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Basile [38]
3 years ago
11

One fifth the total of a number and 4 is 2, find the number

Mathematics
1 answer:
Afina-wow [57]3 years ago
4 0

Answer:

-10

Step-by-step explanation:

(1/5)x+4=2

5(1/5)x+4=2)

x+20=10

x = -10

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Amiraneli [1.4K]

Answer: 6. 113.398  7.  354.882  8. 4.82803

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Step-by-step explanation:

7 0
3 years ago
A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards. A card is chosen at random from the box. What is the proba
Ivanshal [37]

The probability that the card is not yellow is \frac{5}{9}

<em><u>Solution:</u></em>

<em><u>The probability of an event is given as:</u></em>

Probability = \frac{ \text{ number of favorable outcomes }}{ \text{ total number of possible outcomes }}

From given,

A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards

Total number of possible outcomes = 8 + 8 + 2 = 18

Favorable outcome = card is not yellow

Favorable outcome = card is blue or green = 8 + 2 = 10

Therefore,

Probability = \frac{10}{18}\\\\Probability = \frac{5}{9}

Thus the probability that the card is not yellow is 5/9

8 0
3 years ago
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zhannawk [14.2K]

Answer:

71°

Step-by-step explanation:

BDH is a triangle (as seen on figure)

<BDH + <DBH = <DHE ( Sum of two interior angles of a triangle is equal to the opposite exterior angle)

40° + 31° = X

X = 71°

7 0
3 years ago
Use an algebraic equation to find the measure of each angle that is represented in terms of x.
GuDViN [60]

The measure of each angle is 117°

Explanation:

Given that the two angles are (11x-26)° and (7x+26)°

We need to determine the measure of each angle.

<u>Measure of angles:</u>

From the figure, it is obvious that the two angles are vertically opposite angles.

By definition, we know that, the vertically opposite angles are always equal.

To determine the measure of each angle, we shall first find the value of x.

Thus, we have,

11x-26=7x+26

 4x-26=26

        4x=52

          x=13

Thus, the value of x is 13

Now, substituting x=13 in the angle (11x-26)°, we get,

(11(13)-26)^{\circ}=(143-26)^{\circ}

                    =117^{\circ}

The measure of the angle is 117°

Similarly, substituting x=13 in the angle (7x+26)°, we get,

(7x+26)^{\circ}=(7(13)+26)^{\circ}

               =117^{\circ}

The measure of the angle is 117°

Hence, the measure of each angle is 117°

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3 years ago
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