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
Write an equation, and then solve.
5. Kiesha and Wanda went to the mall for 4.5 hours. While they were there, they went to a movie that lasted 130
minutes and ate dinner for 70 minutes. They spent the rest of the time walking around the mall. How long did
they spend walking around the mall?
Answers
Answer:
70 mins
Step-by-step explanation:
Lets first convert the 4.5 hours to minutes. We know that there's 60 mins in an hour, so we can just multiply 4.5 by 60 to get 270 minutes. Now we know the total time spent at the mall.
Then, we can add the times given in the question.
130 mins + 70 mins + walking mins = 270 mins
To solve, simply collect like terms:
200 mins + walking mins = 270 mins
walking mins = 270 mins - 200 mins
walking mins = 70 mins
102 - Harder brackets
Find an expression without brackets
for the area of each rectangle.
(x + 3)
area =
12)
No
calc
р
(-9)
Total
area =
121
Answers
Answer:
For figure 1:
Area of rectangle = 7x + 21
For figure 2:
Area of rectangle = [tex]\mathbf{p^2-9p }[/tex]
Step-by-step explanation:
We need to find area of rectangle
The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]
For figure 1:
Length = 7
Width = x+3
Putting values in formula and finding area of rectangle
[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=7\times (x+3)\\Now,\: multiply\:7\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=7(x)+7(3)\\Area\:of\:rectangle=7x+21\\[/tex]
So, area of rectangle = 7x + 21
For figure 2:
Length = p
Width = p-9
Putting values in formula and finding area of rectangle
[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=p\times (p-9)\\Now,\: multiply\:p\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=p(p)-p(9)\\Area\:of\:rectangle=p^2-9p\\[/tex]
So, area of rectangle = [tex]\mathbf{p^2-9p }[/tex]
a Ford f 150 truck is consider a half ton truck because that is how much it can haul . how many pounds can the truck haul
Answers
Answer:
1,000 pounds
Step-by-step explanation:
One ton is 2,000 pounds so half of one is a 1,000.
Lowkey need help ASAP
Answers
josè and nancy take care of animals when the owners are away. josè charges $15 plus $2 per animal. nancy charges $5 plus $3 per animal. for how many animals do they charge the same amount?
get it right i will give you 100 points
Answers
Hey there! I'm happy to help!
Here's José's equation.
J=2a+15
And here is Nancy's.
N=3a+5
We want to find the number of animals where they are the same amount, or where J=N. We can write these equations as equal and solve for a to find the answer!
2a+15=3a+5
Subtract 15 from both sides.
2a=3a-10
Subtract 3a from both sides.
-a=-10
Divide both sides by -1.
a=10
Therefore, José and Nancy charge the same amount for 10 animals.
Have a wonderful day! :D
Find the values of the variables in the parallelogram.
Answers
Step-by-step explanation:
We can find x very easily because the left and right sides are parallel,making the diagonal connecting them a transversal therefore x=33°
To find y we know that the sum of interior angles of a triangle is 180°
y+109°+33°=180°
y+142°=180°
y=38°
Now,
x+38°+z=180
33+38+z=180
z=180-71=109°
Tina contributes 9.5% of her monthly salary towards her 401(k) and her employer matches her contribution up to 5.4% of her annual salary. If the interest rate of her 401(k) is 8.1% compounded monthly and her monthly salary is $2,461, determine the amount in her account after 25 years. Round to the nearest cent.
a.
$339,804.33
b.
$354,452.86
c.
$344,941.24
d.
$347,269.59
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
In 25 years, Tina will have $354,452.86
Step-by-step explanation:
Monthly Contribution - $366.69 (Tina & Employer)
Length of Time in Years - 25
Estimated Interest Rate - 8.1%
Compound Frequency - Monthly
The following data is from a simple random sample of 12 students GPAs. 3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77 Develop a point estimate of the population mean.
Answers
Answer: 3. 2
Step-by-step explanation:
Given the data:
3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77
Point estimate of population mean :
Σx / N
(3.12 + 2.45 + 4.0 + 3.76+ 3.54 + 2.78 + 3.39 + 3.21 + 1.98 + 3.43 + 3.98 + 2.77)
= 38.41 / 12
= 3.2008
5x - 3 (x+3) = what to have infinitely many solutions
Answers
Answer: 1/4
Step-by-step explanation: I think that’s the answer! i’m sorry i’m in 8th fe are
polynomial expression
6x2 + 10x - 56
Answers
Answer:
-34
Step-by-step explanation:
Answer:
The answer is 34
Step-by-step explanation:
i was following the order of PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)
so i did 6x2 which got me to 12 and then I added 10 which gave me 22, and then lastly i subtracted 56-22 which gave me 34.
