Answers
9514 1404 393
Answer:
x = 10°; angles are 50°, 46°, 84° (CW from left)
Step-by-step explanation:
The sum of the three angles is 180°, so ...
(6x +10°) +(4x +6°) +(7x +14°) = 180°
17x +10° = 180°
17x = 170°
x = 10°
__
Then the angles are ...
6x -10° = 6·10° -10° = 50°
4x +6° - 4·10° +6° = 46°
7x +14° = 7·10° +14° = 84°
Related Questions
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
Answers
Answer:
32 units²
Step-by-step explanation:
this shape is a trapezoid with a height of 4 and bases that are 4 and 12 units in length
formula is: 1/2(height) x (sum of bases)
A = 1/2(4)(4 + 12)
A = 2(16)
A = 32
Autumn invested 2800 in a account paying an interest rate of 6.2% compounded monthly.Assuming no deposits or withdrawals are made how much money to the nearest ten dollars would be in the account after 8years
Answers
Answer:
4530.55
Step-by-step explanation:
2800 x 6.2% = 173.6
2800 + 173.6 = 3157.96
repeat this step 8 times because you need to find the money in the account after 8 years. Tell me if you need further explanation
The length of a subway is 385 miles. If 3 cm represents 35 miles on the map, then what is the length of the subway on the map in cm?
Answers
Answer:
33cm
Step-by-step explanation:
385 / 35 = 11
11 times 3 = 33
(45 + 33) +7 = 45 + (33 + 7)
What property is that
Answers
Answer:
Associative
Step-by-step explanation:
A fundraiser agrees to donate an extra $75 for every $100 the school raises through selling cookies what is the constant of the proportionality
Answers
Answer:
3/4 or 0.75
Step-by-step explanation:
The average cost of a bag of popcorn at the movie theater was $3.50 in 1995 and $4.75 in 2015 find the percentage change in the price of the bag of popcorn from 1995 to 2015 and classify as a percent increase or percent decrease
Answers
Answer:
500$ dollars
Step-by-step explanation:
What is the value of the fourth term in a geometric sequence for which ay =
10 and r = 0.5?
Answers
Answer:
1.25
Step-by-step explanation:
a = 10 and r = 0.5
The formula for calculating any term in a geometric sequence is a (the first term) times r (the common ratio) raised to the power of n - 1.
In this case n = 4, since we're looking for the fourth term.
so,
Un = ar^n-1
= ar^4-1
= ar^3
U4 = 10 × 0.5^3
= 10 × 0.125
= 1.25
what is 6+5/7 converted into a mix number
Answers
Answer:
47/7
Step-by-step explanation:
I think the answer is 6 5/7 or 47/4
Answer:
6 5/7
Step-by-step explanation:
Hope this helps!
Best of luck! ♥
Solve for a.
12 =-2a + 6
Answers
Answer:
a=-3
Step-by-step explanation:
First, subtract 6 from both sides
6=-2a
divide -2 from both sides
-3=a
An employee at a shoe store has observed that taller customers have larger shoe sizes than customers who are shorter. She knows that shoe sizes are based on foot length, so she hypothesizes: Compared with shorter people, taller people have longer feet. Look for patterns in the data. Describe any patterns you find.
Answers
Answer:
hello some information related to your question is missing
answer : The pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .
Step-by-step explanation:
From the data given the pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .
if m=2 and b=-5, what is the equation of the line in slope intercept form
Answers
Answer:
y=2x-5
explanation:
y=mx+b
1 Jeremy is driving to a friend's house that is 88 miles away from his home. The scale on Jeremy's map is Inch is equivalent to 8 miles. How far is it on the map 2 from Jeremy's house to his friends house?
4 1/2 inches
3 1/2 inches
5 1/2 inches
9 1/2 inches
Answers
There is a chowder eating contest in a small New England town. The distribution of the amount of chowder consumed is bell-shaped with mean 32 ounces and variance 64 ounces. If two hundred people participated in the contest, find the following.a. The number of people who consumed between 24 and 40 ounces of chowder.b. The number of people who consumed between 16 and 40 ounces of chowder.
Answers
Answer:
Interval ( 24 ; 40 ) has 136 participants
Interval ( 16 ; 40 ) has 163 participants
Step-by-step explanation:
Normal distribution.
