Answers
Answer:
x = 16
Step-by-step explanation:
Use that the addition of all internal angles of a triangle must add up to 180, and the fact that the two given triangles are similar:
51 + 65 + 4 x = 180
combine and solve for "x"
116 + 4 x = 180
4 x = 180 - 116
4 x = 64
x = 64 / 4
x = 16
Answer:
x = 16
Step-by-step explanation:
A triangle is 180 degrees. Since two of the angles are congruent to each other, the third angle must be congruent as well. This means that the third measure for both triangles is 4x. Knowing all of this, we can solve for x:
65 + 51 + 4x = 180
116 + 4x = 180
4x = 64
x = 16
Related Questions
If a vector that is 1cm long represents a velocity of 10 km / h, what velocity does a vector 2 m long drawn to the same scale represent?
Answers
Answer:
V = 2000 km/h
Step-by-step explanation:
Recall that you need to follow proportionality here, and the ratio involved is: 10 km / 1 cm
then if the vector is 2 m long, then it is 200 cm long (converting it from meters to the same units as our scale which is in cm)
then we have to solve the following proportion to obtain the velocity "V":
10 km/h / 1 cm = V / 200 cm
multiply both sides by 200 to solve for V:
V = 2000 km/h
Karina pays $2.64 for pencil erasers. The erasers cost 0.11 each. how many erasers did she buy?
Answers
Answer:
She bought 24 erasers
Step-by-step explanation:
$2.64 ÷0.11=24
Answer: Karina bought 24 erasers.
Step-by-step explanation:
$2.64 ÷ 0.11 = 24 erasers
A random survey of 30 students found that 17 played a musical instrument. If the school has 450 students, predict how many do not play an instrument.
Answers
Given:
A random survey of 30 students found that 17 played a musical instrument.
Total number of students = 450
To find:
Estimated number of students who do not play an instruments.
Solution:
A random survey of 30 students found that 17 played a musical instrument.
Let E be the event that student play an instrument.
So, probability that a student plays an instrument is
[tex]P(E)=\dfrac{17}{30}[/tex]
Probability that a student do not play an instrument is
[tex]P(E')=1-P(E)[/tex]
[tex]=1-\dfrac{17}{30}[/tex]
[tex]=\dfrac{13}{30}[/tex]
Now, number of students who do not play an instruments is
[tex]450\times P(E')=450\times \dfrac{13}{30}[/tex]
[tex]450\times P(E')=195[/tex]
Therefore, 195 students do not play an instrument.
You are given $90 for lunches for a month. You spend some of the money the
first day and you spend $23 the second day. If you have $59 for the rest of the
month to spend on lunch, how much did you spend the first day?
Answers
Answer: 8 dollars
Step-by
solve (x-4)^2=5.
Answers:
A. x=9 and x=1
B. x=5+(square root)4
C. x=-4+(square root)5
D. x=4+(square root)5
Answers
Answer:
don't dout yourself
Step-by-step explanation:
never give up thanks for the free points
What is the solution to the system of equations? O (-6,-) O (-2, 6) O (6,2) O (-2,-6)
Answers
Answer:
Option (1)
Step-by-step explanation:
System of equations is represented by two straight lines on a graph.
And solution of the system of equations is the point of intersection of these lines.
From the graph attached, two straight lines represent the system of equations.
And the point of intersection of these lines is the solution.
Therefore, solution of the system of equations will be (-6, -2).
Option (1) will be the correct option.
Answer:
Step-by-step explanation:
It is A on edge
What percent of $560 is $224?
Answers
560:224*100 =
(560*100):224 =
56000:224 = 250
Answer:
Your answer is %40
True or False
The graph of y=2x is similar but also different from the graph
of y=2x−7.
Group of answer choices
True
False
Explain the reasoning of your answer above.
PLEASE HURRY!!!
