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dedylja [7]
3 years ago
7

Which angle is complementary to

Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0
<h2>Explanation:</h2><h2></h2>

Hello! Remember you need to write complete questions in order to find good and exact answers. Here your question is incomplete so I could help you in a general way. Recall that two angles are complementary if and only if they add up to 90°. So, if we have to angles, namely:

∠A and ∠B

And angle ∠A = 35°, then this is complementary to ∠B as the following form:

∠A + ∠B = 90°

∴ 35° + ∠B = 90°

∴ ∠B = 90° - 35°

∴ ∠B = 55°

Finally, ∠A and ∠B are complementary because they add up to 90°

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Tamara makes 12 identical flower arrangements, each with 3 roses and some carnations. She uses a total of 96 flowers.
storchak [24]

Answer:

5 carnations in each arrangement

Total of 60 carnations used

Step-by-step explanation:

First calculate how many flowers are in each arrangement by dividing the total number of flowers by the number of arrangements:

96 ÷ 12 = 8

Given each arrangement has 3 roses, subtract 3 from 8 to find the number of carnations in each arrangement:

8 - 3 = 5

Therefore, there are 5 carnations in each arrangement

Total number of carnations used = 5 x 12 = 60

5 0
2 years ago
Consider the following hypothesis test: H 0: 20 H a: &lt; 20 A sample of 60 provided a sample mean of 19.5. The population stand
viva [34]

Answer:

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.          

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, \bar{x} = 19.5

Sample size, n = 60

Alpha, α = 0.05

Population standard deviation, σ = 1.8

First, we design the null and the alternate hypothesis

H_{0}: \mu = 20\\H_A: \mu < 20

We use One-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{19.5 - 20}{\frac{1.8}{\sqrt{60}} } = -2.151

Now, z_{critical} \text{ at 0.05 level of significance } = -1.64

Since,  

z_{stat} < z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

5 0
4 years ago
PLEASE ANSWER!!!! A certain transformation is applied to a line segment. The new segment shifted to the left within the coordina
taurus [48]

translation because you are moving it

6 0
3 years ago
Read 2 more answers
How many degrees is angle B​
liberstina [14]

Answer:

50

Step-by-step explanation:

The angle is on the right side therefore the arrow is pointed at 180 and the other is pointed at 130. So to get the difference you need to subtract the greater number from the smaller (180-130)=50

5 0
3 years ago
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Triangle ABC is shown. What is tan (C)?
postnew [5]

Answer:

10 in

Step-by-step explanation:

7 0
3 years ago
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