As variance is 64 then standard deviation is σ = 8
And mean μ₀ = 32
We can see that μ₀ ± σ is 32 ± 8
The interval ( 32- 8 ; 32+8 ) is ( 24 ; 40 )
By empirical Rule we know that μ₀ ± σ contains 68% of the population then 200*0,68 = 136
The number of participants between 24 and 40 is 136
By symmetry of these 136 half of them are between 32 and 40 ( 136/2 = 68 ) ( between mean and 40 )
Now in the interval ( 16 ; 40 ) we note that 16 is 32 - 16 = 16 or μ₀ - 2σ
And again by empirical rule μ₀ ± 2σ has 95 % of the population that means 200*0.95 = 190 and by symmetry 190/2 95 are between μ₀ - 2σ, therefore
95 people are between μ₀ - 2σ or between ( 16 ; 32 ) and between ( 32 ; 40 ) there are 68 people then
The interval ( 16 ; 40 ) has 95 + 68 = 163 participants
Which sentence from the text best supports the narrator’s view of Paul as a giant of a man?
A.
“Feeding Bunyan’s crews of ravenous loggers was a big job.”
B.
“Paul dealt with the challenge by digging down to find the tops of the tall pine trees and lowering his loggers to chop logs.”
C.
“Driving logs upstream is impossible, but an impossible job never stopped Paul.”
D.
“To his surprise, when he tried to move the logs, he discovered the lake had no outlet to the river.”
Answers
Answer:
The answer is B
Step-by-step explanation:
I did the test and got it right
What are the 4 main types of transformations?
translation
congruence
rotation
reaction
reflection
dilation (aka enlargement)
vertices
Answers
Answer:
The 4 main transformation is a translation, rotation, reflection, dilation.
Step-by-step explanation:
There are four main types of transformations: translation, rotation, reflection, and dilation. These transformations fall into two categories: rigid transformations that do not change the shape or size of the preimage and non-rigid transformations that change the size but not the shape of the preimage.
can somebody help me, major grade and is timed, pre ap geometry
Answers
Step-by-step explanation:
First find the value of Y=> 5y-8=3y+1
=> 5y-3y=1+8
=> 2y=9
=> y=4.5
Second find the value of X=> x+6=4x
=> 6=4x-x
=> 6=3x
=> x=(6/3)
=> x=2
Thus, x=2 and y=4.5 [Option C]
Hope this helps you.
At a pet store, a survey was taken asking how many pets each person had. The
results were: (2,5, 3, 1, 0, 4, 2, 7,0, 2, 7,3). What is the mode?
Answers
Answer:
2
Step-by-step explanation:
We have these numbers: 2, 5, 3, 1, 0, 4, 2, 7, 0, 2, 7, 3
The mode is the most common value. I can see 3 two's in the data set. The mode is 2.
#SpreadTheLove <3
A recipe calls for 1 1/2 cups of flour for 1 dozen of cookies. How much flour is needed for 32 cookies?
Answers
Answer:
4 cups
Step-by-step explanation:
PLS HELP ILL GIVE BRAINLIEST!
Answers
Answer:
C = 55
O = 55
CRA = 64
ORT = 64
T = 61
Answer:
C = 55
O = 55
CRA = 64
ORT = 64
T = 61
Step-by-step explanation:
mega has 3 weter botels and wants to give each of her friends 4 how many will she need
Answers
Answer:
12
Step-by-step explanation:
3 times 4 is 12
Question Help
Suppose you deposited $300 in a savings account 2 years ago. The simple interest rate is 2.9%
The interest that you eamed in those 2 years is $17.40. Which of the following is/are true?
= 2.996
r=17-40 D=300
Answers
Answer:
account 2 years ago. The simple interest rate is 2.9% The interest that you eamed in those 2 years is $17.40. Which of the following is/are true? = 2.996 r=17-40 D= 300.
If one side of a square is increase by 10 units, the area of the rectangle formed is 3 times the area of the square. Find the area of the rectangle.
Answers
Answer:
75 square units
Step-by-step explanation:
(x+10)x=3x^2
x^2+10x=3x^2
10x=2x^2
5x=x^2
x=5
Plugging in 5 into either of the initial equations yields the answer.
Define/explain the symmetric property.
Answers
Step-by-step explanation:
The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .
Amanda received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.27 per pound. After
buying the coffee, she had $36.38 left on her card. How many pounds of coffee did she buy?
Answers
Answer:
She bought 6 pounds of coffee.
