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uranmaximum [27]
2 years ago
12

Find the value of x.m<2= x + 85​

Mathematics
2 answers:
kramer2 years ago
6 0
<h3>Answer:  x = -9</h3>

=========================================================

Explanation:

Refer to the diagram below.

I've added the points A,B,C,D,E, and F to help set up the angles.

I've marked angle 2 as the variable y, which is angle DBA. I've also added in the variable w to help fill out triangle DBA. Those two remaining angles are congruent due to the congruent sides AB = DB. They are the base angles. Triangle DBA is isosceles.

Right next to angle DAB is angle CAB. These two angles combine to form the 90 degree angle. So that's where the 90-w comes from when setting up angle CAB. We have another isosceles triangle, so angles CAB and ACB are congruent.

Next, we can see that angles ACB and ECF are vertical angles. That makes them congruent and we can solve for w like so:

angle ACB = angle ECF

90 - w = 38

-w = 38-90

-w = -52

w = 52

---------------------

Now focus on triangle DBA again. The three angles add to 180, so,

w+y+w = 180

2w+y = 180

y = 180-2w

y = 180-2*52

y = 180-104

y = 76

This is the measure of angle 2. We have one more step left.

--------------------

Since we now know the measure of angle 2, we can use this to find x

angle 2 = 76 degrees

angle 2 = x+85

x+85 = 76

x = 76 - 85

x = -9

Sav [38]2 years ago
3 0

Answer:

  • x = - 9

Step-by-step explanation:

<h3>Solution 1</h3>

The both triangles are marked as isosceles.

The bottom triangle

<u>Missing angles are same:</u>

  • 1/2(180 - x - 85) = 1/2(95 - x)

The top triangle

The equal angles measure 38° as one of them is vertically opposite to 38° angle.

On the other hand same angle is complementary with the one we found above (together forming a right angle).

<u>So we have:</u>

  • 1/2(95 - x) + 38 = 90
  • 1/2(95 - x) = 52
  • 95 - x = 104
  • x = 95 - 104
  • x = - 9
<h3>Solution 2</h3>

The angle 2 is the exterior angle of the top triangle.

The non-adjacent interior angles are equal to each other and same as vertical angle of the top vertex, 38°.

  • m∠2 = 2*38° = 76°

<u>Also we have:</u>

  • m∠2 = x + 85

<u>Compare and solve for x:</u>

  • x + 85 = 76
  • x = 76 - 85
  • x = -9

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riadik2000 [5.3K]

Answer:

<h2>See the explanation.</h2>

Step-by-step explanation:

(a)

\left[\begin{array}{cccc}T&H&S&P\\S&600&1300&2000\\L&400&300&400\end{array}\right] = A.

In the above matrix A, the columns refers the three type of books and the rows refers the from which stores the books are been sold.

The numbers represents the corresponding sales in the month of January.

The sale is same for the 6 months.

Hence, 6A = \left[\begin{array}{cccc}T&H&S&P\\S&3600&7800&12000\\L&2400&1800&2400\end{array}\right]. This matrix 6A represents the total sales over the 6 months.

(b)

If we denote the books in stock at the starting of January by B, then

B = \left[\begin{array}{cccc}T&H&S&P\\S&1000&3000&6000\\L&1000&6000&3000\end{array}\right].

Each month, the chain restocked the stores from its warehouse by shipping 500 hardcover, 1,400 softcover, and 1,400 plastic books to San Francisco and 500 hardcover, 500 softcover, and 500 plastic books to Los Angeles.

If we represent the amount restocked books at the end of each month by another matrix C, then

C = \left[\begin{array}{cccc}T&H&S&P\\S&500&1400&1400\\L&500&500&500\end{array}\right].

This restocking will be done for 5 times before the end of June.

If there would be no sale, then the stock would be

B + 5C = \left[\begin{array}{cccc}T&H&S&P\\S&1000+2500&3000+7000&6000+7000\\L&1000+2500&6000+2500&3000+2500\end{array}\right] \\= \left[\begin{array}{cccc}T&H&S&P\\S&3500&10000&13000\\L&3500&8500&5500\end{array}\right].

Since, the total sale is given by 6A, at the end of June, the inventory in each store can be shown as following,

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6 0
3 years ago
I need help please.
aev [14]

Answer:

76.8 inches

Step-by-step explanation:

we have :

1m= 39.37 inches

1.95m =?

we can write:

(1.95m*39.37 inches)/1m=

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so finally we have:

1.95m = 76.8 inches

7 0
3 years ago
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lesya692 [45]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{25 \: units}}}}}

Step-by-step explanation:

Let M ( 9 , -5 ) be ( x₁ , y₁ ) and N ( - 11 , 10 ) be ( x₂ , y₂ )

<u>Finding</u><u> </u><u>the </u><u>distance </u><u>between</u><u> </u><u>these</u><u> </u><u>points</u>

\boxed{ \sf{distance =  \sqrt{ {(x2 - x1)}^{2} +  {(y2 - y1)}^{2}  } }}

\longrightarrow{ \sf{ \sqrt{ {( - 11 - 9)}^{2}  +  {(10 - ( - 5))}^{2} } }}

\longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2} +  {(10 + 5)}^{2}  } }}

\longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2}  +  {(15)}^{2} } }}

\longrightarrow{ \sf{ \sqrt{400 + 225}}}

\longrightarrow{ \sf{ \sqrt{625}}}

\longrightarrow{ \sf{ \sqrt{ {(25)}^{2} } }}

\longrightarrow{ \sf{25 \: units}}

Hope I helped!

Best regards! :D

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3 years ago
*PLS HELP!!* {The Picture Is In The Attachment}​
ivann1987 [24]

Answer:

Step-by-step explanation:

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∠3 =130

⇒∠1 = ∠3 = 130

3 0
2 years ago
Read 2 more answers
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