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3 years ago

If A=30°, a=12, b=28 how many triangles can be constructed?

Mathematics

1 answer:

Fofino [41]3 years ago

3 0

Check the picture below.

recall the ambiguous SSA case, as the "12" side moves, it ends up with two supplementary angles on the base.

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LekaFEV [45]

2x+6 = 20
take 6 from both sides
2x = 14
divide by 2 on both sides
x = 7

8 0

3 years ago

Can you construct a triangle that has side lengths 2 yd, 9 yd, and 10 yd?

yan [13]

Yes

The rule to check if a triplet of numbers can represent the sides of a triangle is the following: the sum of the length of two sides must exceed the third one.

This happens for all possible couples in your case:

$2+9=11>10$

$2+10=12>9$

$9+10=19>2$

3 0

3 years ago

Which of the following values for x and y satisfy the following system of the equations?

weqwewe [10]

Answer:

The answer to your question is letter C

Step-by-step explanation:

Equations

x + 4y = 10

5x + 10y = 20

Process

1.- Substitute all the options in both equations and evaluate them

a) x = 3, y = 2 This option is incorrect

(3) + 4(2) = 10 3 + 8 = 10 11 ≠ 10

5(3) + 10(2) = 20 15 + 20 = 20 35 ≠ 20

b) x = 2, y = -3 This option is incorrect

(2) + 4(-3) = 10 2 -12 = 10 -10 ≠ 10

(2) + 10(-3) = 20 2 - 30 = 20 -28 ≠ 20

c) x = -2, y = 3 This is the right answer

(-2) + 4(3) = 10 -2 + 12 = 10 10 = 10

5(-2) + 10(3) = 20 -10 + 30 = 20 20 = 20

d) x = 3, y = -2 This option is incorrect

(3) + 4(-2) = 10 3 - 6 = 10 - 3 ≠ 10

5(3) + 10(-2) = 20 15 - 20 = 20 -10 ≠ 10

6 0

3 years ago

help please! by what fraction would you multiply 8 1/2 so that the proudct is about 5 explain your reasiong

blsea [12.9K]

9514 1404 393

Answer:

5/8 or 5/9

Step-by-step explanation:

The fraction will be exactly ...

5/(8 1/2) = 10/17 ⇒ (8 1/2)×(10/17) = 5

The fraction will be approximately ...

5/8 or 5/9

The denominator will be a number that makes (8 1/2)/(denominator) ≈ 1. For that denominator, the numerator will be 5, so that we have ...

(8 1/2) × (5/denominator) ≈ 5

(8 1/2)/(denominator) ≈ 1 . . . . . . . . divide by 5

If we want the denominator to be an integer, we could choose either 8 or 9. If we choose 8, the result will be slightly more than 5; if we choose 9, the result will be slightly less.

(8 1/2) × (5/8) = 5.3125 ≈ 5

(8 1/2) × (5/9) = 4.722... ≈ 5

Either 5/8 or 5/9 will give a product of about 5.

8 0

3 years ago

What is the value of x

Gemiola [76]

For this case, we observe that the triangles are similar.
We observe that the triagnules have three equal angles.
Therefore, to find the value of x we can use the following relationship:
$x / 15 = 5/12
$
Clearing x we have:
$x = (5/12) * (15)

x = 6.25$
Answer:
The value of x is given by:
x = 6.25

4 0

3 years ago