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Kipish [7]
3 years ago
8

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:

1

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

or

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
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