Answers
Answer:
A is 55°
Step-by-step explanation:
To solve this, you need to remember that the sum of the angles inside a triangle is equal to 180 degrees.
Also, noting that this is an isosceles triangle. That means that a and b are equal. With that in mind, we can simply say:
a + b + c = 180
a ≡ b ∴ 2b + c = 180
2(4x + 31)° + (2x + 58)° = 180°
8x° + 62° + 2x° + 58° = 180°
Let's just stop right here, and note that normally you can treat symbols of measurements just like variables. We've done the same here, applying the distributive property with the ° symbol. Note though that it's currently part of every single term, so I'm going to factor it out:
(8x° + 62° + 2x° + 58°) / 1° = 180° / 1°
8x + 62 + 2x + 58 = 180
10x + 120 = 180
10x = 60
x = 6
Again noting that A and B are identical due to this being an Isosceles triangle, we can say:
A = (4x + 31)°
A = 24° + 31°
A = 55°
We can also check our answer. The sum of the angles should be 180, and two of those angles should be 55. That means that angle C should be 180 - 2 * 55, or 180 - 110 = 70. Let's test it:
70 = 2x + 58
70 = 12 + 58
70 = 70
So we know that our answer is correct.
Related Questions
Rewrite the number in Standard form
6 x 10^8
Answers
Answer:
10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100,000,000 x 6 = 600,000,000.
Answer:
600000000
Step-by-step explanation:
10^8=100000000
6×100000000=600000000
hope this helps
3/5+1/4
Give your answer as a fraction in its simplest form
Answers
Answer:
5.25/5 i think
Step-by-step explanation:
3/5 = 8/10 and 1/4 = 2.5/10
So if I do 8/10 + 2.5 / 10.
My reply is 10.5/10
And if I reduce as max, my reply is: 5.25 / 5
PLEASE ANSWER ASAP FOR BRAINLEST SUPER EASY QUESTION!!!!!!!!!!!!!!!!!!!!
what are 3 mathematical facts you can find in a rectangular prism?
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:According to splashlearn.com they say, "Rectangular prism has 8 vertices, 12 sides and 6 rectangular faces. All the opposite faces of a rectangular prism are equal. A rectangular prism has a rectangular cross section."
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
Rectangular Prism :
A rectangular prism has 8 vertices, 12 sides and 6 rectangular faces.
All the opposite faces of a rectangular prism are equal.
A rectangular prism has a rectangular cross section.
Rectangular prisms can be of two types, namely right rectangular prism and non-right rectangular prisms
Use slopes and y-intercepts to determine if the lines 4x−3y=6 and y=43x−1 are parallel.
Answers
Answer:
Since they have the same slope, they are parallel.
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope. If two lines are parallel, they have the same slope.
4x−3y=6
Placing into the above format:
[tex]3y = 4x - 6[/tex]
[tex]y = \frac{4x - 6}{3}[/tex]
[tex]y = \frac{4x}{3} - 2[/tex]
The slope [tex]m = \frac{4}{3}[/tex]
y=4/3x−1
The slope is [tex]m = \frac{4}{3}[/tex]
Since they have the same slope, they are parallel.
Help please I will give 50 points
Answers
[tex]7(6 + y)[/tex]
[tex](y \times 6) + (y \times 7)[/tex]
[tex]6(y + 7)[/tex]
[tex](y \times 6) {y}^{2} [/tex]
PLS HELP ME
The smallest hummingbird is the Bee hummingbird. It has a mass of about 1
1
4
grams. The mass of a larger type of hummingbird is about 6 times the mass of the Bee hummingbird.
What is the mass of the larger hummingbird?
Answers
Answer:
The mass of the larger hummingbird is 7 1/2 or 15/2.
Step-by-step explanation:
Bee hummingbird = 1 1/4g
Larger hummingbird = 6x that
So,
1 1/4 x 6 = 7.5
7.5 as fraction = 7 1/2 or 15/2
In AIJK, i = 270 cm, j = 170 cm and _K=122°. Find the area of AIJK, to the
nearest square centimeter.
Answers
9514 1404 393
Answer:
19,463 cm²
Step-by-step explanation:
The area is given by the formula ...
A = (1/2)ij·sin(K)
Filling in the values, we find the area to be ...
