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fgiga [73]
2 years ago
7

Which figure is similar to the parallelogram? (Figures may not be drawn to scale.) A parallelogram has side lengths of 8 and 5.8

. Angles are 68 degrees and 112 degrees. A parallelogram has side lengths of 4 and 4.8. Angles are 68 degrees and 112 degrees. A rectangle has a length of 6 and width of 4.8. All angles are 90 degrees. A parallelogram has side lengths of 4 and 2.9. Angles are 48 degrees and 132 degrees. A parallelogram has side lengths of 4 and 2.9. Angles are 68 degrees and 112 degrees.
Mathematics
2 answers:
cluponka [151]2 years ago
6 0

Answer:

A parallelogram has side lengths of 4 and 4.8. Angles are 68 degrees and 112 degrees.

Svetlanka [38]2 years ago
5 0

Answer: A parallelogram has side lengths of 4 and 4.8. Angles are 68 degrees and 112 degrees.

Step-by-step explanation:

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Grace read 9 books in 3 months what was her rate of reading Books per month​
Lorico [155]

Answer:

3 books per month

Step-by-step explanation:

9 books ÷ 3 months = 3 books per month :)

7 0
2 years ago
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Express f(x) = |x-2| +|x+2| in the non-modulus form. Hence, sketch the graph of f.
alexgriva [62]
Recall that

|x|=\begin{cases}x&\text{if }x\ge0\\-x&\text{if }x

There are three cases to consider:

(1) When x+2, we have |x+2|=-(x+2) and |x-2|=-(x-2), so

|x-2|+|x+2|=-(x-2)-(x+2)=-2x-4

(2) When x+2\ge0 and x-2, we get |x+2|=x+2 and |x-2|=-(x-2), so

|x-2|+|x+2|=-(x-2)+(x+2)=4

(3) When x-2\ge0, we have |x+2|=x+2 and |x-2|=x-2, so

|x-2|+|x+2|=(x-2)+(x+2)=2x

So

|x-2|+|x+2|=\begin{cases}-2x-4&\text{if }x
4 0
2 years ago
Markup = original cost × percentage markup selling price = original cost + markup The manufacturing cost of a cell phone was $12
strojnjashka [21]

C.) Old Price: $148.80; New Prices: $142.60

Using The Formula Given

M = O x P = O + M

Markup Value After 20% Is $148.80

Markup Value After 15% is $142.60

8 0
2 years ago
The average credit card debt for a recent year was $8,776. Five years earlier the average credit card debt was $8,189. Assume sa
Anestetic [448]

Answer:

We reject H₀.  We support that the new average credit card debt is bigger than the previous average

Step-by-step explanation:

Five years earlier

μ   = 8189

σ  =  690

Sample size   n  = 32

Recent year debt

x  =  8776

Sample size   n  = 32

a) Hypothesis Test:

Null Hypothesis                        H₀            x  =  μ   = 8189

Alternative Hypothesis           Hₐ             x >  μ

b) z(c)  Alternative Hypothesis establishes that the test is a one tail-test to the right.

z(c)   for significance level  α = 0.05    is  from z-table      z(c) = 1,64

c) z(s)  =  (  x  -   μ ) / σ /√n

z(s)  =  ( 8776  - 8189 ) / 690 /√32

z(s)  =  587 *5,66/ 690

z(s) = 4,81

d) Comparing   z(c)    and z(s)

z(s)  >  z(c)   Then z(c) is in the rejection region and we reject H₀

e) We have evidence that at 95 % of confidence the new value for the debt in credit card is now bigger than the average

7 0
1 year ago
One factor of the function f(x) = x3 − 8x2 + 17x − 10 is (x − 5). Describe how to find the x-intercepts and the y-intercept of t
kozerog [31]

Answer:

x-intercepts: (1,0), (2,0), (5,0)

y-intercepts: (0,-10)

Step-by-step explanation:

One factor of the function f(x) = x^3-8x^2 + 17x-10 is (x-5).

Factor the polynomial in the following way:

x^3-8x^2 + 17x-10\\ \\=x^3-5x^2-3x^2+15x+2x-10\\ \\=x^2(x-5)-3x(x-5)+2(x-5)\\ \\=(x-5)(x^2-3x+2)

Now factor the quadratic in brackets:

x^2-3x+2\\ \\=x^2-2x-x+2\\ \\=x(x-2)-(x-2)\\ \\=(x-2)(x-1)

Hence,

f(x)=(x-5)(x-2)(x-1)

The x-intercepts are points at which y = 0, so

(x-5)(x-2)(x-1)=0\\ \\x-5=0\ \text{or}\ x-2=0\ \text{or}\ x-1=0\\ \\x=5\ \text{or}\ x=2\ \text{or}\ x=1

The y-intercepts are points at which x = 0, so

y=0^3-8\cdot 0^2+17\cdot 0-10=-10

4 0
2 years ago
Read 2 more answers
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