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Radda [10]
3 years ago
10

An artist is working on the design of a logo for the T-shirts that the participants

Mathematics
1 answer:
padilas [110]3 years ago
7 0

Answer:

m(∠ADB) = 25 degrees

m(∠BDC) = 35 degrees

Step-by-step explanation:

Measure of angle ADC of the logo = 60°

Measure of angle ADB = x°

And measure of angle BDC = (x + 10)°

Since, angle ADC is a combination of two angles,

Therefore, measure of angle ADC = m(∠ADB) + m(∠CDB)

x° + (x + 10)° = 60°

2x + 10 = 60

2x = 50

x = 25

Measure of angle ADB = x = 25 degrees

Measure of angle BDC = (x + 10)°

                                      = (25 + 10)°

                                      = 35 degrees

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What is the lowest terms of 4/5 -2/3
Anvisha [2.4K]
4 / 5 - 2 / 3 ( taking LCM on bottom )
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6 0
3 years ago
Graph f(x)=3x-1 and g(x)=2^x on the same coordinate plane.
julsineya [31]

Answer:

B. 1 and D. 3.  

Step-by-step explanation:

The figure below shows the graphs of f(x) = 3x - 1 (red) and g(x) = 2^x (blue).

The solutions of 3x - 1 = 2^x are the points at which the two curves intersect.

The solutions are at x = 1 and x = 3.

Check:

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7 0
3 years ago
We measure the diameters for a random sample of 25 oak trees in a neighbourhood. Diameters of oak trees in the neighbourhood fol
jarptica [38.1K]

Answer:

The required confidence inteval = 94.9%.

Step-by-step explanation:

Confidence interval: Mean ± Margin of error

Given: A confidence interval for the true mean diameter of all oak trees in the neighbourhood is calculated to be (36.191, 42.969).

i.e.  Mean + Margin of error = 42.969               (i)

Mean - Margin of error = 36.191                    (ii)

Adding (i) and (ii), we get

2Mean =79.16\\\\\Rightarrow\ Mean= 39.58

Margin of error = 42.969-39.58             [from (i)]

= 3.389

Margin of error = t^* \dfrac{\sigma}{\sqrt{n}}

here n= 25 , \ \sigma=8.25

i.e.

3.389=t^*\dfrac{8.25}{5}\\\\\Rightarrow\ t^* = \dfrac{3.389}{1.65}\\\\\Rightarrow\ t^* =2.0539 \

Using  excel function 1-TDIST.2T(2.054,24)

The required confidence inteval = 94.9%.

7 0
2 years ago
A box contains 8 green balls, 16 red balls, 10 white balls, and 6 pink balls.
Pepsi [2]
The probability of drawing a white ball is 1/4

Explanation:
When we solve for probability, we want to find out how many of something there is out of its total. So in this case, we want to see how many white balls there are out of the totals balls in the box. We already know that there are 10 white balls, so we need to figure out the total balls in the box, by adding up. 8 green balls + 16 red balls + 10 white balls + 6 pink balls = 40 balls in total. Now we know that the fraction would be 10/40, as there are 10 white balls out of 40 total balls. Finally, we simplify the fraction to 1/4, therefore the answer is B.
8 0
2 years ago
Read 2 more answers
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