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lora16 [44]
2 years ago
9

Checkpoint: Name 3 coterminal angles a. 20° b. -134° c. 657°

Mathematics
1 answer:
Orlov [11]2 years ago
4 0

Answer:

c

Step-by-step explanation:

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The square of the sum of 7 times x and 3 divided by 4 times the difference of c and 1
bija089 [108]
The second answer from the top is correct. Your original choice is incorrect because the 7x and the 3 are not both being squared as the statement suggests.
7 0
3 years ago
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What is the probability that a point chosen at random in the given figure will be inside the larger triangle and outside the sma
Anna007 [38]
Given:
Area of a triangle = (h*b) / 2

Area of smaller triangle = (4cm * 4cm) / 2 = 16cm² / 2 = 8 cm²
Area of larger triangle = (6cm * 10cm) / 2 = 60cm² / 2 = 30 cm²

30cm² - 8cm² = 22cm²

Probability that the point is inside the large triangle but outside the small triangle:

22cm² / 30cm² → 11/15 → 0.73 or 73%
4 0
2 years ago
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Prove that 5^7+5^6 is divisible by 6.
pishuonlain [190]

Answer:

The Proof for 5^{7}+5^{6}\ is\ divisible\ by\ 6 is below.

Step-by-step explanation:

To Prove:

5^{7}+5^{6}\ is\ divisible\ by\ 6

Proof:

We know law of indices

a^{m}.a^{n}=a^{m+n}

Therefore,

Step 1: Applying law of indices

\dfrac{5^{7}+5^{6}}{6}=\dfrac{5^{6}.5^{1}+5^{6}}{6}

Step 2: Taking common 5^{6} we get

\dfrac{5^{7}+5^{6}}{6}=5^{6}\times (\dfrac{5^{1}+1}{6})

Step 3: 5^{1} = 5 so add 5 + 1 we get

\dfrac{5^{7}+5^{6}}{6}=5^{6}\times \dfrac{6}{6}

Step 4: Cancel 6 from both denominator and numerator we get

\dfrac{5^{7}+5^{6}}{6}=5^{6}\times 1=5^{6} ...That is Divisible by 6 Proved

7 0
2 years ago
The product of two consecutive even integers is 48. Which equation can be used to find these integers?
Zigmanuir [339]
Since they are both even, let x and x + 2 be the integers.
x(x + 2) = 48
x² + 2x - 48 = 0
(x - 6)(x + 8) = 0

So, at x = 6 and x = -8.
So you can have 6 and 8 or -8 and -6 as your two integers.
7 0
3 years ago
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David went to the store and bought 3 candy bars for $2 each. David also bought 3 sodas. If he spent a total of $15, how much did
Eddi Din [679]
$9 on sodas
Since the candy bars are $2 each and he got 3 that equals 6 leaving 9 remaining
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2 years ago
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