Instructions: Find the angle measures given the figure is a rhombus.
Please Help!
Answers
Answer:
30
Step-by-step explanation:
since this is rhombus 1 2 3 4 must be equal
|NP|=|MN|
so 180-120=60
60/2=30
Answer: All four angles (angle1,2,3,4) are 30 degrees each
===========================================================
Explanation:
A rhombus has all four sides that are the same length. Think of a square, but we don't necessarily need to have all four angles be 90 degrees (as the diagram indicates).
Focus on triangle MNP. We have N = 120 degrees. We also know that MN = NP due to the fact all four sides of a rhombus are the same length.
This immediately leads to triangle MNP being isosceles. The base angles opposite the congruent sides are congruent angles. So angle 1 and angle 3 are the same measure. For triangle MNP, angle M and angle P are the same.
Let's find the missing angle
M+N+P = 180 ... angles of a triangle add to 180
M+120+M = 180 ... plug in N = 120, replace P with M
2M+120 = 180
2M = 180-120 ... subtracting 120 from both sides
2M = 60
M = 60/2 .... dividing both sides by 2
M = 30
So N is also 30 degrees
------------------------
We've found that both angle 1 and angle 3 are 30 degrees each.
Any rhombus is a parallelogram, which means that angles 1 and 4 are congruent alternate interior angles. Similarly, angles 2 and 3 are the other pair of alternate interior angles.
Therefore, we can say
angle 1 = angle 4 = 30 degrees
angle 2 = angle 3 = 30 degrees
Related Questions
How do you use long division to show the work?
Answers
Answer: 83.2/26= 3.2
90. 54/18= 93
Step-by-step explanation: Divide the tens column dividend: by the divisor
Multiply the divisor by the quotient in the tens place column.
Subtract the product from the divisor.
Bring down the dividend in the ones column and repeat.
dividend: can be divided by another number)
divisor: Number that divides into another without a remainder.
When simplifled, the value of the expression (15 - 11) 2 + 64 +4 is equal to
10
4
24
18
Answers
Answer:
I genuinely dont see the answer lol
Step-by-step explanation:
P - Parenthesis
E - Exponent
M - Multiply
D - Divide
A - Add
S - Subtract
[tex](15 - 11)2 + 64 + 4 \\ (4)2 + 64 + 4 \\ 8 + 64 + 4 \\ 72 + 4 \\ 76[/tex]
In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?
A.
left
B.
down
C.
up
D.
right
Answers
Answer:
In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?
A. left
B. down
C. up
✓D. right
Right is the right answer.
Answer:
Down
Step-by-step explanation:
I took the test and got it right
Worth lot of points
Answers
Answer:
Step-by-step explanation:
plug in -3 into the given g(x) formula where x = -3
(3(-3) -5) / (-7(-3) -4)
(-9-5) / (21-4)
-14 / 17
[tex]-\frac{14}{17}[/tex]
Answer:
Step-by-step explanation:
x = -3 인 주어진 g (x) 공식에 -3을 연결합니다.
(3 (-3) -5) / (-7 (-3) -4)
(-9-5) / (21-4)
-14/17
4 2/3 ÷ 7 = ?
help pleaseee
Answers
Answer:
0.66666666666
Step-by-step explanation:
this is a real answer
HELP ASAPP!!!!!!!!!!!!!!!!
Answers
Answer:
1st one
Step-by-step explanation:
[tex] \frac{1x}{8} + \frac{1x}{8} \\ \frac{2 x}{8} = \frac{1x}{4} [/tex]
what is the solution set of the inequality x+2/2≥-7-x/2
Answers
Answer:
[tex]x\geq - \frac{16}{3}[/tex]
Step-by-step explanation:
x +2/2 ≥ -7 - x/2
= x ≥ -16/3 (sign doesn't change since you didn't divide by a negative number).
Ace Carlos
Answer:
[tex]x\geq \frac{-16}{3}[/tex]
Step-by-step explanation:
Divide 5,917 ÷ 37 = ________.
161 r 9
161 r 34
159 r 9
159 r 34
Answers
Answer:
the last one
Step-by-step explanation:
37*159+34=5917
Answer:
159 r 9
Step-by-step explanation:
Is this correct? Checking if a point is in a line
Answers
Answer:
this is correct
Step-by-step explanation:
Step-by-step explanation:
not true but the number is wrong tho I got 14=-2
hope it help
A garden table and a bench cost 821 combined.The garden table costs 79 less than the bench. What is the cost of the bench?
