Answer and Step-by-step explanation:
4. We are finding line AC.
AB is congruent to BC because the angles at the top are both 30 because of angle bisector. BD is congruent to BD, so triangles are congruent by SAS theorem. That means AB is congruent to BC by CPCTC (Congruent Parts of Congruent Triangles are Congruent).
With that being said, we can equal the expressions together.
-x + 25 = 3(2x - 8)
-x + 25 = 6x - 24
49 = 7x
7 = x
-(7) + 25 = 18
3(2(7) - 8) = 3(14 - 8) = 3(6) = 18
18 + 18 = 36
AC = 36
6. We are finding measure of angle UTW.
We have another angle bisector, so that side is equal to itself (TV ≅ TV)
We have UV and VW having the same length, so those are congruent.
Since this is a right triangle, these triangles are congruent by the HL (Hypotenuse-Leg) Theorem.
So, now we can equal the angles together.
2x + 3 = 5x - 24
27 = 3x
9 = x
2(9) + 3 = 18 + 3 = 21
5(9) - 24 = 45 - 24 = 21
21 + 21 = 42
m∠UTW = 42
#teamtrees #PAW (Plant And Water)
(Sorry for the late response, this took some time).
first come first served brainiest
Answer:
5 yard
Step-by-step explanation:
If these four countries trade only with each other, what is the difference between the highest balance of trade and the lowest
balance of trade within this group?
a €4,378,000,000
€2,797,000,000
€1,928,000,000
d €738,000,000
Answer:
€4,378,000,000
Step-by-step explanation: just took the test :)
Answer:
A
Step-by-step explanation:
Took the test
HELP HAVING A BAD DAY
Roger can finish his math homework in 6 hours. Trish can finish the same homework in 5 hours. What part of the homework will Roger and Trish finish if they work together for x hours?
I WILL REWARD BRAINLIEST FOR THE CORRECT ANSWER
Answer:
Rodger and Trish will finish the homework together for 30 hours. x=30
Step-by-step explanation:
This is a very simple problem. Its an lcm problem (lcm means lowest common multiple)
To find the lcm you must find the common number the two numbers 5 and 6 share which is 30. Hope that helps, sorry your having a bad day. (i am too bad days suck)
6 5
12 10
18 15
24 20
30 25
30
And the file the other person shows never work, they are bots (robots) who waste your time answering your questions and waste your brainly points. ugh it gets to annoying.
Roger and Trish can finish 11x/30 of the homework if they work together for x hours.
What is Expression?An expression is combination of variables, numbers and operators.
Let the total amount of work in the math homework is 1.
In one hour, Roger can finish 1/6 of the work, and Trish can finish 1/5 of the work. So, working together for one hour, they can finish:
(1/6) + (1/5)
= (5/30) + (6/30)
= 11/30 of the work.
If they work together for x hours, then they will finish:
x × (11/30) = 11x/30
of the work in x hours.
Therefore, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ3
pls answer i’m doing a test rn
Choose the real-world situation that can be represented by the inequality:
x < 40
a.James is allowed at most 40 minutes of screen time per day.
b. The temperature in the fridge needs to be below 40°F.
C. It will take at least 40 minutes to drive to the basketball game.
d. Ava must spend more than 40 minutes every day practicing piano.
Answer:
B.
Step-by-step explanation:
B. is the only anewer choice that doesn't have at least and that would have x on the left side of the inequality
A. would have the < with an equal sign under it
C. would have the > with an equal sign under it
D. would have the > sign
hope this helps <3
Are the figures congruent? Explain.
which graph represents the function
Please help I have no idea how to answer this question
Answer:
n = 3
Step-by-step explanation:
plug in 3 for n in the equation:
Numerator: n + 1 = 3 + 1 = 4
Denominator: 2^n = 2^3 = 2 * 2 * 2 = 4 * 2 = 8
Simplify the fraction. Divide common factors from both the numerator and denominator:
(4/8)/(4/4) = 1/2
1/2 = 1/2 ∴ n = 3
~
6a-4b when a=5 and b=3
Answer:
18
Step-by-step explanation:
Answer:
Use substitution to receive: 18
Step-by-step explanation:
6a - 4b when a = 5 and b = 3
6(5) - 4(3)
30 - 12 = 18
A girl walks 5,000 meters in one hour. If the girl walks at the same speed for 4 hours, how many kilometers will she have walked?
How much thermal energy is released when 269.8 grams of tungsten, with a specific heat of 0.134 J/g°C, cool to 20.56°C from 212.7°C?
What is the correct i need help
Plz
Which expression is equivalent to -6(3x-2/3)
-2x+9
-3x-6 2/3
-18x+12
-18x+4
Answer:
-18x+4
Step-by-step explanation:
you simply distribut the negative 6:
so -6 times 3x would be -18x
and -6 times -2/3 would be positive 12/3 or 4
What’s the answer to this?
Answer:
<D is congruent to <B
Step-by-step explanation:
They both have the 3 lines indicated on them
Solve for v. v - 4.6=8.96
Answer:
v=13.56
Step-by-step explanation:
v - 4.6 = 8.96
v = 8.96 + 4.6
v = 13.56
Answer:
V=13.56
Step-by-step explanation:
hope it helps
have a great day
8
Martiza is measuring the effect a fertilizer on a field of soybeans has on the local butterfly population.
Based on her data collection, the population of butterflies in the field can be modeled by the function P(d) = 250(0.89)" where d is the number of days the
fertilizer has been applied.
Which statement best describes how the population of butterflies is changing?
>
It is increasing by 89% for each application.
B It is decreasing by 89% for each application
It is increasing by 11% for each application.
It is decreasing by 11% for each application
O 09:10
It is increasing by 11% for each application.
