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hram777 [196]
3 years ago
11

Mrs. Morton has a special reward system for her class. When all her students behave well, she rewards them by putting 3marbles i

nto a marble jar. When the jar has 100 marbles or more, the class has a party. Right now, the jar contains 24 marbles.
Mathematics
1 answer:
storchak [24]3 years ago
4 0
This is a statement, not a question. 76 marbles are needed for another party if that's the question ;)
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3 years ago
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Which of the following statements could be used in the proof?
yulyashka [42]

Answer:

Option (3)

Step-by-step explanation:

To prove ΔULV ≅ ΔKLY,

                 Statements                    Reasons

1). VL ≅ LY                                1). Radii of a circle are equal

2). UL ≅ KL                              2). Radii of a circle are equal

3). ∠ULV ≅ ∠KLY                    3). Vertical angles are equal

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3 years ago
Given the line below.
geniusboy [140]

Answer:

The equation of the line in point slope form is equal to

y+2=(x+2)

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

step 1

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The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

(-2,-2) and (2,2)

substitute the values

m=\frac{2+2}{2+2}=1

step 2

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7 0
3 years ago
For what values of b are the vectors [−18, b, 9] and [b, b2, b] orthogonal? (Enter your answers as a comma-separated list. If an
bearhunter [10]

Answer:

Therefore the given vectors are orthogonal for b = 0,±3.

Step-by-step explanation:

If  \vec a and  \vec b are two vectors orthogonal, then the dot product of \vec a and \vec b will be zero.

i.e \vec a. \vec b =0

If  \vec a = x_1\hat i+y_1\hat j +z_1\hat k  and \vec b = x_2\hat i+y_2\hat j +z_2\hat k

\vec a. \vec b=( x_1\hat i+y_1\hat j +z_1\hat k).( x_2\hat i+y_2\hat j +z_2\hat k)

     =x_1 x_2+y_1y_2+z_1z_2

Given two vectors are (-18,b,9) and (b,b²,b)

Let

\vec P= -18 \hat i+b\hat j +9 \hat k

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Therefore,

\vec P.\vec Q

=( -18 \hat i+b\hat j +9 \hat k).( b \hat i+b^2 \hat j +b\hat k)

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Since \vec P and \vec Q are orthogonal. Then \vec P.\vec Q = 0.

Therefore,

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Therefore the given vectors are orthogonal for b = 0,±3.

8 0
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bagirrra123 [75]

Answer:

AM = 38

Step-by-step explanation:

Since A is the midpoint of JM, then

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3x = 21 ( divide both sides by 3 )

x = 7

Hence

AM = 6x - 4 = (6 × 7) - 4 = 42 - 4 = 38

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