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vladimir2022 [97]
3 years ago
5

The angles below are supplementary. What is the value of x?

Mathematics
1 answer:
insens350 [35]3 years ago
6 0

Answer:

see the attached picture please

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Herbert has sold 99, 37, 86, and 73 copeirs in the last 4 months, respectivly. How many copiers will he need to sell this month
jolli1 [7]

Answer:

Therefore 80 ceperies will he need to sell this month.

Step-by-step explanation:

Average: Average is the ratio of sum of all numbers to the total number present in the data.

Given that Herbert has sold 99, 37, 86 and 73 copeirs in the last 4 months.

Let he need to sell x copeirs in this month.

According to the problem,

\frac{99+37+86+73+x}{5}=75

⇒ 99+37+86+73+x= 75×5

⇒295 + x= 375

⇒x = 375 - 295

⇒ x= 80

Therefore 80 ceperies will he need to sell this month.

3 0
3 years ago
Jace and Ellie are helping their friend Oliver move: Jace can move one box for every two boxes does Elle can move five boxes how
Simora [160]

Answer:

Two.

Step-by-step explanation:

If Ellie moves five boxes, and Jace can move one for every two Ellie moves, Jace can move two boxes.

3 0
2 years ago
How many 8’s are in 145
Dennis_Churaev [7]
15 8's. 8,18,28,38,48,58,68,78,88,98,108,118,128,138
5 0
3 years ago
Length of shawdow of building 32m. The distance from the top to the tip of the shadow is 38m . find the height of the building
nalin [4]

Answer:

20.49 feet to the nearest hundredth.

Step-by-step explanation:

Using the Pythagoras Theorem:

38^2 = h^2 + 32^2

h^2 = 38^2 - 32^2

h^2 = 420

h = √420

h = 20.494 m.

3 0
3 years ago
Read 2 more answers
The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65°E and the two towers are 30 kilometers apart. A
Novay_Z [31]

Answer:

The distance of fire from Pine Knob fire tower is 42.43 km

The distance of fire from Colt Station fire tower is 15.53 km

Step-by-step explanation:

Consider point A as Pine Knob fire tower and Point B as Colt Station fire tower. So the distance between both towers that is AB is 30 km.  

Now both fire tower  are located at a bearing of N65°E. That is at point A from north, Colt station fire tower is located at an angle of 65° towards east.

From ranger on Pine knob tower, fire spotted makes bearing of N80°E. That is at point A from north fire is located at an angle of 80° towards east.

Similarly, from ranger on Pine knob tower, fire spotted makes bearing of S70°E. That is at point B from south fire is located at an angle of 70° towards east.  

Now calculate \theta_{1}=\angle BAC and \theta_{2}=\angle ABD as follows,  

For \theta_{1}=\angle BAC

\angle XAC=\angle XAB+\angle BAC

\therefore 80\degree=65\degree+\angle BAC

\therefore \angle BAC=15\degree

For \theta_{2}=\angle ABD

By using alternate angle property,

\ angle XAB =\angle ABD=65\degree

Refer attachment 1.  

From diagram consider the triangle ABC. To find the third angle that is \angle BAC can be calculated by using angle sum property of triangle.  

\angle BAC+\angle ABC+\angle BCA=180\degree

\therefore15\degree +135\degree +\angle BCA=180\degree

\therefore \angle BCA=30\degree

Refer attachment 2.  

Sine rule for the \Delta ABCcan be applied as follows,  

\ddfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}

Substituting the values,

\dfrac{\sin 15}{a}=\dfrac{\sin 135}{b}=\dfrac{\sin 30}{30}

Now distance AC and BC can be calculated as follows,  

For distance AC,  

\dfrac{\sin 135}{b}=\dfrac{\sin 30}{30}

Cross multiplying,  

30\times\sin 135=b\times\sin 30

\dfrac{30\times \sin 135}{\sin 30}=b

b=42.43\:km

The distance of fire from Pine Knob fire tower is 42.43 km

For distance BC,  

\dfrac{\sin 15}{a}=\dfrac{\sin 135}{42.43}

Cross multiplying,  

42.43\times\sin 15=a\times\sin 135

\dfrac{42.43\times \sin 15}{\sin 135}=a

a=15.53\:km

The distance of fire from Pine Knob fire tower is 15.53 km

6 0
3 years ago
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