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3 years ago

Find the unknown angle measure.

Mathematics

1 answer:

Mkey [24]3 years ago

4 0

Answer:

Step-by-step explanation:

equilateral triangle= 2 angles equal

180-72=108

108/2 =54

x=54

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an employee is selected from a staff of 10 to super- vise a certain project by selecting a tag at random from a box containing 1

USPshnik [31]

Probability that the number drawn is less than 4 is given by 0.3

<h3>What is probability?</h3>

The likelihood of an event happening is gauged by probability.

The probability might be between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty.

The overall chance of every event in a sample space is 1.

Let random variable X represent the number of the drawn tag.

Since the simple space consists of 10 equally likely events

S = {1,2,3,4,5,6,7,8,9,10}

The formula for probability distribution is given by:

f(x) = { (1/10) for x = 1,2....10, else 0 elsewhere

since, each number can equally likely occur, therefore

P(x) = 1/10 = 0.1

Probability that the number drawn is less than 4 is given by:

P(x<4) = P(1) + P(2) + P(3)

= 0.1 + 0.1 + 0.1

= 0.3

To know more about probability please visit:

brainly.com/question/16722133

#SPJ4

7 0

1 year ago

Write a rule for this transformation (geometry)

fgiga [73]

Answer:

(x,y) → (x+1 , y+1)

Step-by-step explanation:

Based on the image provided we can assume that every square in the graph represents 1 space. That being said we can create the following rule for this transformation

(x,y) → (x+1 , y+1)

This rule basically states that every point on the original shape needs to be moved 1 space to the right and 1 space upward in order for the translation to be perfect and output the final image shown in the graph.

8 0

3 years ago

3) Lane and Zack purchased a house for $245,000 in 2016. The house loses 4% of its value each year,

kherson [118]

Answer:

In 2030 Lane & Zack's house be worth $65,739.27.

Step-by-step explanation:

Here, as we know The value of property = $245,000

Rate of depreciation = 4% of its present value

Time = From 2016 to 2030 = 14 years

Now, here: Amount depreciated = -( COMPOUND INTEREST on the value)

<u> Step 1: CALCULATE THE COMPOUND INTEREST on P = $245,000</u>

$A = P(1 + \frac{r}{100} )^t\\\implies A = (245,000)(1 + \frac{4}{100} )^{14} = (245,000)(1 + \frac{4}{100} )^{14}\\=245,000 (\frac{104}{100} )^{14} = 424,260.73$

or, AMOUNT = $424,260.73

Now, AMOUNT = Compound I + Principal

⇒Compound I = A - P = $424,260.73 - $245,000 =$ 179,260

So, the amount of the house by which house depreciates = $ 179,260

⇒The depreciated value = Actual Value - The depreciated amount

= $245,000 - 179,260 = $65,739.27

Hence, in 2030 Lane & Zack's house be worth $65,739.27.

4 0

4 years ago

Please show work and if possible explain how you did it? I've been confused over this (both questions please)

Ahat [919]

Y=mx+b
m=slope
b=y intercept or where the line crosses the y axis

slope=rise/run, from left to right

so

1.
ok, so we see it is going throught (-2,1) and (-1,4)
so it hits (-2,1) and then goes up 3 and right 1
so sloe=3/1 or 3
y intercept, it hits at y=7 so
y=3x+7 is equation

2.
we gots a hit at (0,2) and (5,6) about
so goes up 4 and to the right 3 so
4/3 is slope
hits y axis at about y=2
y=(4/3)x+2

5 0

4 years ago

What is 12.3 plus 15.2?

blagie [28]

The answer to your question is 27.5

6 0

4 years ago

Read 2 more answers