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vichka [17]
2 years ago
9

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Mathematics
1 answer:
mote1985 [20]2 years ago
4 0

Answer:

X=22

Step-by-step explanation:

In a triangle all the angles add up to 180 so you add them all up and get      6x-21+69=180

                  +21

                 -69

  6x=132 132/6= 22

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A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium d
qwelly [4]

Answer:

Step-by-step explanation:

Given that,

Cells are divided into two cell every 20mins, this implies that the half-life is 20mins

Initial population growth is 60cells

Growth rate r?

Population growth is modeled as

P(t) = Po•exp(rt)

Where,

Po is the initial growth at t= 0

Po= 60

P(t) is population at any time t.

Since the population doubles every 20mins(⅓hr)

Then, P(⅓) = 2×60 =120

Then, P(t) = 120cells

So, applying the formula

P(t) = Po•exp(rt)

120 = 60•exp(⅓r)

120/60 = exp(r/3)

2 = exp(r/3)

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In(2) = r/3

Cross multiply

r = 3In(2)

r = 2.079 /hour

The growth rate is 2.079/hour.

7 0
3 years ago
Juan ran the lemonade stand for 3 more days. Each day, he used the money from sales to purchase more lemons, cups, and sugar to
kotykmax [81]

3 number of days are given form different activities of sales and purchase.

Day 2:

Earnings : $16

Spendings : $7.

Day 3:

Earnings : $22

Spendings : $12.

Please note: We always add the Earnings and Subtract the Spendings.

Therefore, the expression can be used to model the situation for these 2 days as

First day earning - First day spendings + Second day earning - Second day spendings

16-7 + 22 -12.

In order to write the expression as adding the additive inverse, we need to factor out minus from second group by making expression into two groups.

We will write two positive numbers in first group and two negative numbers in second group.

(16+22) + (-7-12).

Factoring out minus sign from second group, we get

(16+22) - (7+12)

This expression in additive inverse form now.


7 0
3 years ago
Read 2 more answers
Can someone help me, I have no clue
enyata [817]

yes. which questions do you need me to answer?


6 0
3 years ago
Your ship sinks and you swim to a nearby island. On this island, the inhabitants do not use money. The island residents use isla
natita [175]

Answer:

240 bananas

Step-by-step explanation:

You would need 8 sets of figs. 10 coconuts is equal to 25  figs so you need 80 coconuts. You would need enough bananas to get 4 sets of coconuts. 60*4 = 240

5 0
2 years ago
Read 2 more answers
8 Taylor has a bag of 10 fruit loops. Five loops are red, two are yellow, and three are green. If she has a larger bag that cont
Svetllana [295]

Answer:

12

Step-by-step explanation:

There are 2 yellow out of 10.

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1/5 of the total number is yellow.

1/5 of 60 =

= 1/5 * 60

= 12

Answer: 12

7 0
3 years ago
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