Answers
Someone please help! What is the domain and range of the relation?
Answers
Answer:
The domain is the set of all first elements of ordered pairs (x-coordinates).
The range is the set of all second elements of ordered pairs (y-coordinates).
Only the elements "used" by the relation or function constitute the range.
7% of what length is 200 feet
Answers
Answer:
Roughly 2857.14
Step-by-step explanation:
Answer:
2857.14285714 feet.
Step-by-step explanation:
If we put your question into an equation, we get:
7/100 * n = 200
We multiply both sides by 100 to get rid of the fraction, and get:
7n = 20000
Then, to find n, we divide both sides by 7.
Therefore,
n = 2857.14285714.
What is 5 -90 as a decimal
Answers
Answer:
-0.85
Step-by-step explanation:
First you subtract 5-90
the answer is -85
then convert -85 to a decimal
the answer is -0.85
A wall is y meters long.Two-thirds of the length of the wall is covered with stucco.The rest is covered with stone. Express the length of the wall that is covered in stone.
Answers
Answer:
points
Step-by-step explanation:
what is the best estimate for the length off a car?
5 meters
5 kilometers
5 milimeters
5 centimeters
Answers
Answer:
5 meters
Step-by-step explanation:
Answer:
5 meters
Step-by-step explanation:
;)
The fastest car in the world can travel at a speed of over 250 miles every hour. This is about 4 times as fast as an average highway speed of 65 miles every hour.
Answers
Answer:
125
Step-by-step explanation:
There are four types of flowers in Mrs. Elliott’s garden, 1/2 of the flowers are red, 1/4 of them are purple. Of the remaining flowers, ⅔ are pink, there are 4 yellow flowers. How many flowers are there in Mrs. Elliott's garden?
Answers
Answer:
48 flowers.
Step-by-step explanation:
You know that there are red, purple, pink, and yellow flowers in the garden. Since you know that 1/2 are red and 1/4 are purple, the pink and yellow flowers (combined) must make up the remaining 1/4 of the garden.
You're told in the problem that of this remaining 1/4, 2/3 are pink. That must mean 1/3 are yellow. There are twice as many pink flowers as yellow flowers.
The problem also says there are 4 yellow flowers. This means that 1/3 (of the remaining 1/4) is equal to 4.
To figure out how many pink flowers there are, you can multiple 4 x 2. There must be 8 pink flowers.
To find the total number of pink and yellow flowers, add 8 + 4. There are 12 pink and yellow flowers.
Remember that the pink and yellow flowers must make up the remaining 1/4 of the garden. If 12 flowers is equal to 1/4 of the garden, then you can multiply by 12 x 4 to figure how many flowers are in the entire garden: 48 flowers.
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 405 gram setting. It is believed that the machine is underfilling the bags. A 22 bag sample had a mean of 396 grams with a variance of 441. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal.
Required:
State the null and alternative hypotheses.
Answers
Answer:
We reject H₀
Step-by-step explanation:
Normal Distribution with n = 22 ( sample size)
n<30 we need to use a t-student distribution
Sample mean μ = 396
Population mean ( required mean ) μ₀ = 405
Sample variance is 441 then sample standard deviation s = √441
s = 21
Hypothesis Test
Null Hypothesis H₀ μ = μ₀
Alternative Hypothesis Hₐ μ < μ₀
Significance level α = 0,1
The test is a one-tail test to the left
From t-student table we find for t(c)
degree of fredom df = 22 -1 df = 21
and α = 0,1 t(c) = - 1,3232
To compute t(s)
t(s) = ( μ - μ₀ ) / s /√n
t(s) = ( 396 - 405 )*√n / 21
t(s) = - 9 *4,69 /21
t(s) = - 2,01
Comparing
t(s) and t(c) - 2,01 and - 1,3232
|t(s)| > |t(c)| then t(s) is in the rejection region we must reject H₀
I need helps can someone help me please!!!
Answers
Answer:
Jk= 27
LM= 22
KL= 16
MJ=16
Answer:
JK=27
LM=27
KL=16
MJ=16
Step-by-step explanation:
JK=4x+7
=27
LM=5x+2
=27
KL=2y-2
=16
MJ=y+7
=16
so, JK= 27 and KL=16
(I hope u got it)
4x-5+2r= -11
What is the value of x?
