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ioda
2 years ago
14

The number of cookies in Orlando's jar, 20, is

Mathematics
1 answer:
HACTEHA [7]2 years ago
3 0

Answer:

refer to this attachment

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Given: AC bisects angle BCD , Angle ABC is congruent to angle ADC prove AB is congruent to AD. Help immediately
weeeeeb [17]

<em>AC bisects ∠BAD, => ∠BAC=∠CAD ..... (1)</em>

<em>thus in ΔABC and ΔADC,    ∠ABC=∠ADC (given), </em>

<em>                                       ∠BAC=∠CAD      [from (1)],</em>

<em>AC (opposite side side of ∠ABC) = AC (opposite side side of ∠ADC), the common side between ΔABC and ΔADC</em>

<em>Hence,      by AAS axiom, ΔABC ≅ ΔADC,</em>

<em>Therefore,  BC (opposite side side of ∠BAC) = DC (opposite side side of ∠CAD),  since (1)</em>

<em />

Hence, BC=DC proved.

7 0
3 years ago
Read 2 more answers
What did Tarzan like to play?
Mazyrski [523]

Answer:

Step-by-step explanation:

7 0
3 years ago
If 3 dice are rolled at the same time, what is the probability of all 3 dice showing even face
Bezzdna [24]
Total possible outcomes of 3 dice = 6 x 6 x 6 = 216

Total number of ways for all 3 to show even numbers:
222
224
226
242
244
246
262
264
266
.
.
etc.    There 27 of them.

Probability = 27 / 216 = <u>1/8</u> = 12.5 percent .
5 0
3 years ago
Sarah has 284 coins in a piggy bank with a total value of $22.78. Sarah has 173 pennies, 5 more dimes than nickels, the rest are
pickupchik [31]
Let P = number of coins of pennies (1 penny = 1 cent)
Let N = number of coins of nickels (1 nickel = 5 cents)
Let D = number of coins of dimes (1 dime = 10 cents)
Let Q = number of coins of quarters (1 quarter = 25 cents)

a) P + N + D + Q = 284 coins, but P = 173 coins, then:
173 + N + D + Q =284 coins
(1)  N + D + Q = 111 coins

b) D = N + 5 OR D - N =5 coins
(2) D - N = 5 coins

c) Let's find the VALUE in CENTS of (1) that is N + D + Q = 111 coins
5N + 10D + 25 Q = 2,278 - 173 (1 PENNY)
(3) 5N + 10D + 25Q = 2105 cents
Now we have 3 equation with 3 variables:

(1)  N + D + Q = 111 coins
(2) D - N = 5 coins
(3) 5N + 10D + 25Q = 2105 cents
Solving it gives:
17 coins N ( x 5 = 85 cents)
22 coins D ( x 10 = 220 cents)
72 coins D ( x 25 = 1,800 cents)
and 173 P,
proof:
that makes a total of 85+2201800+172 =2,278 c or $22.78




7 0
3 years ago
Nour and Rana are shopping for a Christmas tree. They are deciding between 222 different types of trees (real and fake) and 444
ioda

From what the statement says the question seems to be to represent the sample space of randomly choosing a type of tree and a color for the decorations

In this case, what we must do is identify the events that exist and the options that each event has, like this:

Event 1:

Tree type: real or fake

Event 2:

Colors for the ornaments: White (W), Silver (S), Gold (G) or Purple (P)

Since in an event there are 2 options and the other 4 options, the final number of options would be 2 * 4, that is, 8 options, represented below:

(real, W), (real, S), (real, G), (real, P), (fake, W), (fake, S), (fake, G), (fake, P)

The above would be the sample space of the events.

Now the probability of 1 coming out is 1 over the event total, or 1/8.

5 0
3 years ago
Read 2 more answers
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