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3 years ago

Performance task for

Mathematics

1 answer:

Norma-Jean [14]3 years ago

6 0

Answer: what's the question here?

Step-by-step explanation:

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Find the value of x........

raketka [301]

Answer:

x=23

Step-by-step explanation:

Hello There!

Remember the exterior angle of a triangle is equal to the opposite interior angles of a triangle

137-x=2x+3x-1

now we can solve for x

step 1 combine like terms

2x+3x=5x

now we have

137-x=5x-1

step 2 add 1 to each side

-1+1 cancels out

137+1=138

138-x=5x

step 2 add x to each side

-x+x cancels out

5x+x=6x

now we have

138=6x

step 3 divide each side by 6

6x/6=x

138/6=23

we´re left with x=23

7 0

3 years ago

Change 2.33 to a simplified fraction. Round to the nearest hundredth.

Butoxors [25]

Answer: 233.00

Step-by-step explanation: In this case, Rule I applies, so 233/1 (or 233.000) rounded to the nearest hundredth in decimal format is:

8 0

3 years ago

Y= |x−3| + |x+2| − |x−5|, if x>5<br> I need to know what y equals.

olganol [36]

Answer:

$y \ge9$

Step-by-step explanation:

The given function is

$y = |x - 3| + |x + 2| - |x - 5|$

By the triangle inequality property,

$|x + y| \leqslant |x| + |y|$

and the alternate triangle inequality property;

$|x - y| \geqslant |x| - |y|$

We apply this property to get:

$y \geqslant |x | - |3| + |x | + |2| -( |x | - |5| )$

Expand parenthesis to get:

$y \geqslant |x | - |3| + |x | + |2| - |x | + |5|$

Simplify to get:

$y \geqslant |x | - 3+ |x | + 2- |x | + 5$

Group similar terms to get:

$y \geqslant |x | + |x | - |x | - 3 + 2+ 5$

$y \geqslant |x | + 4$

When x>5,

$y \geqslant |5 | + 4$

That's;

$y \geqslant 5 + 4 \\ y \geqslant 9$

5 0

3 years ago

Choose 1 answer:

mezya [45]

Answer:

Step-by-step explanation:

vertical angles are opposite from each other

Complementary angles are 180

supplementary angles are 90

so it is none of the above

6 0

4 years ago

Read 2 more answers

A student scored 84 and 87 on her first two quizzes.Write and solve a compound inequality to find the possible values for a thir

Varvara68 [4.7K]

Mean of data = sum of values ÷ number of data

We have three values; 84, 87, and $x$

Sum of values = $84+87+x$ = $171+x$

We want the value of $x$ to give mean between 85 and 90 inclusive

$85 \leq \frac{171+x}{3} \leq 90$
$85*3 \leq 171+x \leq 90*3$
$255 \leq 171+x \leq 270$
$255-171 \leq x \leq 270-171$
$84 \leq x \leq 99$

Hence, the value of $x$ is between 84 and 99 inclusive

8 0

3 years ago

Read 2 more answers