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viva [34]
3 years ago
7

Find the measure of the missing angles.

Mathematics
1 answer:
Verdich [7]3 years ago
6 0

Answer:

x = 57                y = 137

Step-by-step explanation:

x + 43 + 90 = 180

x + 43 + 90 - 90 = 180 - 90

x + 43 = 90

x + 43 - 43 = 90 - 43

x = 57

43 + y = 180

43 + y - 43 = 180 - 43

y = 137

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A rumor spreads among a group of 400 people. The number of people, N(t), who have heard the rumor by the time t in hours since t
Sindrei [870]

Answer:

  about 15 hours

Step-by-step explanation:

You want to find t such that N(t)=200. Fill in the equation with that information and solve for t.

  200 = 400/(1 +399e^(-0.4t))

  1 +399e^(-0.4t) = 400/200 = 2 . . . . . multiply by (1+399e^(-0.4t))/200

  399e^(-0.4t) = 1 . . . . . . . . . . . . . . . . . . subtract 1

  e^(-0.4t) = 1/399 . . . . . . . . . . . . . . . . . .divide by 399

  -0.4t = ln(1/399) . . . . . . . take the natural log

  t = ln(399)/0.4 ≈ 14.972 . . . . . . . divide by -0.4, simplify

Rounded to tenths, it will take 15.0 hours for half the people to have heard the rumor.

3 0
4 years ago
What is the measure of angle VYZ
irakobra [83]

Answer:

\boxed{\sf C. \ 161 ^{ \circ}}

Step-by-step explanation:

<em>Opposite angles are also congruent angles, meaning they are equal or have the same measurement.</em>

\sf \implies \angle VYZ = \angle WYT \\  \\  \sf \implies(8x  + 1) ^{ \circ}  = (9x  - 19)^{ \circ}  \\  \\  \sf \implies 8x^{ \circ}  + 1^{ \circ}  = 9x^{ \circ}  - 19^{ \circ}  \\  \\  \sf \implies 8x^{ \circ}  - 9x^{ \circ}   + 1^{ \circ} =  - 19^{ \circ}  \\  \\  \sf \implies  - x^{ \circ}   =  - 19^{ \circ}   -   1^{ \circ}  \\  \\  \sf \implies  \cancel{ -} x^{ \circ}   =   \cancel{- }20^{ \circ}    \\  \\  \sf \implies   x^{ \circ}   =  20^{ \circ}

\therefore

\sf \implies \angle VYZ =(8x + 1) ^{ \circ}  \\  \\  \sf \implies \angle VYZ =(8  \times 20 + 1) ^{ \circ}  \\  \\  \sf \implies \angle VYZ =( 160+ 1) ^{ \circ}  \\  \\  \sf \implies \angle VYZ =161 ^{ \circ}

7 0
3 years ago
State the property or properties illustrated by the statement.<br><br> 5.<br> 23 + = 23
Ksju [112]

Answer:

23 + 0

Step-by-step explanation:

calculator

3 0
3 years ago
Cottage cheese is being sold in different size containers. The sizes and prices are given below: 4 - 5 ounce containers for $5.
Karolina [17]

Division is the process of finding the number of times a number is multiplied by itself. The 16-ounce container is the better buy.

<h3>What is Division?</h3>

The division is the process of finding the number of times a number is multiplied by itself.

The prices of the different size containers are given to us,

4-5 ounce containers for $5. 00

1-12 ounce container for $3. 24

1-16 ounce container for $4. 19

Now, find the cost of the cheese per ounce when we buy the minimum cheese and when we but the maximum amount of cheese.

1.   For the first Container, 4-5 ounce containers for $5.00

If we buy 4 ounces of cheese, then the cost of each ounce of cheese will be $1.25 for each ounce, while if we buy the maximum amount of cheese therefore 5 ounces for $5 then the cost of each ounce of cheese will be $1.

2.  For, the second container, 1-12 ounce container for $3.24

If we buy 1 ounce of cheese, then the cost of each ounce of cheese will be $3.24 for each ounce, while if we buy the maximum amount of cheese therefore 5 ounces for $5 then the cost of each ounce of cheese will be $0.27.

3.  For, the third container, 1-16 ounce container for $4.19.

If we buy 1 ounce of cheese, then the cost of each ounce of cheese will be $4.19 for each ounce, while if we buy the maximum amount of cheese therefore 16 ounces for $4.19 then the cost of each ounce of cheese will be $0.26.

Thus, if we buy the maximum amount of cheese from each of the boxes, the third box will be the cheapest.

Hence, The 16-ounce container is the better buy.

Learn more about Division:

brainly.com/question/369266

3 0
2 years ago
5x0x6x7x8x9x8x7x6x5x5x6x8x9x0x999x77776665-00000
svetlana [45]
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4 0
4 years ago
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