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Snowcat [4.5K]
3 years ago
8

Find the value of x when m<2 = x + 64​

Mathematics
2 answers:
laila [671]3 years ago
8 0

Answer:

-9 = x

Step-by-step explanation:

Since this is an isosceles triangle, the <em>two</em> base angles are congruent, therefore you have this:

180° = 70° + 2[x + 64] \\ 180° = 70° + 2x + 128 \\  \\ 180 = 198 + 2x

- 198 - 198

___________________

-18 = 2x

___ __

2 2

-9 = x

I am joyous to assist you anytime.

polet [3.4K]3 years ago
5 0

Answer:

-9

Step-by-step explanation:

The triangle has two sides that are the same, so it is an isosceles triangle.  Therefore, the base angles are the same.

Angles of a triangle add up to 180°, so:

70 + (x + 64) + (x + 64) = 180

70 + 2x + 128 = 180

2x = -18

x = -9

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Three friends attended a carnival. John rode the rollercoaster twice, the bumper cars three times, and the Ferris wheel once. He
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Answer:

The system of equations is the option A

Step-by-step explanation:

Let

x ------> the number of tickets for the roller-coaster

y ------> the number of tickets for the bumper

z ------> the number of tickets for the Ferris wheel

we know that

The system of equations is equal to

<em>John</em>

2x+3y+z=42

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3x+y+2z=36

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x+2y+3z=32

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The system of equations is the option A

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Which number is equal to the expression 7 x 104 + 3 x 103 + 0 x 102 + 8 x 101 + 5 ?
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Step-by-step explanation:

Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10-9. So, how does this work?

We can think of 5.6 x 10-9 as the product of two numbers: 5.6 (the digit term) and 10-9 (the exponential term).

Here are some examples of scientific notation

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Thomas earns $8.75 per hour grooming dogs. He wants to go to the movies with a $50 this weekend. Which equation can he use to fi
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Answer:

8.75h = 50

Step-by-step explanation:

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There are 3 bags each containing 100 marbles. Bag 1 has 75 red and 25 blue marbles. Bag 2 has 60 red and 40 blue marbles. Bag 3
jekas [21]

Answer:

0.4 ; 0.6125

Step-by-step explanation:

Given the following :

Bag 1 : 75 red ; 25 blue

Bag 2: 60 red ; 40 blue

Bag 3: 45 red ; 55 blue

Probability = (required outcome / Total possible outcomes)

A) since the probability of choosing each bag is equal :

BAG A:

P(choosing bag A) = 1 / total number of bags = 1/3 ; P(choosing blue marble) = number of blue marbles / total number of marbles = 25/100

HENCE, choosing a blue marble from bag A : = (1/3 × 75/100) = 25/300

BAG B:

P(choosing bag B) = 1/3 ;

P(choosing blue marble) = number of blue marbles / total number of marbles = 40/100

HENCE, choosing a blue marble from bag A : = (1/3 × 40/100) = 40/300

BAG C:

P(choosing bag C) = 1/3

P(choosing blue marble) = number of blue marbles / total number of marbles = 55/100

HENCE, choosing a blue marble from bag A : = (1/3 × 55/100) = 55/300

= (25/300) × (40/300) × (55/300) = (25 + 40 + 55)/300 = 120/300 = 0.4

2) What is the probability that the marble is blue when the first bag is chosen with probability 0.5 and other bags with equal probability each?

BAG A:

P(choosing bag A) = 0.5 ; P(choosing blue marble) = number of blue marbles / total number of marbles = 25/100

HENCE, choosing a blue marble from bag A : = (0.5 × 75/100) = (0.5 * 0.75) = 0.375

BAG B:

P(choosing bag B) = (1-0.5) / 2 = 0.25 ;

P(choosing blue marble) = number of blue marbles / total number of marbles = 40/100

HENCE, choosing a blue marble from bag A : = (0.25 × 40/100) = (0.25 × 0.4) = 0.1

BAG C:

P(choosing bag C) = (1 - (0.5+0.25)) = 0.25

P(choosing blue marble) = number of blue marbles / total number of marbles = 55/100

HENCE, choosing a blue marble from bag A : = (0.25 × 55/100) = 0.25 × 0.55 = 0.1375

= 0.1375 + 0.1 + 0.375 = 0.6125

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