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Ann [662]
2 years ago
13

I NEED HELP ASAP AWARD BRAINLIEST

Mathematics
2 answers:
kvv77 [185]2 years ago
6 0

The value of x from the given diagram is 17

<h2>Vertically opposite angles</h2>

From the given diagram, m<2 and m<3 are vertically opposite since they form angles from the intersection of lines at the point X

Given that;

  • m<2 = 4x + 2
  • m<3 = 5x - 15

Equate both expressions to have:

m<2 = m<3

4x + 2 = 5x - 15

4x - 5x = -15 - 2

-x = -17

x = 17

Hence the value of x from the given diagram is 17.

Learn more on vertical angles here; brainly.com/question/1673457

laila [671]2 years ago
3 0

Step-by-step explanation:

{\huge{\underline{\bf{\pink{thanks}}}}}

what I can help you

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3 years ago
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topjm [15]

Answer:

Step-by-step explanation:

Sweet. Get to answer finally. I was the guy commenting on your other post.

1. 72

2. 46

3. 99

4. Same side interior angles are supplementary

5. alternate interior angles are equal to each other so set up the x expressions equal to each other. 5x-7=3x+17. Solve for x

5x-7=3x+17

2x=24

x=12

plug it in for the 5x-7 and get an angle.. 5(12)-7

60-7

53.

The 5x-7 and the 4y+3 is supplementary.

so 53+3+4y=180. combine the 2 and set them equal to 180 to find y

56+4y=180

124=4y

y=31

And now we find the angle of 6. We know that corresponding angles are equal and the y expression and angle 6 are corresponding angles

so plug in your answer for y in the expression..

4(31)+3 = 127.

so angle 6 is 127

6 0
2 years ago
Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 50 mi in clear weather and then encounters a thu
cluponka [151]

Answer:

<em>Her speed driving in nice weather is 50 mph and in thunderstorm is 32 mph.</em>

Step-by-step explanation:

Barbara drives 50 miles in clear weather and then encounters a thunderstorm for the last 16 miles.

Suppose, her speed in nice weather is  x mph.

As she drives 18 mph slower through the thunderstorm than she does in clear weather, so her speed in thunderstorm will be: (x-18) mph

<u>We know that,</u>  Time = \frac{Distance}{Speed}

So, <u>the time of driving in clear weather</u> =\frac{50}{x} hours

and <u>the time of driving in thunderstorm</u> =\frac{16}{x-18} hours.

Given that, <u>the total time for the trip is 1.5 hours</u>. So, the equation will be......

\frac{50}{x}+ \frac{16}{x-18}=1.5 \\ \\ \frac{50x-900+16x}{x(x-18)}=1.5\\ \\ \frac{66x-900}{x(x-18)}=1.5 \\ \\ 1.5x(x-18)=66x-900\\ \\ 1.5x^2-27x=66x-900\\ \\ 1.5x^2-93x+900=0\\ \\ 1.5(x^2 -62x+600)=0\\ \\ x^2 -62x+600=0\\ \\ (x-50)(x-12)=0

Using zero-product property.........

x-50=0\\ x=50\\ \\ and\\ \\ x-12=0\\ x=12

<em>We need to ignore x=12 here, otherwise the speed in thunderstorm will become negative.</em>

So, her speed driving in nice weather is 50 mph and her speed driving in thunderstorm is (50-18) = 32 mph

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The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and thre
eimsori [14]

Answer:

See Explanation

Step-by-step explanation:

(Please Find Diagram in the attachment)⇒Answer Drawing is Given There.

According to the question,  

  • Given that, The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have concessions and restrooms.
  • Now, Arrange the structures in the sports complex using translations, reflections, and rotations so that the final arrangement satisfies each of these criteria:
  1. All the fields and buildings fit on the provided lot.
  2. Each field is adjacent to at least one building for ease of access.
  3. Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.)
  4. For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball field

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2 years ago
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