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Work Shown:
A+B+C = 180 ..... three angles of any triangle add to 180
(2x+10)+(x)+(2x-30) = 180
5x-20 = 180
5x = 180+20 .... adding 20 to both sides
5x = 200
x = 200/5 ... dividing both sides by 5
x = 40
This is the measure of angle B
We can stop here.
If you need to know the values of the other angles, then,
angle A = 2x+10 = 2*40+10 = 90angle C = 2x-30 = 2*40-30 = 50Then note how A+B+C = 90+40+50 = 90+90 = 180 which helps confirm our answer.
A public swimming pool that holds 45,000 gallons of water is going to be drained for maintenance at a rate of 100 gallons per minute. The amount of water, w (in gallons), in the pool after t minutes is given by the function w = 45,000 – 100t. How many minutes will it take to empty the pool?
Answer:
450 minutes
Step-by-step explanation:
Given
w = 45000 - 100t
Required
Determine how long it'll take to empty the pool
Being empty means there's no water in the pool.
So, we have to set w to 0 to get the value of t
i.e w = 0
Substitute 0 for w in w = 45000 - 100t
0 = 45000 - 100t
Collect Like Terms
100t = 45000
Divide through by 100.
t = 450
Hence, it'll take 450 minutes to empty the pool
Which theorem shows that △ABC ≅ △DEF?
There are two triangles, triangle ABC and triangle DEF. Side AB is congruent to side DE, side AC is congruent to side DF, side BC is congruent to side EF.
A. The triangles are not congruent.
B. SAS Triangle Congruence Theorem
C. Isosceles Triangle Theorem
D. SSS Triangle Congruence Theorem
Can you please give a step by step answer with the reasons?
Answer:
I'm uploading a picture. Hope this helps.
Step-by-step explanation:
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Answer:
Step two was incorrect
Step-by-step explanation:
when he solved
e/4 *4= 2.5*4
He said that 2.5*4=8 which is incorrect
It equals 10 so the actual answer is-
e=10
It is a chilly January day. When you get up it is only 5°F outside. By noon, the temperature had risen 7°F. By 10pm, it had dropped 15°F. What is the temperature outside when you go to bed at 10pm?
Answer:-3
Step-by-step explanation:
its just adding and subtracting
Answer:
-2ºf
Step-by-step explanation:
the temp is 5ºf outside in the morning, then it went up 7ºf more, so 5+7= 13
after that, you would then do 13-15 which would be -2
so by 10pm it would be -2ºf
What are factored forms of the following expressions
if ABC=DEF, which congruences are true by CPCTC? Check all that apply.
The congruences that are true by CPCTC are option (B) ∠A ≅ ∠D (D) BC ≅ EF (F) AC ≅ DF.
What is similar triangle?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. Similar triangles are the triangles that are the same in shape, but may not be equal in size.
For the given situation,
The triangles ΔABC ≅ ΔDEF.
The CPCTC theorem states that when two triangles are congruent, then every corresponding part of one triangle is congruent to the other.
This means, when two or more triangles are congruent then their corresponding sides and angles are also congruent or equal in measurements.
[tex]AB = DE, BC = EF, AC = DF[/tex] and
[tex]\angle A = \angle D, \angle B = \angle E, \angle C = \angle F[/tex]
Hence we can conclude that the congruences that are true by CPCTC are option (B) ∠A ≅ ∠D (D) BC ≅ EF (F) AC ≅ DF.
Learn more about similarity of triangles here
https://brainly.com/question/12460919
#SPJ3
Find the sales tax to the nearest hundredth. $22.95 jeans, 7% tax
-6x - x + 10 = 15 - 7x - 5
O a. all real numbers
O b.-12
O c. 10
O d. 12
What is the answer
Answer:
a
Step-by-step explanation:
Given
- 6x - x + 10 = 15 - 7x - 5 , that is
- 7x + 10 = - 7x + 10
Since both sides of the equation are equal then all real numbers will make the equation true.
what is 24% of 36
please tell me
Answer:
8.64
Step-by-step explanation:
Hope this helps <3
HELPPPPPP IN NEED
The temperature was less than 20 degrees Fahrenheit on the morning of the
test what is the inequality to represent the situation
Answer:
>20 degrees
Step-by-step explanation:
Russell built a walking bridge with two
planks. One of the planks was 22 feet
wide and the other was 3 feet wide.