A right triangle has one leg of length y and hypotenuse of length x. What is the length of the other leg of this triangle
a x+y−−−−√
b x2+y2−−−−−−√
c x−y−−−−√
d x2−y2−−−−−−√
Answer:
Step-by-step explanation:
Giorgio is randomly drawing a numbered tile from a bag that only contains the numbers {3, 4, 5, 6, 7, 8, 9, 10, 11} What is the probability of Giorgio not drawing a tile with an even number?
Answer:
5/9
Step-by-step explanation:
total number of odd numbers / total numbers in the bag = 5/9
A countrys population in 1990 was 145 million. In 1998 it was 151 million. Estimate the population in 2015 using the exponential growth formula. Round your answer to the nearest million
Answer:
The population in 2015 will be 165 million.
Step-by-step explanation:
The exponential growth formula is given by:
[tex] f(t) = a(1 + r)^{\Delta t} [/tex]
Where:
a: is the initial population
r: is the rate of increase
Δt: is the time
With the initial information we can find the rate:
[tex] 151 = 145(1 + r)^{1998-1990} [/tex]
Using logarithm:
[tex] ln(151) = ln(145) + 8[ln(1 + r)] [/tex]
[tex] ln(1 + r) = \frac{ln(151) - ln(145)}{8} [/tex]
[tex] ln(1 + r) = 5.0683 \cdot 10^{-3} [/tex]
Using exponential:
[tex] e^{ln(1 + r)} = e^{5.0683 \cdot 10^{-3}} [/tex]
[tex] r = 5.081 \cdot 10^{-3} [/tex]
Now, we can find the estimated population in 2015:
[tex] f(t) = 151(1 + 5.081 \cdot 10^{-3})^{2015-1998} [/tex]
[tex] f(t) = 165 [/tex]
Therefore, the population in 2015 will be 165 million.
I hope it helps you!
Alex graphed two lines in order to find the
solution to a given system of equations.
What is the solution?
Answer:
(-3,-8)
....................................................................................................................................
hope it helped
Decrease 20g by 12.5%
Step-by-step explanation:
please follow me
hloooo
Answer:
17.5 g
Step-by-step explanation:
20 g is 100% then a decrease of 12.5% is
100% - 12.5% = 87.5% = [tex]\frac{87.5}{100}[/tex] = 0.875 , then
20g × 0.875 = 17.5 g
What is the equation of the line that goes through the points (4,-1) and
(2,3)?
Answer:
y = -2x + 7
Explanation:
y = mx + b
m = slope
b = y-intercept
y = a given y coordinate
x = a corresponding x coordinate
First, we need to find the slope (m).
1) (4, -1)
2) (2/3)
m = slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{3-(-1)}{2-4}[/tex] = [tex]\frac{4}{-2}[/tex] = -2
plug in the values to the equation y = mx + b
-1 = -2(4) + b
-1 = -8 + b
7 = b
now, we can substitute in m and b into the equation y = mx + b
y = -2x + 7
Complete the statement to describe the expression ab + cdab+cda, b, plus, c, d. The expression consists of terms, and each term contains factors.
Answer:
The expression consists of two terms, and each term contains two factors.
Step-by-step explanation:
Given - Complete the statement to describe the expression ab + cd
To find - The expression consists of ....... terms, and each term contains .......factors.
Proof -
The given expression has two terms
Term I - ab
Term II - cd
Now,
Each term contains two factors
In Term I - one factor is a and another factor is b
In Term II - one factor is c and another factor is d
Definition used -
A term is a single mathematical expression.It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.
A Factor is Something which is multiplied by something else.A factor can be a number, variable, term, or a longer expression.
What is the coefficient of y in the expression 4x + y + 8 A(1) B(0) C(2) D(3)
Step-by-step explanation:
the the coefficient of y in the above expression is A(1)
Can someone help me please
I will give brainiest
don’t need to show work
Answer:
I believe x=2
Step-by-step explanation:
3x-6=-4x+8
7x=14
x=2
Veronica is an English tutor. She charges $60 for each tutoring session plus $0.75 per mile that she has to drive to and from the session. Write an equation to represent this situation. Explain how you got your equation.
Answer:[tex]60+0.75x[/tex]
Step-by-step explanation:
Given
Veronica charges $60 for each tutoring session
Also, there is an additional charge of $0.75 per mile
Suppose she drive x miles and the total cost is represented by C
the additional cost of driving is [tex]0.75\times x=0.75x[/tex]
[tex]\therefore[/tex] The total cost for the session will be the sum of fixed cost and variable driving cost
[tex]\Rightarrow C=60+0.75x[/tex]
Find the value of each variable.
Answer:
a. a×3= -30
a= -30-3
a= 33
I need help!! 100 points! Please don't scam, I will report and take away these points!
Answer:
A angle 7 is 6 inches
B angle 8 is 7 inches and 5 inches wide
C angle 3 is an obtuse angle, 6 inches and 9 inches wide
Please
Please
Please
Answer:
Step-by-step explanation:
∠BEF = ∠CFE {Alternate interior angles}
5x - 10 = 4x + 20 {Subtract 4x from both sides}
5x - 4x - 10 = 20
x - 10 = 20 {Add 10 to both sides}
x = 20 +10
x = 30°
Tracy bought a new silk shirt. The shirt is on sale for 20% off the original price. If the original price was $56, what is the sales price of the shirt.
Group of answer choices
$11.20
$48.80
$44.80
$38.80
Answer:
$44.80
Step-by-step explanation:
$56 * 0.2 (%20) = $11.20
$56 - $11.20 = $44.80
In their last game, the New England Patriots
scored 9 points in the first half. In the second
half, they scored twice the amount of points in the
first half. What is the ratio of points scored in the
second half to the total number of points scored?
Answer:
1:3
Step-by-step explanation:
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