~Hope this explanation has helped you, have a great day/ night!~
please solve question in picture branoist to first and correct
Answers
Answer:
The correct answer is Option 3: 12y
Step-by-step explanation:
A polynomial term is usually made of a variable and a co-efficient.
Like terms are those terms that have the same variables i.e. x and 44x are like terms.
Given expression is:
[tex]6y-2y+8y[/tex]
All the terms have only y which means that all three terms are alike.
The coefficients of like terms are added or subtracted according to their sign.
[tex]6y-2y+8y[/tex] = 12y
Hence,
The correct answer is Option 3: 12y
ben made 14 field goal he made about 74% how many did he try
Answers
74% of 14 is 10.36
Round it to a whole number
=10
Look at this please i dont need help im just trying to tell everybody something
Answers
Answer:
ok
Step-by-step explanation:
Pls help as fast as u can
Answers
Answer:
Step-by-step explanation:
a)4.67
b) 2.27
do you not have a calculator? :/
Answer:
a. $2.2
b. $2.2
Step-by-step explanation:
Not completely sure if it's right for part b, but 100% sure my answer for part a is right.
What is the solution to the system of equations? =6x=y=8 5x+3y = 29 (10,-2) (10, 2) O (2, 10) (-2, 10)
Answers
Find the measure of angle Din the quadrilateral below.
A 85°
B 95°
C 120°
D?
Answers
Answer:
60 I
Step-by-step explanation:
Find the missing value in the percent statement using a proportion.
______ is 75% of 4.
Answers
Answer: 3
Step-by-step explanation: Hope I helped
What three ratios are equivalent to 10:12
Answers
Answer:
5:6, 20:24, 30:36
Step-by-step explanation:
please answer this question .
Answers
Answer:
Remember you have to find the coefficient between age
Step-by-step explanation:
Which statement about histograms is true?
Data is organized in categories.
Data appears as bars that are all about the same height.
Data is organized in equal intervals.
Data appears as bars that do not touch.
Answers
Answer:
C
Step-by-step explanation:
CCCCCCCCCCCCCCCCCCCCCCCCC
Answer:Data is organized in equal intervals.
Step-by-step explanation:
Kim, Mary and Erin made a total of 24 dozen cookies. Mary made twice as many cookes as Erin and Kim made 2 more dozen cookies than Erin. How many cookies did Erin make
Answers
Answer:
Erin made 5.5 dozen cookies.
Step-by-step explanation:
Total cookies made by Kim, Mary and Erin = 24 dozen cookies
Let Erin make cookies = x dozens
Mary made cookies = 2x dozens
Kim made cookies = x+2 dozens
Now, we need to find how many cookies did Erin made.
We can write:
[tex]x+2x+x+2=24[/tex]
Solving the equation we get:
[tex]x+2x+x+2=24\\4x+2=24\\4x=24-2\\4x=22\\x=22/4\\x=5.5[/tex]
So, Erin made cookies = x = 5.5 dozens
Mary made cookies = 2x =2(5.5) = 11 dozens
Kim made cookies = x+2 =5.5+2 = 7 dozens
Therefore, Erin made 5.5 dozen cookies.
In one class, there are 2 of every 8 students in the class chewing
gum. If there are 32 students in the class, how many students are
chewing gum?
Answers
Answer:
8
Step-by-step explanation:
Answer:
8 people are chewing gum
Step-by-step explanation:
32/8=4, meaning there are 4 sets of 8 students.
If 2 students are chewing gum for every 8, and there are 32 students, that would mean that multiplying 4 by 2 to get 8 total kids chewing gum.
You could also say that 6*4=24, and 32-24=8 if you want to double check.
Hope this helps :)
A researcher is interested in consumer preferences among three brands of yogurt. A sample of 90 people is obtained,
and each individual is asked to taste each brand and then select his/her favorite. The resulting frequency data are as
follows:
Brand A
Brand B Brand C
37
21
32
Do the data indicate any significant preferences among the three brands? Test at the .05 level of significance.
State the null hypothesis (1 point), the expected frequency for each category (3 points), the value of chi-
square (4 points), the df (1 points), the critical value of chi-square (2 points), and the decision regarding
significance (1 points).
Answers
Answer:
Step-by-step explanation:
From the given information:
The null hypothesis: all three brands are equally likely to their expected value
The alternative hypothesis: preferences exist among the three brands i.e. at least one is different from the expected value.
