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3 years ago

Find the measure for each angle indicated

Mathematics

2 answers:

Lorico [155]3 years ago

6 0

Step-by-step explanation:

7. 180 -92 -67 =21. 180-21 = 159

8.180-144 = 36 + 94 = 130 180-130 = 50

solmaris [256]3 years ago

6 0

Answer:

Step-by-step explanation:

TWO RULES:

⊳ Angles in a triangle add up to 180

⊳ Angles on a straight line also add up to 180

=================================================================

QUESTION 1

92 + 67 + x = 180

x + 159 = 180

x = 21

180 - 21 = 159

? = 159

=================================================================

QUESTION 2

144 + x = 180

x = 36

94 + 36 + ? =180

130 + ? =180

? = 50

=================================================================

! HOPE I HELPED !

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The perimeter of triangle ABC is 54. the triangle has side lengths AB=3x, BC=4x, AC=5x. Find the length of each side.

elena-14-01-66 [18.8K]

The perimeter of a triangle is the sum of its sides. So, we have

$P = \overline{AB}+\overline{BC}+\overline{AC}$

We have an exact value for the perimeter, and variable expressions for the sides. Let's substitute the formula above with what we're given:

$54 = 3x+4x+5x = 12x$

If you divide both sides by 12, you have

$x = \dfrac{54}{12} = 4.5$

So, the lengths of the sides are

$AB = 3x = 3\times 4.5 = 13.5$

$BC = 4x = 4\times 4.5 = 18$

$AC = 5x = 5\times 4.5 = 22.5$

7 0

3 years ago

2) Evaluate the given numerical expression. A) 9 B) 12 C) 14 D) 21

eduard

Answer:

$\boxed{\sf{14}}$

Step-by-step explanation:

$\boxed{\underline{\text{ORDER OF OPERATIONS:}}}$

Use the order of operations.

Note: PEMDAS or BODMAS stands for:

PEMDAS

Parentheses
Exponents
Multiply
Divide
Add
Subtract

BODMAS

Brackets
Order
Divide
Add
Subtract

First, do parentheses.

3+6*(5+4)÷3-7

(5+4)=9

$\Longrightarrow: \sf{3+6* 9\div 3-7}$

Do multiply and divide.

6*9=54

54/3=18

Then, rewrite the problem down.

$\Longrightarrow: \sf{3+18-7}$

Add.

$\sf{3+18=21}$

$\sf{21-7=\boxed{\sf{14}}$

$\Longrightarrow: \boxed{\sf{14}}$

Therefore, the correct answer is "C. 14".

I hope this helps, let me know if you have any questions.

8 0

2 years ago

Choose all of the system of equations which have no solution. x + 2y = 10 and 2y = 6 + 5x x = 8 − y and y = 6 + 5x 3x + 2y = 5 a

nirvana33 [79]

Answer:

Third and fourth systems

Step-by-step explanation:

Let's check the first system:

x + 2y = 10

2y = 6 + 5x

Isolating x in the first equation, we have x = 10 - 2y. Applying that in the second equation we have:

2y = 6 + 5(10-2y)

2y = 6 + 50 - 10y

12y = 56

y = 4.6667

from the first equation, we have that x + 2*4.6667 = 10 -> x = 0.6667

So this system has a solution.

Checking now the second system:

x = 8 − y

y = 6 + 5x

using y from the second equation in the first equation, we have:

x = 8 - 6 - 5x

6x = 2

x = 0.3333

then, in the second equation:

y = 6 + 5*0.3333 = 7.6666

This system also has a solution

Third system:

3x + 2y = 5

2y = 6 − 3x

The second equation can be rewritten as:

3x + 2y = 6

We can see from both equation that the same expression (3x + 2y) has two values (5 and 6). So we can't solve this system.

Fourth system:

3x = 2 − 4y

4y = 7 − 3x

The first equation can be rewritten as 3x + 4y = 2

The second equation can be rewritten as 3x + 4y = 7

We can see from both equation that the same expression (3x + 4y) has two values (2 and 7). So we can't solve this system.

So, the systems that have no solution are the third and fourth systems

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3 years ago

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True [87]

Answer:

Step-by-step explanation:

2+2^2÷4+3

PEMDAS says exponents first

2+4÷4+3

Then multiply and divide from left to right

2+1+3

Then add and subtract

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Answer:

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c- 14/20=7/10

d- 10/20=1/2

e- 10/20=1/2

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