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Mathematics

1 answer:

Ann [662]3 years ago

8 0

Answer:

6. Not similar.

7. Not similar.

8. Not similar.

Step-by-step explanation:

6. Reduce all ratios to simplest form 16:20 = 4:5 ; 12:15 = 4:5 ; 20:26 = 10:13 not all of the sides follow the same ratio, so the triangles are not similar.

7. None of the side lengths are shown. You can find the missing angles of the triangle however, only one of the angles is congruent to the other, so the triangles are not similar.

8. We know that 2 of the sides of each triangle are congruent, and the angle in between the sides are also congruent, which follows the SAS similarity conjecture. However, given that the sides are congruent, not similar in ratio, I can conclude that the triangles are congruent, not similar.

PS. It would mean the world to me if you could mark me brainliest!

Side note- I am not a professional, I just have done this a few months in the past! Best of luck!

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Estimate the radius of the object

Anvisha [2.4K]

Answer:

r = 1.41 mm

Step-by-step explanation:

Given that,

The circumference of the flower, C = 8.9 mm

We need to find its radius. We know that,

Circumference, $C=2\pi r$

Where

r is the radius of the object

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7 0

3 years ago

Which description best compares the graph of y-3=-2(×+4)andy=-2×_5

rjkz [21]

Rewrite the first function so that the two functions are in standard form:

y - 3 = -2x - 8 => y = 3 - 2x - 8 => y = -2x - 5

and

y= -2x - 5

We can now see immediately that these two functions have the same slope (-2) and same y-intercept (providing that you meant "y = -2x - 5).

The graphs of these 2 functions are identical.

4 0

3 years ago

Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore, and recorded number of pages in each textboo

jeka94

Answer:

y = -0.85 + 0.09x; $49.82

Step-by-step explanation:

1. Calculate Σx, Σy, Σxy, and Σx²

The calculation is tedious but not difficult.

$\begin{array}{rrrr}\mathbf{x} & \mathbf{y} & \mathbf{xy} & \mathbf{x^{2}}\\526 & 52.08 & 27394.08 & 276676\\625& 59.00 & 36875.00 &390625\\589 & 56.12 & 33054.68 & 346921\\409 & 25.72 & 10519.48 & 167281\\489 & 34.12& 16684.68 & 293121\\500 & 53.00 & 26500.00 &250000\\906 & 76.48 & 71102.88 & 820836\\251 &26.08 & 6546.08 & 63001\\595 & 50.60 & 30107.00 & 354025\\719 & 68.52 & 49265.88 & 516961\\\mathbf{5609} & \mathbf{503.72} &\mathbf{308049.76} & \mathbf{3425447}\\\end{array}$

2. Calculate the coefficients in the regression equation

$a = \dfrac{\sum y \sum x^{2} - \sum x \sum xy}{n\sum x^{2}- \left (\sum x\right )^{2}} = \dfrac{503.7 \times 3425447 - 5609 \times 308049.76}{10 \times 3425447- 5609^{2}}\\\\= \dfrac{1725466163 - 1727851103.84}{34254470 - 31460881} = -\dfrac{2384941}{2793589}= \mathbf{-0.8537}$

$b = \dfrac{n\sumx y - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}} = \dfrac{3080498 - 2825365.48}{2793589} = \dfrac{255132}{2793589} = \mathbf{0.09133}$