A = (1/2)(270 cm)(170 cm)·sin(122°) ≈ 19,463 cm²
An insurance office buys paper by the ream, 500 sheets, for use in the copier, fax, and printer. Each ream lasts an average of 4 days, with standard deviation 1 day. The distribution is normal, independent of previous reams. a. Find the probability that the next ream out- lasts the present one by more than 2 days. b. How many reams must be purchased if they are to last at least 60 days with probability at least 80%
Answers
Answer:
a) the probability that the next ream out- lasts the present one by more than 2 days is 0.0787
b) the number of reams that must be purchased is 19
Step-by-step explanation:
Given the data in the question;
Lets X₁ and X₂ be the two random variables that represents the first and second ream lasts
given that both random variables follow normal distribution with mean 4 and standard deviation 1.
a)
Find the probability that the next ream out- lasts the present one by more than 2 days.
P( X₂ - X₁ > 2 ) = P( [(X₂ - X₁ - E(X₂ - X₁)) / √(V(X₂ - X₁)] > [ (2-E(X₂ - X₁))/√(V(X₂ - X₁) ]
= 1 - P( Z ≤ [2-(μ₂ - μ₁)] / [√( V(X₂) + V(X₁) ) ] )
= 1 - P( Z ≤ [2-(4 - 4)] / [√( 1 + 1 )] )
= 1 - P = ( Z ≤ 2 / √2 )
= 1 - p( Z ≤ 1.4142 )
from excel; p( Z ≤ 1.41 ) = 0.9213
P( X₂ - X₁ > 2 ) = 1 - 0.9213
P( X₂ - X₁ > 2 ) = 0.0787
Therefore, the probability that the next ream out- lasts the present one by more than 2 days is 0.0787
b)
How many reams must be purchased if they are to last at least 60 days with probability at least 80%
total value is 4n
standard deviation is nσ
so
P(nX ≥ 60 ) = 0.80
P( nX-nμ /nσ ≥ 60-nμ/nσ) = 0.80
P( Z ≥ 60-4n/n) = 0.80
1 - P( Z ≥ 60-4n/n) = 0.80
P( Z < z ) = 0.20
now since z = 60-4n/n
from standard normal table
critical value of z corresponding to cumulative area of 0.20 is -0.841
so
z = - 0.841
60-4n/n = -0.841
60 - 4n = -0.841n
60 = -0.841n + 4n
60 = 3.159n
n = 60 / 3.159
n = 18.99 ≈ 19
Therefore, the number of reams that must be purchased is 19
circle A is defined as (x+5)^2+(y-6)^2=16, and circle B is defined as (x+3)^2+(y+2)^2=9. which transformation of circle A shows that circle B is similar
Answers
Answer: the answer is D “The center of circle A is translated left 2 and up 8, and the radius is enlarged by a scale factor of 4/3.”
Step-by-step explanation:
A line has a slope of 2 and y-intercept of -3/4 . Which if the following is an equation of the line ?
Answers
Answer: y = 2x - 3/4
Step-by-step explanation:
y = mx + b where m is the slope, and b is the y-intercept.
y = 2x - 3/4
Which of the following expressions is equivalent to 32 ÷ 4• 4 ÷ 2 • 2?
Answers
Answer:
128
Step-by-step explanation:
32 ÷ 4• 4 ÷ 2 • 2
8 .4.2.2
128
A private beach is 6/7 mile in length and 1/4 mile in width. What is the area of the private beach? (Don't forget to simplify)Immersive Reader
(20 Points)
Answers
6x1=6
7x4=28
Hence 6/28 is the area
A process manufactures ball bearings with diameters that are normally distributed with mean 25.14 mm and standard deviation 0.08 mm. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on
Answers
Answer:
The diameter is in the 77th percentile.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
25.14 mm and standard deviation 0.08 mm.
This means that [tex]\mu = 25.14, \sigma = 0.08[/tex]
A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on?
This is the pvalue of Z when X = 25.2. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25.2 - 25.14}{0.08}[/tex]
[tex]Z = 0.75[/tex]
[tex]Z = 0.75[/tex] has a pvalue of 0.77.
The diameter is in the 77th percentile.
The ratio of dogs to cats at the Humane Shelter is 3:9. If there are 45 dogs at the Humane Shelter, how many cats are there?
A. 405
B. 120
C. 135
D. 110
Answers
Answer:
c) 135
Step-by-step explanation:
dog ratio is 3
45 ÷ 3 = 15
therefore ratio 1 is 15
ratio 9
9×15 = 135
Question 2
There are 8 students in a discussion section: 3 boys and 5 girls.
If the teacher picks a group of 1 at random, what is the probability that everyone in the
group is a boy?