Step-by-step explanation:
80-36.38=43.62
so she spent $43.62 on coffee
43.62 divided by 7.27 = 6
Find the mean, median, and mode of the data.
2,4,3 1,5
Answers
Median: 3 (The middle number when the numbers are put in order)
There is no mode (number that occurs the most) because each number only occurs once.
88% of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 72% have an emergency locator, whereas 86% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared.
A) If it has an emergency locator, what is the probability that it will not be discovered?B) If it does not have an emergency locator, what is the probability that it will be discovered?C) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what isthe probability that 7 of them are discovered?
Answers
Answer:
a) [tex]P(D'/L)=0.03[/tex]
b) [tex]P(D/L')=0.7[/tex]
Step-by-step explanation:
From the question we are told that
Probability of discovered [tex]P(D)=0.88[/tex]
Probability of aircraft with locator [tex]P(L/D)=0.72[/tex]
Probability of lost aircraft without locator [tex]P(L'/D')=0.86[/tex]
Generally the probability that aircraft are not discovered is mathematically given as
[tex]P(D')=1-0.88[/tex]
[tex]P(D')=0.12[/tex]
Generally the probability that aircraft with locator are discovered is mathematically given as
[tex]P(L'/D)=1-0.72[/tex]
[tex]P(L'/D)=0.28[/tex]
Generally the Probability of lost aircraft without locator mathematically given as
[tex]P(L/D')=1-0.86[/tex]
[tex]P(L/D')=0.14[/tex]
Generally the Probability of having a locator mathematically given as
[tex]P(L)=P(L/D)*P(D)+P(L/D')*P(D')[/tex]
[tex]P(L)=0.72*0.88+0.14 *0.12[/tex]
[tex]P(L)=0.6504[/tex]
a)Generally the Probability of getting lost even with locator mathematically given as
[tex]P(D'/L)=\frac{P(L/D')(P(D')}{P(L)}[/tex]
[tex]P(D'/L)=\frac{0.14*0.12}{0.6504}[/tex]
[tex]P(D'/L)=0.0258302583[/tex]
[tex]P(D'/L)=0.03[/tex]
b)Generally the Probability of getting lost even with locator mathematically given as
[tex]P(D/L')=\frac{P(L'/D)(P(D)}{P(L')}[/tex]
[tex]P(D/L')=\frac{0.28*0.88}{1-0.6504}[/tex]
[tex]P(D/L')=0.704805492[/tex]
[tex]P(D/L')=0.7[/tex]
Please help! Doing online because of pandemic!
For line b, d, and e, line d is parallel to line e, and m∠1 = 81°.
Part A: In complete sentences, explain the relationships between all pairs of special angles 1, 2, 3, and 4 created by transversal line b and parallel lines d and e.
Part B: For the given diagram, use the measure of the special angle relationships created by transversal line b and parallel lines d and e to find the measures of ∠2, ∠3, and ∠4.
Answers
Answer:
ART A: Angles 1 and 4 are Corresponding Angles. Angles 1 and 3 are Vertical Angles. Angles 1 and 2 are Adjacent Supplementary Angles. Angles 2 and 3 are also Adjacent Supplementary Angles. Angles 3 and 4 are Opposite Interior Angles.
PART B:
<2=99 °
<3=81 °
<4=99 °
Step-by-step explanation:
PART A: Angles 1 and 4 are Corresponding Angles. Angles 1 and 3 are Vertical Angles. Angles 1 and 2 are Adjacent Supplementary Angles. Angles 2 and 3 are also Adjacent Supplementary Angles. Angles 3 and 4 are Opposite Interior Angles.
PART B:
<2=99 °
<3=81 °
<4=99 °
Joel is looking at payment plans for the gym.
Plan A: $25 per month plus $145 to start
Plan B: $50 per month
How many months would it take for Plan A to be cheaper than Plan B?
Answers
Answer:
5 months
Step-by-step explanation:
plan a: $145 +$25x ........ $145 + ($25 x 4)= $245
plan b: $50x.......... $50 x 5= $250
Find the area of the octagon.
The area is _
Answers
What is equivalent to 3;4
Answers
Answer:
6;8
3;4 that the lowest that it can go. the equivalent is 6;8 but if you want to change it into decimal form you can divide by two which is 1.5;2 but the answer is 6;8 because 3;4 is already in it's lowest form, or is already simplified to it's maximum extent.