The expected frequency = [tex]f_e[/tex]
The observed frequency = [tex]f_o[/tex]
[tex]f_e[/tex] [tex]f_o[/tex] [tex](f_o- f_e)^2[/tex] [tex]\dfrac{(f_o - f_e)^2}{f_e}[/tex]
37 30 49.00 1.633
21 30 81.00 2.700
32 30 4.00 0.133
[tex]X^2 = \sum\dfrac{(f_o-f_e)^2}{f_e} = 4.47[/tex]
Degree of freedom = [tex](n-1)[/tex]
= 3 -1
= 2
At ∝ = 0.05 and df = 2
The critical value [tex]X^2_{0.05, 2}= 5.99[/tex]
Decision rule:
Since the calculated chi-square is less than the critical value, we do not reject the null hypothesis.
Thus, the null is retained with a calculated chi-square value of 4.47 and a critical chi-square value of 5.99.
Find the radius of a circle given that a central angle of measure pi/4 intercepts an arc of length 1.5in
Answers
Given:
Central angle = [tex]\dfrac{\pi}{4}[/tex]
Arc length = 1.5 in
To find:
The radius of the circle.
Solution:
We know that the formula for arc length is
[tex]s=r\theta[/tex]
Where r is radius and [tex]\theta [/tex] is the central angle in radian.
Substitute the given values in the above formula.
[tex]1.5=r\times \dfrac{\pi}{4}[/tex]
[tex]6=\pi r[/tex]
[tex]\dfrac{6}{\pi}=r[/tex]
[tex]\dfrac{6}{3.14}=r[/tex]
On further simplifiation, we get
[tex]r=1.910828[/tex]
[tex]r\approx 1.91[/tex]
Therefore, the radius of the circle is 1.91 in.
Algebraic Expression
43 times greater than
the sum of 57 and 93
Answers
43(57+93)
You’re going to want to put into parentheses the numbers 57 and 93 anytime you are asked for the sum of two numbers. Of course you would want to complete that portion of the algebraic expression first (PEMDAS) then you would want multiply that by 43 to make it 43 times greater.
43(150)
The final answer to the expression is 6,450
PLease ANSER ASASP!!!!!!!!!!!!
Sovle the problem
7 ( x + 4 ) = -21
what is x?
Answers
Answer:
X = -7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–1 + i) + (21 + 5i)? (–1 + i) + (21 + 5i) + 0 –1 + (i + 21) + 5i (–1 + 21) + (i + 5i) –(1 – i) + (21 + 5i)
Answers
Answer:
i think the answer is C, (-1 + 21) (i + 5i)
Step-by-step explanation:
i just took the test and got a 92% but it didnt tell me which ones were wrong. thats my best guess though. i hope it helps!
The expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that the expression is, (–1 + i) + (21 + 5i)
We have to find the expression that demonstrates the use of the commutative property of addition
According to the commutative property of addition, altering the order of addends has no impact on the sum.
Commutative law refers to either of two rules pertaining to the addition and multiplication of numbers that are expressed symbolically as a + b = b + a and ab = ba. These principles imply that rearranging the terms or factors of any finite sum or product has no effect on it.
Thus, the expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ6
please helppppp. i don’t get it and the teacher doesn’t explain it.
Answers
Answer:
1. 22
2. 12
3. Sorry, I'm unable to solve for 3.
4. 5
Step-by-step explanation:
AB is congruent to AD so let's solve the equation:
[tex] \: \: \: \: \: \: \: \: \: \: \: 8x - 2 = 6x + 4 \\ \frac{ - 6x \: \: \: \: \: \: \: \: \: \: \: = - 6x}{2x - 2 = 4} \\ \frac{ \: \: \: \: \: \: \: \: \: \: + 2 = + 2}{ \frac{2x}{2} = \frac{6}{2} } \\ x = 3[/tex]
☆Now we plug in for AD.
[tex]AD \\ 6x + 4 \\ 6(3) + 4 \\ 18 + 4 \\ 22[/tex]
---------------
m<CED is on a right angle, that angle equal 90 degrees.
[tex]7x + 6 = 90 \\ \frac{ \: \: \: \: \: \: - 6 = - 6}{ \frac{7x}{7} = \frac{84}{7} } \\ x = 12[/tex]
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#4. You can do the Pythagorean theorem
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {4}^{2} + {3}^{2} = {c}^{2} \\ {16} + 9 = {c}^{2} \\ \sqrt{25} = {c}^{2} \\ 5 = c[/tex]
------------
Need Heeeeeelp please ...
Answers
Solve.
-|-10|+ (-3) + |5|=
A. -18
B-8
C. 8
D. 12
E18
Answers
Answer:
The answer is for-|-10|+(-3)+|5|=-8 which is B
