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Neporo4naja [7]
2 years ago
14

Becky orders pens from an office supply company. The table shows how many pens have black ink based on the total number of pens

ordered.
Total Pens
Pens with
Black Ink
60
144
288
120
432
180
If 90 pens with black ink came in an order, how many total pens were ordered?
A 96
B. 174
O c. 216
D. 234

Mathematics
1 answer:
dedylja [7]2 years ago
6 0

Answer:

Step-by-step explanation:

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Area of a parallelogram of base 10cm and height4cm
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The formula for finding the area of a parallelogram is-
A=b*h   Where A=Area b=base length h=height
A=10*4
A=40
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Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1​
Tamiku [17]

Base case: if <em>n</em> = 1, then

1² - 1 = 0

which is even.

Induction hypothesis: assume the statement is true for <em>n</em> = <em>k</em>, namely that <em>k</em> ² - <em>k</em> is even. This means that <em>k</em> ² - <em>k</em> = 2<em>m</em> for some integer <em>m</em>.

Induction step: show that the assumption implies (<em>k</em> + 1)² - (<em>k</em> + 1) is also even. We have

(<em>k</em> + 1)² - (<em>k</em> + 1) = <em>k</em> ² + 2<em>k</em> + 1 - <em>k</em> - 1

… = (<em>k</em> ² - <em>k</em>) + 2<em>k</em>

… = 2<em>m</em> + 2<em>k</em>

… = 2 (<em>m</em> + <em>k</em>)

which is clearly even. QED

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3 years ago
HELP DUE IN 15 MINS! <br> Solve for x in the parallelogram below:<br><br> X=??
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Answer:

x = 4

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180°, so

14x + 6 + 118 = 180

14x + 124 = 180 ( subtract 124 from both sides )

14x = 56 ( divide both sides by 14 )

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Find the midsegment of the triangle which is parallel to CA.​
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Answer:

\pmb{ \pink{QUESTION�}}

Find the midsegment of the triangle which is parallel to CA.

\pmb{ \pink{ANSWER:-}}

Tip

  • A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle.
  • This segment has two special properties. It is always parallel to the third side, and the length of the midsegment is half the length of the third side.
  • If two segments are congruent, then they have the same length or measure.In other words, congruent sides of a triangle have the same length.

\frak{Explanation:-}

We have to find the segment which is parallel to CA.

From the given data,

The segment EG is the midsegment of the triangle\triangle ABC.

So we have,

A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle. This segment has two special properties. It is always parallel to the third side.

\implies\rm{midsegment \:  EG \: parallel \: to \:  CA}

\frak{RainbowSalt}~

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Answer:

88,573

Step-by-step explanation:

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