Answers
Answer:
m < S = 40°
Step-by-step explanation:
According to the Triangle Exterior Angle Postulate, the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
The exterior angle is m < R = 140°. In reference to the Triangle Exterior Angle Postulate, the sum of the measures of < T and < S must equal 140°.
Given m < T = (8x + 4)°
m < S = (3x + 4)°
We can set up the following equality statement to solve for the value of x:
m < R = m < T + m < S
140° = (8x + 4)° + (3x + 4)°
Combine like terms:
140° = 11x + 8
Subtract 8 from both sides:
140° - 8 = 11x + 8 - 8
132° = 11x
Divide both sides by 11:
132°/11 = 11x/11
12 = x
Substitute the value of x into the equality statement to verify whether it is the correct value:
140° = (8x + 4)° + (3x + 4)°
140° = [8(12) + 4]° + [3(12) + 4]°
140° = (96 + 4)° + (36 + 4)°
140° = 100° + 40°
140° = 140° (True statement. Therefore, the correct value for x = 12).
Therefore, m < S = (3x + 4)° = [3(12) + 4]° = 40°
Please mark my answers as the Brainliest if you find this helpful :)
Related Questions
PLEASE HELP I WILL GIVE YOU BRAINLIEST AND 60 POINTS
Triangle PQR is transformed to similar triangle P’Q’R’:
What is the scale Factor dilation
A1/2
B1/3
C1/4
D1/5
Answers
Someone help me PLEASE it’s DUE
Answers
Answer:
20 inches
Step-by-step explanation:
When the instructions say a triangle is similar, it basically means they are exactly the same unless otherwise specified.
With this, we just need to find the ratio.
We can see that DE is 6 inches while AB is 18 inches.
This means that the ratio between DEC and ABC is 1:3, respectively.
So if AC is 30, that means DC should be 10.
All we have to do now is subtract DC from AC to find AD
30 - 10 = 20
So AD is 20 inches
I'm pretty sure there is a more mathematical approach to this but this is good enough to solve any problem like this.
Answer:
20 inches
Step-by-step explanation:
Set up a proportion
BA/AC = ED/DC
You are given that BA = 18, AC = 30, ED = 6
18/30=6/
18/6 = 3
30/3 = 10 = DC
Sense DC = 10
AC-DC
30-10=20
Which equation represents a proportional relationship?
Answers
Answer:
I believe that B is the answer
PLEASE HELP!!!!!!
WILL MARK BRAINLIEST!!!!
Answers
Answer:
1212.2323-122343.132112+1223.22342+2434+324323.000-34432
= 0.8488747544665746354244464
Step-by-step explanation:
Which of the following expressions are equivalent to −3.5(2 − 3n) − 2.5n?
A. −7 − 8n
B. −7 + 8n
C. −7 − 13n
D. −7 − n(10.5 − 2.5)
E. −7 + n(10.5 − 2.5)
Answers
Solve pls brainliest
Answers
Answer:
6.1, 6.107, 6.17, 6.1722
Step-by-step explanation:
Hope this helps! :)
Solye for x.
5(x+1)
Answers
Answer:
x =1
Step-by-step explanation:
10. Insert three numbers between 24 and 44 to give five numbers in an arithmetic progression. Consider: a = 24 and 44 as the last term. Calculate the difference (d) to insert the three numbers.
Answers
Answer:
29,34,39
Step-by-step explanation:
t1=24
tn=t1+(n-1)d
t5=24+(5-1)d
t5=44
44-24=20
(5-1)*d=20
d=5
t5=24+5(5-1)=44
so sub it for 2,3,4
t2=24+5(2-1)=29
t3=24+5(3-1)=34
t4=24+5(4-1)=39
A scuba diver descends in the water at a rate of 20 1/2 feet per minute for 2.8 minutes. He immediately changes course when he sees a large fish and ascends at a rate of 25 feet per minute for 2 minutes. What is the scuba diver's position relative to sea level after the 4.8 minutes?
Answers
Answer:
7.4 feet below sea levelStep-by-step explanation:
Assumed the starting point is the sea level 0.
