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77julia77 [94]
3 years ago
8

Classify the triangle based on angle measures.

Mathematics
1 answer:
ki77a [65]3 years ago
7 0

<u>Let's name these angles</u>.

∠ A = 72°

∠ B = 54°

∠ C = 54°

Now, in this triangle, two angles, i.e., ∠ B and ∠ C are same.

According to the properties of triangle, sides opposite to two equal angles in a triangle are also equal, which means the two sides opposite to 54° in the figure will be equal.

=> <u>AB = AC</u>

Now, if there are two equal sides in a triangle then the triangle is called <u>Isosceles Triangle.</u>

So, the above triangle is an <u>Isosceles Triangle</u>.

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for two positive integers a and b, we know g c d (a comma b )equals 15 comma space l c m (a comma b )equals 90, what is a b?
Scilla [17]

Two positive integers have gcd (a, b) = 15 and lcm (a, b) = 90. Those two numbers are 15 and 90 or 30 and 45.

Suppose we have 2 positive integers, a and b, then:

gcd (a, b) = the greatest common divisor = common prime factors of a and b

lcm (a, b) = the least common multiple = multiplication of the greatest common prime factors of a and b

In the given problem:

gcd (a, b) = 15

prime factorization of 15:

15 = 3 x 5

Hence,

a = 3 x 5 x ....

b = 3 x 5 x ....

lcm (a, b) = 90

prime factorization of 90:

90 = 3 x 5 x 2 x 3

Therefore the possible pairs of a and b are:

Combination 1:

a = 3 x 5 = 15

b = 3 x 5 x 2 x 3 = 90

Combination 2:

a = 3 x 5 x 2 = 30

b = 3 x 5 x 3 = 35

We can conclude the two integers are 15 and 90 or 30 and 45.

Learn more about gcd here:

brainly.com/question/16969353

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6 0
2 years ago
3x -9 =7x + 12<br>Find X
Lorico [155]
Simple....

you have:

3x-9=7x+12

To even solve this....isolate the variable your are trying to solve for....

3x-9=7x+12
-3x    -3x

-9=4x+12

-9=4x+12
-12     -12

-21=4x

Simplify.....

\frac{-21}{4} = \frac{4x}{4}

\frac{-21}{4} =x

Thus, your answer.

5 0
3 years ago
The product of b and 4 is greater than or equal to 25.
Ugo [173]

Answer:

4b ≥ 25

Step-by-step explanation:

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An envelope has a perimeter of 30 inches. Its area is 50 square inches. What are the dimensions of the
Zina [86]

Answer:

10in by 5in

Step-by-step explanation:

PERIMETER: p=2(a+b) p=30

AREA: A=a×b A=50

2(a+b)=30

a×b=50

3 0
3 years ago
Read 2 more answers
Find height of the cone
Fynjy0 [20]

Answer:

12 + 5 if not 12 * 5

Step-by-step explanation:

12 added to 5 =

13 + 4 =

14 + 3 =

15 + 2 =

16 + 1 =

17 + 0 =

17

and figure out the rest

4 0
3 years ago
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