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3 years ago

8

The angle measures in a triangle are in the ratio 1:3:5. The longest side of the triangle measures 5 inches. What is the approxi

mate perimeter of the triangle? 9.0 in. 9.4 in. 11.1 in. 12.7 in.

1 answer:

yawa3891 [41]3 years ago

8 0

Answer:

Step-by-step explanation:

X + 3x + 5x = 180

9x = 180

x = 20

So the angles are

20

60 and

100

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erastova [34]

Answer:

180, 180, 148, 180, 148

Step-by-step explanation:

The two rules in play here are ...

the sum of interior angles of a triangle is 180°
the angles of a linear pair are supplementary (they total 180°)

__

The first of these rules answers the first two questions:

interior angles total 180°
angles 1, 3, 4 total 180°

We can subtract the measure of angle 1 from both sides of the previous equation to find the sum of the remaining two angles.

angles 3 and 4 total 148°

The second rule answers the next question:

angles 1 and 2 total 180°

As before, subtracting the value of angle 1 from both sides of the equation gives ...

angle 2 must be 148°

_____

<em>Additional comment</em>

Of course, the subtraction property of equality comes into play, also. For some unknown, X, you have (in both cases) ...

X + 32° = 180°

X +32° -32° = 180° -32° . . . . . . subtraction property of equality

X = 148° . . . . . . . . simplify

In the first case, X is the sum of angles 3 and 4. In the second case, X is angle 2 only.

7 0

3 years ago

Find values of x and y for which ABCD must be a parallelogram. The diagram is not drawn to scale.

Arturiano [62]

ANSWER
$x=4, y=8$

EXPLANATION

If ABCD is a parallelogram, then

line AB is parallel to line DC .

This means that,

$(x + 2) \degree$
and

$(2x - 2) \degree$
are alternating angles.

Alternate angles are congruent.

This implies that,

$2x - 2 = x + 2$

We group like terms to obtain,

$2x - x = 2 + 2$

This simplifies to,

$x = 4$

Also, if ABCD is a parallelogram then,

BC is parallel to AD. This means that,

$5y - 8 = y + 24$

We group like terms to get,

$5y - y = 24 + 8$

This simplifies to,

$4y = 32$

We divide both side by 4 to get,

$y = 8$

6 0

3 years ago

Read 2 more answers

Can please answer these 3 questions

kupik [55]

So it would be 32 lol if

6 0

3 years ago

Answer each part below using only mental math, and describe your method. a. If 39 is 1% of a number, what is that number? How di

Leni [432]

Answer:

Step-by-step explanation:

Given: 39 = 0.01n

Move the decimal point on each side two places to the right: 3900 = n

8 0

3 years ago

Solve the system of equations and choose the correct ordered pair.

Ilia_Sergeevich [38]

The answer is C. Would you like me to explain how I got that?

3 0

3 years ago

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