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Nat2105 [25]
4 years ago
13

Triangle ABC is similar to triangle LMN by the AA Similarity Postulate. Also, m∠A = 129° and m∠C = 2(m∠M). What is m∠M?

Mathematics
1 answer:
Elza [17]4 years ago
4 0
Again, this is a triangle so the sum of the angles must be 180°, so we can say:

a+b+c=180, we are told a=129, b=2c, we will let c=M°

129+2c+c=180 combine like terms on left side

129+3c=180 subtract 129 from both sides

3c=51 divide both sides by 3

c=17°

So angle M=17°
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A scientist has two solution which she labelled, solution A and solution B, each continue salt,she knows that solution A is 65%
Lorico [155]
A = oz of the solution A

b = oz of the solution B



The scientist knows that solution A is 45% salt and solution B is 95% salt. She wants to obtain 80 ounces of a mixture that is 65% salt.



a + b = 80



0.45a + 0.95b = 0.65*80



by solving the above system of equations you'll find····



a = 48 oz



b = 32 oz

~I hope this helped~

If it doesn't make since, I can try to switch up the wording ^^

7 0
3 years ago
55% of 6th grade students voted in the student election. 440 sixth grade students voted in the student election. How many total
Ne4ueva [31]

Answer:

800. Here's why:

Step-by-step explanation:

This indicats that 440 students make up 55% of the 6th grade population. We can write this as

55/440.

We also know that 'x' total students make up 100% of the 6th-grade population, so we can write this as

100/x.

55/440 must be equal to 100/x. When cross multiplied, it becomes 50x=44000. If we divided each side by 50, we'll find that x=880. Therefore, there are 800 6th graders

8 0
3 years ago
Read 2 more answers
What is the length of the equilateral triangle below?
kykrilka [37]

Answer:

C. 5√3

Step-by-step explanation:

To figure this out, we need to apply the Pythagorean Theorem, <em>a</em><em>²</em><em> </em><em>+</em><em> </em><em>b</em><em>²</em><em> </em><em>=</em><em> </em><em>c</em><em>²,</em><em> </em>where <em>c</em><em> </em>is the "HYPOTENUSE". In this case, <em>c</em><em> </em>is already found for us [10], so the operation we use whenever the hypotenuse is defined is deduction, or subtraction. Apply the Pythagorean Theorem: a² + 25 = 100; 75 = a². Now, to find <em>a</em><em>,</em><em> </em>we need to find two numbers that multiply to 75, where one of them is a PERFECT SQUARE, and in this case, they are 3 and 25. Since the square root of 25 is 5 [in this case, NO NON-NEGATIVE root], that gets moved to the outside of the radical, and 3 [NON-PERFECT SQUARE] stays wrapped under the radical, ending up with <em>5</em><em>√</em><em>3.</em><em> </em>You understand?

I am joyous to assist you anytime.

4 0
3 years ago
If Bill's car gets an average of 27 mpg and he fills his tank with 18.6 gallons of
Evgesh-ka [11]

The answer is 502.2 miles

7 0
3 years ago
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i need help on this asap please. its two days past due. Teacher said there are only 2 correct answers out of all 12 of these. pl
Blababa [14]

Answer:

Answer:

90°

90°

90°

90°

edc=180-90-53=37by sum of angle of triangle

edf=90-37=53

fed=cde=53alternate angle

fea=180-fae-efa=180-37-90=53

efa=180-90=90linear pair

fae=180-<e-edf=180-90-53=37

eab=90-fae=90-37=53

aeb=180-b-bae=180-90-53=37

4 0
3 years ago
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