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Maru [420]
3 years ago
7

The figure is a parallelogram. Solve for x.

Mathematics
2 answers:
LiRa [457]3 years ago
8 0

GD=FE (property of parallelogram)

2x-5=17

2x=22

x=11

Softa [21]3 years ago
8 0

Answer:

2x-5=17

2x=22

x=11

Step-by-step explanation:

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Identify each letter of the slope intercept equation y=m×+b​
insens350 [35]

Answer:

mx is your slope and b is your y-intercept

Step-by-step explanation:

4 0
3 years ago
In an inequality, 0.5 is the greater number. What will the position of the other number be in relation to 0.5 on the vertical nu
aivan3 [116]

Answer:

Closer to 0 than 0.5, or under zero

Step-by-step explanation:

On a vertical number line, anything above zero is positive, and anything under zero is negative. If 0.5 is the greater number, then it has to be closer to zero, or under it.

7 0
3 years ago
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Question is worth 25 points what is 15 squared?
makkiz [27]
The answer is 225
15•15=225
7 0
3 years ago
Given that 'n' is any natural numbers greater than or equal 2. Prove the following Inequality with Mathematical Induction
Oliga [24]

The base case is the claim that

\dfrac11 + \dfrac12 > \dfrac{2\cdot2}{2+1}

which reduces to

\dfrac32 > \dfrac43 \implies \dfrac46 > \dfrac86

which is true.

Assume that the inequality holds for <em>n</em> = <em>k </em>; that

\dfrac11 + \dfrac12 + \dfrac13 + \cdots + \dfrac1k > \dfrac{2k}{k+1}

We want to show if this is true, then the equality also holds for <em>n</em> = <em>k</em> + 1 ; that

\dfrac11 + \dfrac12 + \dfrac13 + \cdots + \dfrac1k + \dfrac1{k+1} > \dfrac{2(k+1)}{k+2}

By the induction hypothesis,

\dfrac11 + \dfrac12 + \dfrac13 + \cdots + \dfrac1k + \dfrac1{k+1} > \dfrac{2k}{k+1} + \dfrac1{k+1} = \dfrac{2k+1}{k+1}

Now compare this to the upper bound we seek:

\dfrac{2k+1}{k+1}  > \dfrac{2k+2}{k+2}

because

(2k+1)(k+2) > (2k+2)(k+1)

in turn because

2k^2 + 5k + 2 > 2k^2 + 4k + 2 \iff k > 0

6 0
2 years ago
Read 2 more answers
Emma is making a recipe that needs 2 1/2 cups of sugar. Each
IrinaVladis [17]

The given partial fraction divided by the fraction of sugar in a scoop is

equal to multiplying the partial fraction by the reciprocal of the fraction.

  • The number of scoops of sugar needed is <u>10 scoops</u>.

Reasons:

The amount of sugar the recipe Emma is making needs = 2 1/2 cups

Amount of sugar in each scoop of sugar = 1/4 cups

Required:

The amount of scoops Emma needs to add for the entire recipe

Solution:

The amount of sugar needed = 2 1/2 cups

Amount of sugar per scoop = 1/4 cups/scoop

Therefore;

  • \displaystyle Number \ of \ scoops = \mathbf{\frac{Cups \ of \ sugar \ needed}{Cups \ of \ of \ sugar \ per \ scoop}}

Which gives;

  • \displaystyle Number \ of \ scoops \ needed  = \mathbf{\frac{2 \frac{1}{2}  \ cups \ of \ sugar }{\frac{1}{4} \  cups \ of \ sugar \ per \ scoop}}

\displaystyle  2 \frac{1}{2} = \frac{5}{2}

\displaystyle \frac{ \frac{5}{2}}{\frac{1}{4} } =  \mathbf{ \frac{5}{2} \times \frac{4}{1} = \frac{20}{2 }} = 10

Therefore;

\displaystyle Number \ of \ scoops \ needed  = \mathbf{\frac{2 \frac{1}{2}  \ cups \ of \ sugar }{\frac{1}{4} \  cups \ of \ sugar \ per \ scoop}} = 10 \, scoops

The number of scoops she needs for the entire recipe is <u>10 scoops</u>

Learn more about division by fractions here:

brainly.com/question/20591763

3 0
2 years ago
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