3/8
1/3
110
Submit answer
Exit
wl
Chin
Answers
Answer:
3/8
Step-by-step explanation:
this is because there are 8 students in all and only three of them are boys
Damian took out a car loan for $10,500 that has a 0% APR for the first 12
months and will be paid off with monthly payments over 3 years. For how
many months will Damian be charged interest?
A. 24 months
B. 48 months
C. 36 months
D. 12 months
Answers
Answer: 24 Months
Step-by-step explanation:
please help!!! and show work!!
Answers
Answer:
x = 17
Step-by-step explanation:
area = L x W
45 = (x-2)(x-14)
45 = x² - 14x - 2x + 28
simplify:
x² -16x - 17 = 0
(x + 1)(x -17 ) = 0
x = -1 not applicable
x = 17
Proof:
(17-2)(17-14) = 45
15 x 3 = 45
45 = 45
I need help with the questions I circle only.
Answers
Answer:
3:12
4:36
Step-by-step explanation:
( pls dont report me let me kno if it wrong and i will fix it
I didn’t get the last one
Can anyone help me with my homework
Answers
1 is -3,-2 which is G
2 is 3,4 which is F
3 is 2,0 which is B
4 is 1,-3 which is H
PLEASE HELP ME!!! PLEASE
Answers
Answer:
it should be (8,-7)
Step-by-step explanation:
this is for all the linemen out there respect the gut (im a RT and DE)
Answers
Answer:
oh
Step-by-step explanation:
Acellus
A
-3
-2.
-1
B
The distance AB rounded to the
nearest tenth = [?].
Hint: d= V(x2 – x1)2 + (y2 - y1)2
Enter
haha help plz
Answers
Answer:
[tex]AB = 3.6[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Distance AB
From the graph:
[tex]A = (-2,1)[/tex]
[tex]B = (1,-1)[/tex]
The distance is:
[tex]AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]AB = \sqrt{(-2 -1)^2 + (1- -1)^2}[/tex]
[tex]AB = \sqrt{(-2 -1)^2 + (1+1)^2}[/tex]
[tex]AB = \sqrt{13}[/tex]
[tex]AB = 3.6[/tex]
The sum of three consecutive positive numbers is 147. Find the product of the greatest and the
smallest number.
Answers
Answer:
any how there are three consecutive positive numbers
925 at 2% for 2.4 years
Answers
Answer:
Step-by-step explanation:
12+x=46
what is the answer to x?
Answers
Answer:
x=34
Step-by-step explanation:
A rectangle with an area of 61 units” is dilated by a scale factor of ;. Find the area of
the rectangle after dilation. Round your answer to the nearest lenth, if necessary.
Answers
Answer:
34 units
Step-by-step explanation:
I decided that one side is 61 units and the other is 1 unit, since that would make the area 61 units.
Then I multiplied 61 by 3/4, which equals a new length of 45.75 units, and I also multiplied 1 by 3/4, which equals a new length of 0.75 units.
Finally, I solve for the area of the rectangle:
45.75 x 0.75 ≈ 34 units (rounded to the nearest whole number)
Find the capacity of the tanks with the following internal dimensions. Express the capacity in cubic meters and liters for each tank.
Answers
Step-by-step explanation:
i) Capacity(Volume) = length x breadth x depth
= 3.2 x 2.9 x 1.5
= 13.92 m³
In litres, 13.92 x 1000 = 139,20 litres
ii) Capacity(Volume) = length x breadth x depth
= 2.5 x 1.6 x 1.3
= 5.2 m³
In litres, 5.2 x 1000 = 5200 litres
iii) Capacity(Volume) = length x breadth x depth
= 7.3 x 3.6 x 1.4
= 36.792 m³
In litres, 36.792 x 1000 = 36,792 litres
A company has a maximum advertising budget of $100,000 for the year. It
will be using two different platforms of advertising: online ads and billboards. Each online ad purchased will cost $15,000 for the year, and each billboard will cost $10,000 for the year. The company will not spend more than 60% of its overall budget on one of the platforms.Given that x represents the number of online ads purchased and y represents the number of billboards purchased, create a system of inequalities modeling the scenario. Select all that apply.
Answers
Answer:
Step-by-step explanation:
here is a tree diagram showing the sample independent events how many outcomes are there for the second event
8
1
2
4
Answers
4 events to begin with each has 2 possible outcomes.
Evaluate 4a^0 where a = -2
Answers
Answer:
[tex]4a^0 = 4 \times 1 = 4[/tex]
Explanation:
4(-2)^0= 4(1)= 4