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svet-max [94.6K]
3 years ago
7

Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process.

Mathematics
1 answer:
Llana [10]3 years ago
6 0

Sam's solution is incorrect. the correct answer is x=3


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Find the measure of the angle indicated. 6
deff fn [24]

Answer:

1) m∠U = 90°

2) m∠C = 80°

Step-by-step explanation:

1) The given figure is a quadrilateral

The sum of the interior angles of  quadrilateral = 360°

∴ The sum of the interior angles of the given figure = 360°

Therefore, we have;

80° + 24·x + 4 + 6 + 21·x + 90° = 360°

80° + 45·x + 10  + 90° = 360°

x = (360°- (80° + 10° + 90°))/45 = 4

x = 4

m∠U = 6 + 21·x = 6 + 21 × 4 = 90

m∠U = 90°

2) The sum of the interior angles of the given quadrilateral = 360°

∴ 21·x + 6 + 20·x + 24·x + 4 + 21·x + 6 = 360°

86·x + 16 = 360°

x = (360° - 16°)/86 = 4

x = 4

m∠C = 20·x = 20 × 4 = 80

m∠C = 80°

3) In the figure, some angles are left out, therefore, more information on the remaining angles required

6 0
3 years ago
A place kicker in pro football has a 77% probability of making a field goal over 40 yards, and each attempted field goal is inde
Mice21 [21]

The probability that the team will win the sport is 77%.

Given that an area kicker in pro football incorporates a 77% probability of creating a field goal over 40 yards and every attempt field goal is independent.

Probability is how something is likely to happen. The probability of a happening is calculated by the probability formula by simply dividing the favorable number of outcomes by the overall number of possible outcomes.

So, his team will win the sport if he makes a goal otherwise loses.

Therefore, the Probability that his team will win the sport P[E] =P[making a field goal]

P[E]=77%

Hence, the probability that the team will win the sport when making a field goal is 77%.

Learn more about probability from here brainly.com/question/993963

#SPJ4

7 0
2 years ago
Subtract. (4/5p+1/2)-(1/4p-3) <br><br> A: 21/20p-5/2 <br><br> B: 1/5p-7/2 <br><br> C: 11/20p+7/2
Leto [7]

Answer:

A

Step-by-step explanation:

I think it's A because it mostly multiplies then adds and subtracts so you get your answer doing this

8 0
2 years ago
Evaluate 4a-3b when a=5 and b=-2
den301095 [7]
4a - 3b

4(5) - 3(- 2)
20 + 6
26

26 is your answer. 
6 0
3 years ago
Read 2 more answers
Someone Please Help Me On This
luda_lava [24]
1) 18
2) 4
3) 27
4) 9
5) x=8
6) x=6
8 0
2 years ago
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