Answers
Answer:
false bc the y intercept is in a different place which in return would alter the entire equation
Answer:
False. This is because -7 is not apart of the given equation, thus the equation is not similar. (rule of slope intercepts)
In late June 2012, Survey USA published results of a survey stating that 55% of the 579 randomly sampled Kansas residents planned to set off fireworks on July 4th. Determine the margin of error for the 55% point estimate using a 95% confidence level. The margin of error is: _____% (please round to the nearest percent)
Answers
Answer:
The Margin of Error E [tex]\simeq[/tex] 4.1 %
Step-by-step explanation:
Given that:
The sample size = 579
The sample proportion [tex]\hat p = 55\%[/tex] = 0.55
From the confidence interval of 95%
The level of significance ∝ = 1 - C.I = 1 - 0.95 = 0.05
The critical value of [tex]Z_{\alpha/2 } = Z_{0.025} = 1.96[/tex]
Thus;
The Margin of Error E = [tex]Z_{\alpha/2 } \times \sqrt{{\dfrac {\hat p ( 1 - \hat p }{n}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.55 ( 1 - 0.55) }{579}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.55 ( 0.45 )}{579}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.2475}{579}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{4.2746114 \times 10^{-4}}[/tex]
The Margin of Error E = [tex]1.96 \times .020675[/tex]
The Margin of Error E = 0.040523
The Margin of Error E [tex]\simeq[/tex] 0.041
The Margin of Error E [tex]\simeq[/tex] 4.1%
CAN SOMEONE PLEASE HELP ME ON THE TOP ONE !!!!!!
Answers
slope-intercept form y=-3x+18
standard form 3x+y=18
slope is -3
y intercept is (0,18)
Answer:
[tex]the \: slope \: is \to \boxed{-3} \\ the \: y \: intercept \to \boxed{18}[/tex]
Step-by-step explanation:
[tex]the \: solpe \: \boxed{m} = \frac{9 -1 2}{3 - 2} = -3 \\ y = mx + c \\ 12 = (-3)(2) + c \\ c = 12 + 6 = 18[/tex]
4.21 in expanded form
Answers
Answer:
4.21
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
4.21 =
4
+ 0.2
+ 0.01
Expanded Factors Form:
4.21 =
4 × 1
+ 2 × 0.1
+ 1 × 0.01
Expanded Exponential Form:
4.21 =
4 × 100
+ 2 × 10-1
+ 1 × 10-2
Word Form:
4.21 =
four and twenty-one hundredths
Step-by-step explanation:
RT = ___
RS = RU...Reason?
RT = ___ and Reason?
RST = RUT...Reason?
Answers
Answer:
okay i will answer but i dont see the question
Step-by-step explanation:
A homeowner has $360 to spend on building a fence around a rectangular garden. Three sides of the fence will be constructed with wire fencing at a cost of $2 per foot. The fourth side is to be constructed with wood fencing at a cost of $6 per foot. Find the dimensions of the rectangle that will maximize the area of the rectangle.
Answers
Answer:
The width is 22.5 feet and the length 45 feet.
Step-by-step explanation:
Let l represent the length of the rectangle and w represent the width of the rectangle. The cost of the fence (C) is:
C = 2l + 2w + 2l + 6w
C = 4l + 8w
360 = 4l + 8w
360 = 4(l + 2w)
90 = l + 2w
l = 90 - 2w
Area (A) of rectangle = length * width
A = l * w
Put l = 90 - 2w
A = (90 - 2w)w
A = 90w - 2w²
The maximum area is at A' = 0, hence:
Differentiating gives:
A' = 90 - 4w
Put A' = 0
0 = 90 - 4w
4w = 90
w = 22.5 feet
l = 90 - 2w = 90 - 2(22.5) = 45 feet
Hence the width is 22.5 feet and the length 45 feet.
Convert 70°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
C=-(F-32)
9
F=-C +32
5
70 °F =
Х
?
Answers
Answer:
C=(F-32)×5/9
C=(70-32)×5/9
C=38×5/9
C=21.1111
C=21°C
brainliest plzzzzzzzzzzzzzzzzzz To the nearest litre, how much gasoline can
you buy with $20.00 if the price for gas is
87.5¢/L?
how is this done?
cany someone please help
Answers
Answer:
22.86 liters
Step-by-step explanation: thats the rounded up answer the full answer is 22.857142857142858
Given h(x) = 2x+3, find x when h(x) = 13.
a) 8
b) 29
c) 18
d) 5
Answers
..............
