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jarptica [38.1K]
2 years ago
8

the sum of the angle measures triangle is 180⁰ find the measures of each angle in the triangle below ​

Mathematics
1 answer:
Dvinal [7]2 years ago
5 0

Answer:

∠ABC= 82°

∠ACB= 82°

∠BAC= 16°

Step-by-step explanation:

∠ABC +∠ACB +∠BAC = 180° (∠ sum of △ABC)

(5x -3)° +(5x -3)° +(x -1)°= 180°

5x -3 +5x -3 +x -1= 180

11x -7= 180 <em>(</em><em>simplify</em><em>)</em>

11x= 180 +7 <em>(</em><em>+</em><em>7</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

11x= 187

x= 187 ÷11

x= 17

∠ABC

= (5x -3)°

= [5(17) -3]°

= 82°

∠ACB

= ∠ABC

= 82°

∠BAC

= (17 -1)°

= 16°

Alternatively,

∠BAC

= 180° -82° -82°

= 16°

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A process that produces computer chips has a mean of .04 defective chips and a standard deviation of .003 chips. The allowable v
gulaghasi [49]

Answer:

The capability index for the process is 0.889

Step-by-step explanation:

Here, we want to compute the capability index for the process

To get this, we need some important parameters which we already have stated in the question

USL ( upper standard limit) = 0.048

LSL (lower standard limit) = 0.032

mean = 0.04

standard deviation = 0.003

We apply the formula as seen in the attachment below

Kindly understand that we are to calculate the Z upper and Z lower

The smallest value between the two will be our Z minimum

This is what we shall apply in the capability index formula which mathematically is;

Z minimum/3

From calculation:

Z lower = Z upper = 2.67

So therefore;

capability index = 2.67/3 = 0.889

4 0
3 years ago
The "core" inflation rate is typically defined as the change in consumer prices for all goods included in the CPI basket except
Ganezh [65]

Answer:

Higher

Step-by-step explanation:

1) In Macroeconomics, The core inflation rate does not include food and energy since these categories are way more volatile, due to oil and season matters. And statistically this measure looks for more robust items, to compose the core inflation in a more accurate way. The Consumer Prices Index (CPI) is the metric used for the cost of living.

Another Index, used by the Fed is the PCE, for the goods and services consumed by the US residents.

So, the Core inflation is based on CPI and PCE, <em>Personal Consumption Expenditure</em> therefore the inflation rate for the past year was higher than 4%, for it is not solely based on CPI index.

6 0
3 years ago
Problem 2.9 a runner completes the 200-meter dash with a time of 20.19 seconds. part a what was the runner's average speed in me
Elina [12.6K]

Answer:

Average speed = 9.91 m/s

Explanation :

Total distance covered by a runner = 200 m

Time taken to complete this distance = 20.19 sec

We need to find the average of runner speed in meter/sec

We use the speed,  distance, time formula

speed = \frac{distance}{time}

speed = \frac{200}{20.19}

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that's the final answer.

I hope it will help you.



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3 years ago
The Burgi, Khalifa the tallest building in the world with 163 floors
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Not sure bout this on look it up on google

3 0
3 years ago
A pilot can fly 2100 miles with the wind in the same time she can fly 1890 miles against the wind. If the speed of the wind is 2
Anna007 [38]

Answer:

475 mph

Step-by-step explanation:

Distance = rate × time

time = distance / rate

If x is the speed of the plane in still air:

2100 / (x + 25) = 1890 / (x − 25)

Cross multiply:

2100 (x − 25) = 1890 (x + 25)

Distribute and solve:

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3 years ago
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