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Monica [59]
3 years ago
5

∆ABC is an isosceles triangle in which angles B and C are congruent.

Mathematics
2 answers:
evablogger [386]3 years ago
7 0
The correct answer is 96
4x+10=x+343x+10=343x=24x=8
B = (4x + 10)   = 4(8) + 10   = 32+10 = 42B = m∠ C = 42A = 180 - 2(42)A = 180 - 84A = 96
Brut [27]3 years ago
4 0
Since B and C are congruent, that means that 4x+10=x+34. Using the addition property of equality, I challenge you to solve for x! After you do that, you can note that all the angles in a triangle add up to 180, so 4x+10+x+34+angleA=180. When you find x, you can substitute that in.

If you need help with the addition property of equality for variables, here's an example - 5x+23=4x+3. Subtracting 3 from both sides, we get 5x+20=4x. Next, we can subtract 5x from both sides to get -x=20 and divide both sides by -1 to get x=-20.

Good luck, and feel free to ask with any questions!
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What 2 numbers divide to get 375 while multiplying to equal 38.4?
Rus_ich [418]

Answer:

<em>Well, 375 is a composite number. </em>

<em>Prime factorization: 375 = 3 x 5 x 5 x 5, which can be written 375 = 3 x (5^3) </em>

<em>The exponents in the prime factorization are 1 and 3.</em>

<em>Factors of 375: 1, 3, 5, 15, 25, 75, 125, 375. </em>

<em>Factor pairs: 375 = 1 x 375, 3 x 125, 5 x 75, or 15 x 25. </em><em>Good Luck!</em>

5 0
3 years ago
The local pre-school ordered all new bicycles and tricycles for the new school year. Each bicycle and tricycle is shipped in its
mrs_skeptik [129]
There are 16 boxes total, and 45 wheels total. 

we know that each bicycle/tricycle is in it's own box. 
i'm going to use the variable "b" for bicycle and "t" for tricycle

b + t = 16 
(because b is the amount of bicycles and t is the amount of tricycles) 

now we know that there are 45 wheels total. 
there are 2 wheels for a bicycle and 3 wheels for a tricycle

2b + 3t = 45 

now we have a system of equations
b + t = 16
2b + 3t = 45 

You can solve this multiple ways, but I'm going to use substitution. 
b + t = 16 can also be written as b = 16 - t (if you subtract both sides by t) 
then we can substitute this b = 16 - t into the other equations

2(16 - t) + 3t = 45

32 - 2t + 3t = 45
32 + t = 45
t = 13 

now you can plug that back into the original equations

b + 13 = 16 
b = 3

2b + 3(13) = 45
2b + 39 = 45
2b = 6
b = 3

If you have any more questions, feel free to ask!

5 0
3 years ago
Factor the expression using the GCF 60-150x
Novay_Z [31]

Answer:

30(2 - 5x)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
 The sum of two integers is 25. One less than twice the larger integer is equal to one more than four times the smaller integer.
sashaice [31]
17 and 8 hope this helps
8 0
4 years ago
Sun Li is 18 years old.
Sphinxa [80]

Answer:

5 years older

Step-by-step explanation

I hope my answer was helpful! Have a lovely rest of your day

6 0
3 years ago
Read 2 more answers
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