After 2.8 min the diver is at position:
20 1/2 * 2.8 = 20.5 * 2.8 = 57.4 feet below sea levelThe position change after next 2 minutes:
25*2 = 50 feetThe position of the diver after 4.8 min:
57.4 - 50 = 7.4 feet below sea levelAnswer:
I tried to but they picture on but it did not work for some reason but the answer is -7.4
Step-by-step explanation:
on a number line, where would 6/10 be located? choose all the answers that make a true statement.
Answers
Answer:
The answer is B and D
Step-by-step explanation:
If you mark the last line as 5 and the first line (placement) as 0.5 the you'l, see that 6/10 falls on 3/5. And 6/10 is on the left of 8/10.
Is this relation a function? Justify your answer.
Answers
Answer:
C
Step-by-step explanation:
Use the vertical line test with your pencil. Move you pencil across the graph and if two points are under your pencil then it is not a function.
Answer:
C
Step-by-step explanation:
It isn't a function because the x-values repeat at points (2, 11) and (2, 2)
Quickkk?!!
For each equation, determine whether it is linear.
Answers
Answer:
a. Linear
b. Linear
c. Non-linear
d. Linear
Answer:
a. Linear
b. Linear
c. Not Linear
d. Linear
write the equation of a line parallel to the line 2x-3y=6 that passes through (-4,-1)
Answers
Answer:
2x+3y=6 is -2/3
A line passing through 0,4 does have the same slope Because they are both parallel. Which is from a slope-intercept form. This is needed in an equation of a line.
Y-y1 =m(x-1) Y-4= -2/3(x-0) 3Y-12 = -2x 3Y+2x = 12
1600 in expanded form
Answers
Answer:
In expanded form, the number 1600 can be shown as
1000
+ 600
+ 00
+ 0
Solve for X
Marking you the brainliest provided you got it right and with step by step explanation
Answers
Step-by-step explanation:
Value of x:
x = 180 - 140 = 40 (linear pair)Value of y:
180 - 40 + 180 - 28 = 292 (sum of supplementary angles with x and 28)a scale drawing of Lafayette square is 8 inches long and 4 inches wide. The actual park is 160 feet wide. What is the actual area of the park, in square yards?
Answers
Answer:
Lafayette Square is about 5688.89 square yards
Step-by-step explanation:
The scale factor( ratio between the two sides) is 8 inches long to 4 inches wide or 2 to 1; 2 inches to one 1
Given the actual park is 160 feet wide ( need this measurement in inches).
so the actual part is 160 · 12 = 1920 inches wide.
Using the ratio long/ wide = long/ wide 2/1 = ?/1920. The part is 3840 inches long.
Answer need to be in yards: divide by 36 because 36 inches = 1 yard.
Long = 3840/36 = 320/3 yards
wide = 1920/36 = 160/3 yards
Actual area = L · W
= (320/3)·(160/3)
= 51200/9
= 5688.89 square yards
Which of the expressions is equivalent to the expression (117.50-83.50)+6(22.50+3)
A. 34+138
B. 40(25.50)
C. 28(25.50)
D. 34+6(25.50)
Answers
Answer:the answrr would be A i got a 100 on my testtttt
Step-by-step explanation:
hello there
looking for help here. ill give brainliest if able to.
Answers
Answer:
5/6
Step-by-step explanation:
[tex]\frac{2}{3} +\frac{1}{6}[/tex] [tex]\frac{2}{3} = \frac{4}{6}[/tex] [tex]\frac{4}{6} + \frac{1}{6}[/tex] [tex]\frac{4+1}{6}[/tex] [tex]\frac{5}{6}[/tex]Therefore, the answer is 5/6! I hope this helped you.
2.) Add numerators only: 4/6+1/6= 5/6.
Your answer is 5/6.
HELP! click on image, but I will give Brainly + 24 pts !!