ANSWER PLS OR NOTHING WILL HAPPEN
Answers
Answer: 8
Step-by-step explanation:
Answer:
[tex]( - 4)( - 2) = \boxed{8}[/tex]
Simplify.
y = (x + 1)^2 - ____
Answers
Answer:
2
Step-by-step explanation:
on edg 2020 lol
Answer:
the person above is correct
Step-by-step explanation:
i got it right on edge
Put brackets in the expression to make the following true. 4 - 7 - 8 + 6 = -17
Answers
If a polynomial has four terms, 3x3 + 5x + 6x2 + 10, which factoring method can be considered? perfect-square trinomial difference of squares factor by grouping sum of cubes
Answers
Answer:
c
Step-by-step explanation:
just took the quiz
Answer:
The answer is C) factor by grouping
Step-by-step explanation:
Edge 2020
Question 1:
S = {0,1}
Is Set S closed under addition?
Why or why not?
Answers
9514 1404 393
Answer:
no; 1+1=2, a number not in the set
Step-by-step explanation:
A set is closed under addition if the addition of any two members of the set results in a member of the set.
0 + 0 = 0 . . . in the set
0 + 1 = 1 . . . in the set
1 + 0 = 1 . . . in the set
1 + 1 = 2 . . . not in the set. The set is not closed under addition.
Helpppppppp pleaseeeee
Answers
Answer:
108 cm^2
Step-by-step explanation:
A= 1/2 b×h
so
1/2 12×18
Luke likes running. He runs 2 1⁄2 miles every 1⁄2 hour. Complete the table to find out how far he runs in each time interval. Which one shows his unit rate (miles per hour)?
Answers
Add 2 and 1/2 each 1/2 an hour
help me answer, please!
Answers
Answer:
Step-by-step explanation:
4). Domain: ( - ∞ , ∞ )
Range: [ - 4 , ∞ )
5). Domain: ( - ∞ , ∞ )
Range: ( - ∞ , ∞ )
Which ordered pairs are solutions to the equation 5x+12y=15?
Answers
• (0,5/4)
• (1,5/6)
• (2,5/12)
Hope this helps!
shasha worked in the garden for 3 hours and 40 minutes. she started at 8:30am. at what time did she stop?
Answers
Answer:
Sasha stopped working at 12:10 PM
Step-by-step Explanation
8:30 + 3 hours and 40 minutes = 12:10 PM
Mark as brainliest if it's right!
Answer:
12:10 p.m
Step-by-step explanation:
3 hours from 8:30 is 11:30 a.m.
Now we add 30 minutes to 11:30 and you get 12:00
Add the remaining 10 minutes and you get 12:10 p.m
I hope this helped, please mark Brainliest, thank you!
In ΔGHI, the measure of ∠I=90°, the measure of HI=47 Feet, and IG = 93 feet. Find the length of ∠G to the nearest degree
Answers
Answer:
27.0
Step-by-step explanation:
Tan G= opposite/adjacent=47/93
Tan G=47/93
G=tan ^-1(47/93)
G=26.811~26.8 degree
G=26.811 and/or 26.8
Write an expression to model the following situation: A submarine was 32 m below sea level. It descended 28 more meters.
What is its new position below sea level?
32 + 28
32 – 28
–32 + 28
–32 – 28
Answers
Simplify
114
11
1
1112
01
114
0 114
0 11 12
Answers
A fox leaves its den and travels 725 yards northeast, then 950 yards west. How far, in yards is the fox from its den
Answers
Answer:
1,675
Step-by-step explanation:
add it
Using Pythagoras, the distance of the fox from its den would be 533.26 yards
Hypotenus = 900 yards Adjacent = 725 yards Distance from den = oppositeOpposite = √hypotenus² - adjacent²
Distance = √(900)² - (725)²
Distance = √810000 - 525625
Distance = √284375
Distance = 533.26 yards
Therefore, the fox is 533.26 yards from his den.
Learn more : Opposite = √hypotenus² - adjacent²