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2 years ago

Is ABC ~ DEF? If so, name which similarity postulate or theorem applies?

Mathematics

2 answers:

ch4aika [34]2 years ago

6 0

It’s either A A or sad

Margarita [4]2 years ago

3 0

These triangles are similar because 2 pairs of angles are equal. I'm not very familiar with the acronyms in the list but I guess it must be AA.

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the jellybean jar has a radius of 4.8 cm and a height of 11.8 cm. what would be a reasonable lower limit for the number of jelly

azamat

Answer:

$\large\boxed{\large\boxed{100}}$

Explanation:

This question comes with four answer choices:

10,000
100,000
100
1

You just need to find a rough estimate of the volume of the jar and the volume of one jelly bean. This is called magnitude order.

The jellybean jar is cylindrical, Thus, its volume is $\pi \times radius^2\times height$

To find the order of magnitude, you just use the numbers rounded to one signficant figure: round π to 3, the radius to 5, cm, and the height to 10:

$Volume\approx 3cm\times (5cm)^2\times10cm=750cm^3\approx1,000cm^3$

The order of magnitude for the radius of a jellybean is 1 cm. And the order of magnitude of the volume of a sphere with a radius of 1 cm is the cube of the diameter (2cm):

$(2cm)^3=8cm^3\approx10cm^3$

Hence, a reasonable lower limit for the number of jellybeans in the jar is:

$1,000cm^3/10cm^3=100$

7 0

2 years ago

Complete the equation of the line through (2,-2)(2,−2)left parenthesis, 2, comma, minus, 2, right parenthesis and (4,1)(4,1)left

Daniel [21]

Answer:

$y=\frac{3}{2}x-5$

Step-by-step explanation:

There are a couple of ways to solve this, depending on what you already know.

Point-Slope Form

$y-y_1=m(x-x_1)$ where m is the slope and $(x_1, y_1)$ is a point on the line.

First, calculate the slope using the two given points $(x_1, y_1), (x_2, y_2)$ .

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{1-(-2)}{4-2}=\frac{3}{2}$ .

Fill in the point-slope pattern

$y-(-2)=\frac{3}{2}(x-2) \\ y+2=\frac{3}{2}x-3 \\ y=\frac{3}{2}x-5$

There's the equation in slope-intercept form ( $y=mx+b$ ).

Slope-Intercept Form

Use $y=mx+b$ directly.

Find the slope just like the above, so $m=\frac{3}{2}$ .

Now, plug one of the points (either one!) together with m into

$y=mx+b\\-2=\frac{3}{2}(2)+b \\ -2=3+b \\ b=-5$

Now you know the value of b, so the equation for the line is

$y=\frac{3}{2}x-5$

3 0

2 years ago

Amanda and Alexis live 4 miles apart. They decide to start walking toward each other’s houses at the same time. Amanda walks at

pishuonlain [190]

Answer:

t = 0.53 hr

Step-by-step explanation:

We write expressions for the distances walked by these two people, sum them up and set the sum equal to 4 miles:

(3.5 mph)(t) + (4mph)(t) = 4 mi

Combining these terms:

(7.5 mph)(t) = 4 mi

4 mi

Solving for t: t = ---------------- = 0.53 hr

7.5 mph

5 0

1 year ago

Solve for x in the equation x squared minus 12 x + 36 = 90. x = 6 plus-or-minus 3 StartRoot 10 EndRoot x = 6 plus-or-minus 2 Sta

goldenfox [79]

Answer: x = 6 plus-or-minus 3 StartRoot 10

Step-by-step explanation:

The given quadratic equation is expressed as

x² - 12x + 36 = 90

Rearranging the equation so that it takes the the standard form of

ax² + bx + c, it becomes

x² - 12x + 36 - 90 = 0

x² - 12x - 54 = 0

The general formula for solving quadratic equations is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 1

b = - 12

c = - 54

Therefore,

x = [- - 12 ± √(- 12² - 4 × 1 × - 54)]/2 × 1

x = [12 ± √(144 + 216)]/2

x = [12 ± √360]/2

x = (12 ± 6√10)/2

x = 6 + 3√10

3 0

2 years ago

Read 2 more answers

The picture below shows a right-triangle-shaped charging stand for a gaming system: The side face of a charging stand is a right

mamaluj [8]

Answer:

AB = 8/ cos 60

Step-by-step explanation:

We want to find the hypotenuse AB

Since we have a right triangle

cos theta = adj/ hyp

cos 60 = 8/ AB

AB cos 60 = 8

AB = 8/ cos 60

3 0

2 years ago