Answers
Hope this helps
Have a great day/night
A rectangular prism is a three-dimensional geometric figure, hollow or solid, contained by six rectangular sides that meet at right angles to form eight vertices. The maximum capacity of a rectangular prism is calculated with the formula, V = l · w · h, where V = Volume and l = length, w = width, and h = height. Which of the following situations best models the maximum capacity of the rectangular box shown below? Select all that apply.
V = 250 x2y2 cubic units
V = (10 xy)(10 xy) cubic units
V = (5y)(2x)(10xy)cubic units
V = 100 xy cubic units
V = 100 x2y2 cubic units
Answers
Answer:
1 3 4 i think im not fully sure
Step-by-step explanation:
for each one fifth, use a horizontal line or lines to show fractions equivalent to 1/5 and write the equivalent fractions
Answers
Answer:
2/10
Step-by-step explanation:
Answer all questions and the topic is about ordering decimals and don't answer if u do not know.
Answers
Answer:
31. 0.93, 0.9, 0.33
27. 6.13, 6.14, 6.31
28. 3.09, 3.19, 3.9
29. 12.96, 12.83, 12.8
25. 9.06, 9.6, 9.66
26. 0.09, 0.67, 0.86
Step-by-step exp
Suppose that Mudlark decides to sell 140 tickets for this flight. Assuming that all 140 tickets are sold and that the outcome for each ticketholder is independent, how many ticketholders should the airline expect to show up
Answers
This question is incomplete, the complete question is;
Lets consider a hypothetical airline, Mudlark Airlines. On one of its flight, previous records show that about 15% of people who had tickets for the flight did not take the flight. There are 120 seats on the plane.
Suppose that Mudlark decides to sell 140 tickets for this flight. Assuming that all 140 tickets are sold and that the outcome for each ticketholder is independent, how many ticketholders should the airline expect to show up
Answer: the airline should expect 119 ticketholders to show up
Step-by-step explanation:
Given that;
the plane contains 120 seats
Their records shows that 15% (0.15) percent of people who previously buy their flight tickets don't show up.
they sold 140 tickets,
Number of ticketholder expected to show up = ?
Probability of showing up for flight will be;
⇒ 1 - 0.15 = 0.85
Now Expected number of ticketholders to shup will be;
⇒ 140 × 0.85
= 119
Therefore the airline should expect 119 ticketholders to show up
Select all of the equations where x = 3 is a solution.
A.7x - 2 = 19
B.5x = 15
C.5x + 6 = 21
D.2x=5
E.3x = 33
F.3x = 1
Answers
Answer:
x=3 in equation ;5x=15 and in equation C.
One gram of fat has 9 calories. A one-ounce slice of
American cheese has 9 grams of fat. The slice has a total
of 110 calories. What percent of the calories in the cheese
is from fat? Round to the nearest whole percent.
Answers
A florist sells 3 roses for a total of $10. Each rose costs the same amount. What is the cost of 12 roses?
A. $9.60
В. $10.40
C. $14.00
D. $15.00
Answers
Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
if 3 roses costs 10 dollars
3x4=12 roses.................10x4=40 dollars
Apply the distributive property to factor out the greatest common factor of all three terms. 24c + 36d + 18 =
Answers
Answer:
[tex]24c + 36d + 18[/tex] [tex]= 6(4c + 6d+3)[/tex]
Step-by-step explanation:
Given
[tex]24c + 36d + 18[/tex]
Required
Factorize
[tex]24c + 36d + 18[/tex]
Expand each term
[tex]6*4c + 6 *6d+6 *3[/tex]
Factor 6 out of the expression
[tex]6(4c + 6d+3)[/tex]
Hence:
[tex]24c + 36d + 18[/tex] [tex]= 6(4c + 6d+3)[/tex]
Answer:
6(4c+6d+3)
Step-by-step explanation:
Max has 42 baseball cards. Jordan has b baseball cards. Max has 6 times as many baseball cards as Jordan Decide if each statement is correct. Choose Yes or No for each statement
Answers
Answer:
where are the statement?
Step-by-step explanation:
Express in the form 1:n
Give n as a fully simplified fraction.
12:2
Answers
Answer:
divide 12
12/12 : 2/12
1 : 2/12
1 : 1/6
n=1/6