b(b/2)(b/3)
36 = b³/6
b ³ = 216
b = 6
w = 6/2 = 3
h = 6/3 = 2
GUYS SINCE YOU ARE SMART AND IM NOT HELP PLEASE
Which scatterplot shows a linear association?
Answer:
The first one I believe
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
The scatter plots likes b, c and d are non linear associations. You can easily remember this just by looking how weird shaping they are for example d. You can always remember that a scatter plot like d is always nonlinear.
Which area on the map benefited MOST from the space program? A) 1 B) 2 C) 3 D) 4 PLSS I NEED A 100!!!!!!! HURRY :[
Answer:
wheres the pic
Step-by-step explanation:
The ratio of mango ice cream to strawberry ice-cream is 1:4. Total no. of ice cream is 30. What is the no. of mango ice-cream?
Step-by-step explanation:
let the ratio of ice cream be x&4x
total number of ice cream =30
now,
x+4x=30
5x=30
x=30/5
x=6
mango ice cream=x=6
strawberry ice cream=4x=4×6=24
hope it helps.
Answer:
6 !
Step-by-step explanation:
mango = x
strwberry = 4x
total = x+4x = 5x = 30
5x= 30
x= 30/5 = 6
mango = x= 6
strwberry = 4x = 24
I hope im right!
what is the quotient when the fraction 1/3 is divided by the whole number 6?
Answer:
[tex]\frac{1}{18}[/tex]
Step-by-step explanation:
Factor the expression completely. 60x^3+50x^5
Answer: 10x^3(6+5x^2)
what does tan -1 (0.88) equal
Answer:
-1.3705187977
inputs and outputs of organizational system
Answer:
Inputs are the conditions that exist prior to group activity, whereas processes are the interactions among group members. Outputs are the results of group activity that are valued by the team or the organization.
Step-by-step explanation:
please mark this answer as brainliest
6).
24 eggs are needed to make omelets for 8 people, how many eggs
are needed to make an omelets for 6 people?
Answer:
18 eggs
Step-by-step explanation:
first we divide 24 by 8 to see how many eggs are in one omlete
24/8=3
Now we take 3 times 6 ( because there is 6 people you are making it for)
6x3=18
18 eggs
If you need more help I would love to help!
Answer:
18 eggs
Step-by-step explanation:
1: x/24=6/8
2: 24*6=144-(1st step for cross multiplication)
3: 144/8=18-(2nd step for cross multiplication)
4: 18 eggs-(final answer)
Cross multiplication: Write your 2(or more) equivilent fractions, and write your variable as x or any other letter. If your variable is in the numerator, take the denominator and multiply it with the other fraction's numerator and divide your answer with the denominator of the other fraction. If x is in the denominator, switch your variable with the other fractions numerator and solve the same way you would if the variable was in the numerator-(sorry if I made it to complex, but the idea is really simple:)
Using the expression 4y + 18, identify the following:
1. variable
2) coefficient
3) constant
Answer:
The variable is y
The coefficient is 4
The constant is 18
Answer:
1. y
2. 4
3. 18
..............
Find the inverse of the function.
f (x) = (x - 5)3=
Answer:
i think its (x - 5)3 = (x) f
Step-by-step explanation:
Please help ASAP due 9:20, will give brainliest
Answer:
1) 1,095
Step-by-step explanation:
[tex]a^{2} +1300^{2} =1700^{2} \\ a^{2} =1700^{2} -1300^{2} \\ =2890000-1690000\\ =1200000[/tex]
[tex]a^{2} =1200000\\ a=\sqrt{1200000} \\ a=1095.4451[/tex]
round to 1,095
Answer:
The answer is 1
Step-by-step explanation:
[tex]a =\sqrt{c^{2} - {b^{2 } \\[/tex]
[tex]a = \sqrt{1700^2 - 1300^2}[/tex]
[tex]a = \sqrt{2890000 - 1690000}[/tex]
[tex]a = \sqrt{1200000}[/tex]
[tex]a = 1095.4451150103[/tex]
Diego, Elena, and Andre participated in a walk-a-thon to raise money for cancer research. They each walked at a constant rate, but their rates were different. 3. a. How fast was Diego walking in miles per hour?
Answer:
3 miles per hour
Step-by-step explanation:
It is given that Diego and his friends took part in a walk a thon to raise money for cancer research.
From the table, it is given that:
Time took by Diego in hours = 2 hours
Miles walked by Diego in miles = 6 miles
Therefore, Diego is walking with a speed of = [tex]$\frac{6}{2}$[/tex]
= 3 miles per hour
The height h, in feet, that an arrow will reach 1 seconds after being shot directly upward is given by the formula h = 1121 - 1612
How high will the arrow be after 4 seconds?
Answer:
4484 - 6448
Step-by-step explanation:
Given: 1 second = 1121 - 1612.
To find: How high the arrow will be after 4 seconds.
Solution:
If 1 second = 1121 - 1612, then 4 seconds = 4 × 1
4 × 1121 - 1612 = 4484 - 6448
Therefore, the arrow will be as high as 4484 - 6448 in 4 seconds.
Hey can you help me fast!!!
Shannon participated in a national math contest by taking a math test. The test results followed a normal distribution with a mean score of 72.6 points out of 100 and a standard deviation of 8.7. Shannon received a score of 81 points. Shannon thinks she performed better than 68% of the students in the contest
Shannon is incorrect because her score of 81 is...
a. approximately −2 standard deviations from the mean
b. approximately −1 standard deviations from the mean
c. approximately 1 standard deviations from the mean
d. approximately 2 standard deviations from the mean
∠1and ∠2 are complementary angles.
m∠1=52°
What is the measure of ∠2?
Answer: 38°
Step-by-step explanation:
Complementary angles are two angles that add up to 90°
Simce the first angle is 52°, subtract 90-52 to get 38°
What would the missing value be?
Answer:
x = 9
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 6) and (x₂, y₂ ) = (x, - 5 )
m = [tex]\frac{-5-6}{x-2}[/tex] = [tex]\frac{-11}{x-2}[/tex] , then
[tex]\frac{-11}{x-2}[/tex] = - [tex]\frac{11}{7}[/tex] ← numerators are equal, so equate the denominators
x - 2 = 7 ( add 2 to both sides )
x = 9