Question : The total cost (in dollars) for a company to manufacture and sell x items per week is C(x) = 70x + 300. If the revenue brought in by selling all x items is R(x) = 90x - 0.03x^2 find the weekly profit. How much profit will be made by producing and selling 70 items each week? Hint : P(x) = R(x) - C(x)
P(x) = ______
P(70) = $ _______
Answers
Answer:
p(x)=20x+300+0.03x^2
p(70)=1553 dollars
Find the product. Estimate to check that yo
474
X 18
+Multiply by the ones.
+Multiply by the tens.
Add the partial products.
+
Answers
9514 1404 393
Answer:
8532
Step-by-step explanation:
See the attachment for the partial products and their sum.
The estimated value is about 10% less than 20·475 ≈ 9500 -950 = 8550. This indicates our answer of 8532 is probably correct.
Does anyone know how to do this problem? If so please help so I could get it? Not only the answer but like the formula on how you get it step by step
Answers
0.25kg x1000g= 250g
58,300 meters to kilometers. Round to the appropriate number of significant digits.
Answers
Answer:
58.3km
Step-by-step explanation:
58300 ÷ 1000 = 58.3km
Given:-
58,300 metres
Converting to kilometers, let's do by:-
[tex] \frac{58300 \: m}{1} \times \frac{1}{1000} km[/tex]
[tex] \frac{58300}{1000} [/tex]
[tex] => 58.3 \: km[/tex]
Therefore, in kilometers, 58300 m = 58.3 km.
✍️ By Benjemin ☺️
If Jacob buys 6 jalapeño plants, what is the area of the garden'
Answers
Answer:
what is the area that each plant takes up exactly?
please let me know
find the value using suitable properties 1568x84-1568x84
Answers
0 zeroMark as brainlist ❤️❤️
The solution to 1568 × 184 - 1568 × 84 using suitable properties is; 156800
Distributive PropertiesWe want to solve;
1568 × 184 - 1568 × 84
Now, to solve this, we need to understand distributive property which is;
a(b + c) = ab + ac
Thus, applying distributive property to our question, we will have;
1568(184 - 84)
>> 1568(100)
>> 156800
In conclusion, the solution is 156800
Read more about distributive properties at; https://brainly.com/question/2807928
HELP ME PLEASE !!!! VERY URGENT!!
Answers
180 - 73 = 107
since the two unknown angle only have a difference of 11 degrees.
107 -> 47 & 59
x = 59 degrees
(x - 11) = 47 degrees
Solve each system of equations by using elimination. 2x + y = 2 3x – 2y = –11
Answers
Answer:
I'm pretty sure the answer is {x, y} = {-7, -16}
Step-by-step explanation:
2x - y = 2
[other explanation] 3x - 2y = 11
Hope this helps
4g + 8cm squared
.......................................................................................................................................................................
Answers
Answer:
I think the answer is 25
Step-by-step explanation:
which expression is equal to 2(8n)^4?
Answers
Step-by-step explanation:
2(8n)⁴
=2•8n•8n•8n•8n
Hope it helps ya
2 · 8n · 8n · 8n · 8n
Step-by-step explanation:
2(8n)⁴
= 2 · 8n · 8n · 8n · 8n
f
(
x
)
=
−
2
x
2
+
2
x
+
4
Answers
Answer:
x=0
Step-by-step explanation:
f(x)=−2x2+2x+4
0=-4+2x+4
x=0
You've poured some 8% (by mass) alcohol solution and some 12% alcohol solution into a large glass mixing container. Now you have 760
grams of 10% alcohol solution. How many grams of 8% solution and how many grams of 12% solution did you pour into the mixing container?
Answers
Step-by-step explanation:
you mixed an 8% and a 12% solution together.
so, you get (8%×mass1 + 12%×mass2)/((mass1 + mass2)/2) as resulting % of the combined solution.
since the result is 10%, which is precisely the arithmetic middle
(8 + 12)/2
we see that mass1 = mass2.
in other words : the same quantity (mass) of the 8% solution and the 12% solution was mixed together.
so, 760g = 2×mass
=>
mass = 380g
380g of the 8% solution and 380g of the 12% solution were mixed together.