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3 years ago

Which triangles are similar by the angle-angle criterion for similarity of triangles ?

Mathematics

1 answer:

Alex Ar [27]3 years ago

5 0

Answer:

Option D is correct.

$\triangle ADE \sim \triangle ABC$

Step-by-step explanation:

In triangle ADE and triangle ABC

From the figure:

$\angle ADE = \angle ABE$ [Angle] [Given]

$\angle DAE = \angle BAC$ [Angle]

AA(Angle-Angle) similarity criterion states that in two triangles if two pairs of corresponding angles are equal, then these triangle Similar.

By AA similarity:

⇒ $\triangle ADE \sim \triangle ABC$

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How many places do you need to move the decimal to the left to write the number below in scientific notation? 60000000000

garik1379 [7]

60,000,000,000 in scientific notation is 6 x 10^10 so you move the decimal 10 times.

8 0

3 years ago

Can someone please help me :(

olchik [2.2K]

Answer:

Step-by-step explanation:

2x + 1 = -3x + 6

add 3x

5x + 1 = 6

subtract 1

5x=5

Divide by 5

x=1

If this is correct, please mark brainliest!

4 0

3 years ago

Read 2 more answers

Rewrite this percent as a decimal:<br> 80%

ella [17]

Answer:

.80

0.80

Step-by-step explanation:

80 is out of 100, which is other words is .80 or 0.80

6 0

3 years ago

Use a matrix to solve the system:

Romashka-Z-Leto [24]

Answer:

(2.83 , 1 , 4)

Step-by-step explanation:

$2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\$

Rewrite these equations in matrix form

$\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\$

we can write it like this,

$AX=B\\X=A^{-1}B$

so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.

We get the inverse of matrix A,

$A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right] \\$

now multiply the matrix with B

$X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\$

4 0

3 years ago

From 12,000 graphing calculators produced by a manufacturer, an inspector selects a random sample of 550 calculators and finds

maria [59]

Answer:

131

Step-by-step explanation:

Using proportion,

If Out of 550 calculators = 6 are defective,

Then out of 12000 calculators = ? are defective

$\frac{12000 calculators}{550calculators} * 6$

= 21.8 * 6

= 130.8 ≈ 131

∴ Approximately 131 calculators are defective

3 0

3 years ago