What is the combined width of the planks?
Answer:
50
Step-by-step explanation:
22 for the long sides
22+22=44
3 for the short sides
3+3=6
44+6=50
Write an expression for the perimeter of the triangle shown below:
A triangle is shown with side lengths labeled 2.3x plus 14, 2x, and negative 0.2x plus 15.
4.1x + 29
4.1x − 29
4.5x + 29
4.5x − 29
Answer:
4.1x + 29
1. Combine like terms (2.3x + 2x= 4.3x - 0.2x = 4.1x)
2. add the 14 + 15 = 2
That gives you the equation 4.1x + 29
I took this quiz got it right
what is ( 3.1 x 10^5) ( 2.2 x 10^7) in scientific notation?
Answer:
= 2.231 × 107
help please thank you so much !
Answer:
I feel the answer is D (Sorry if this isn't the correct answer)
If m∠3=115°, find m∠6.
Answer: 115 degrees
Step-by-step explanation: By the property of alternate interior angles, they are congruent.
What is the value of x in the equation -2/3x9=-3
Answer:
your equation is false
Is this answer right?
Answer:
Yes
Step-by-step explanation:
All of your multiplication is correct, there are no mistakes.
Yes It's All Right All The Multiplcation Is Correct
HELP ME PLZ
If you knew that two angles were complementary and were given the measure of one of those angles, would you be able to find the measure of the angle? Explain your reasoning.
Answer:
zxedrfcevrhybtjuyinkmu,l
Step-by-step explanation:
A password contains 6 digits such as 174668 how many different passwords can be formed
Answer:
there are 1 million possible passwords
Answer: One million possible combinations
If 40 percent of the eggs were cracked what fraction of the eggs were cracked
Answer:
2/5
explanation:
Answer:
40/100 or in simplest form 2/5
Step-by-step explanation:
turn percent into decimal by multiplying by 100
Need help on this if anyone can
Help ASAP please!!!!!!!!!
How would you solve this problem? Type below:
Answer:about maybe 6 hours
Step-by-step explanation:
because movies are almost 1 to 2 hours and for all of those it would be 6 hours
Answer:
5.25 hours of movie-marathon-watching
Step-by-step explanation:
To solve this problem, you should multiply 3 times 1.75. (.75 is equal to 3/4.)
Please mark me Brainliest, I need it to move onto the next level. <3
Find the coordinates of the orthocenter of triangle ABC with vertices A (2, 0), B (2, 4), and C (6, 0).
9514 1404 393
Answer:
(2, 0)
Step-by-step explanation:
The orthocenter of a right triangle is the vertex where the right angle is located. Here, that is vertex A.
The orthocenter is (2, 0).
__
The orthocenter is the point where the altitudes intersect.
1) Which is NOT a solution to the equation:
3y + x = 25
(1,8)
(10,5)
(2,7)
(13,4)
URGENT!!
HELP PLEASE! Thank you! 15 POINTS
Answer:
Step-by-step explanation: for 8 thirds use the long lines to count back from 5 to 0 then once u get 0 use the little lines to get to 8 thirds towards 5 and do the same for -11 thirds but towrds -5
10 points Help Me Please I will give brainiest
Answer:
ITS C
Step-by-step explanation:
Because since it has a one time fee of 5, the graph has to start at 5, then you narrow it down to c or d, if you look at d then you can see that the graph isnt going up 2 dollars, so then the answer is c.
PLEASE HELP ME ASAP?!?Classify the following triangle. Check all that apply.
Answer:
B and c I think lolll
Answer:
isoceles right triangle
Step-by-step explanation:
1. it has a right angle
2. it has to equivalent sides
Which one is correct? Please hurry <3
Answer:
1500
Step-by-step explanation:
I did the math and got it right