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Ugo [173]
2 years ago
12

Find the measure of angle 1

Mathematics
1 answer:
kolbaska11 [484]2 years ago
3 0

Answer:

44°

Step-by-step explanation:

8x - 4 = 6x + 8 (This is because they are corresponding angles)

8x - 6x = 8 + 4

2x = 12

x = 12 ÷ 2

x = 6

6x + 8 = angle 1 (Vertically opposite angles are equal)

Substitute the value of x in the equation '6x +8' to get the size of the angle.

6 × 6 + 8

36 + 8 = 44°

Angle 1  =  44°

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Write the decimal 0.8¯¯¯ as a fraction in simplest form.
denis23 [38]

Answer: 4/5

Step-by-step explanation:

0.8 is 8 tenths which is 8/10 in fraction form

8/10 with both sides divided by two is 4/5

hope this helps u

4 0
3 years ago
A number is chosen at random from the positive, even integers from 2 to 50. Find the probability that the numbe
user100 [1]

Numbers divisible by 5 from 2 to 50 is 10 and numbers divisible by 8 from 2 to 50 is 6 ,therefore 6+ 10 =16 making 16/50 =8/25

8 0
3 years ago
How many students can sit around a cluster of 7 square table? The tables in a classroom have square tops. Four students can comf
Sveta_85 [38]

Answer:

16 students can sit around a cluster of 7 square table.

Step-by-step explanation:

Consider the provided information.

We need to find how many students can sit around a cluster of 7 square table.

The tables in a classroom have square tops.

Four students can comfortably sit at each table with ample working space.

If we put the tables together in cluster it will look as shown in figure.

From the pattern we can observe that:

Number of square table in each cluster   Total number of students

                     1                                                                 4

                     2                                                                6

                     3                                                                8

                     4                                                                10

                     5                                                                12

                     6                                                                14

                     7                                                                16

Hence, 16 students can sit around a cluster of 7 square table.

8 0
3 years ago
Read 2 more answers
Find dy/dx by implicit differentiation for ycos(x)=xcos(y)
alekssr [168]

Answer:

dy/dx = (cos y + y sin x) / (cos x + x sin y)

Step-by-step explanation:

y cos x = x cos y

y (-sin x) + dy/dx cos x = x (-sin y dy/dx) + cos y

-y sin x + dy/dx cos x = -x sin y dy/dx + cos y

dy/dx (cos x + x sin y) = cos y + y sin x

dy/dx = (cos y + y sin x) / (cos x + x sin y)

5 0
3 years ago
Given: circle k(O), m<br> LM<br> = 164°<br> m<br> WK<br> = 68°, m∠MLK = 65°<br> Find: m∠LMW
Semenov [28]

Let P be a point outside the circle such that triangle LMP has legs coincident with chords MW and LK (i.e. M, W, and P are colinear, and L, K, and P are colinear). By the intersecting secants theorem,

m\angle LPM=\dfrac{m\widehat{LM}-m\widehat{WK}}2\impliesm\angle LPM=48^\circ

The angles in any triangle add to 180 degrees in measure, and \angle MLK\congruent\angle MLP and m\angle LMW=m\angle LMP, so that

m\angle MLK+m\angle LPM+m\angle LMP=180^\circ

\implies\boxed{m\angle LMW=67^\circ}

6 0
3 years ago
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