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Drupady [299]
3 years ago
6

Someone please help me

Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0

9514 1404 393

Answer:

  A.  16°

Step-by-step explanation:

Angle E corresponds to angle N, the third angle in ∆MNO. Its measure is ...

  ∠N = 180° -∠M -∠O

  ∠N = 180° -99° -65°

  ∠N = ∠E = 16°

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Suppose g(m) varies inversely with m and g(m)=3.5 when m=10. What is the value of m when g(m)=10?
ser-zykov [4K]

Give that g(m) varies inversely with m

So that means we can write equation:

g\left(m\right)=\frac{k}{m}

where is k is constant of variation.

Given that g(m)=3.5 when m=10.

so plug these values into above formula:

g\left(10\right)=\frac{k}{10}

3.5=\frac{k}{10}

3.5*10=\frac{k}{10}*10

35=k

To find the value of m when g(m)=10, we just need to plug g(m)=10 and k=35 into above formula then solve for m

g\left(m\right)=\frac{k}{m}

10=\frac{35}{m}

10m=35

m=\frac{35}{10}

m=3.5


Hence final answer is m=3.5



7 0
3 years ago
Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value u
Mashutka [201]

Answer:

The critical z value used to test a null hypothesis is ±1.75.

Step-by-step explanation:

We are given that the data has a normal distribution and the number of observations is greater than fifty.

Also, the hypothesis given to us is;

<u>Null Hypothesis</u>, H_0 : \mu = 3.24

<u>Alternate Hypothesis</u>, H_1 : \mu\neq 3.24

This means that our test is two-tailed because in the alternate hypothesis we are concerned with mean value is less than or greater than 3.24.

Also, level of significance (α) = 0.08

Now, for two-tailed test level of significance becomes =  \frac{\alpha}{2} =\frac{0.08}{2} = 0.04

So, in the z-table the critical value of x at 4% significance level is given as 1.75.

Since, this is two-tailed test so the critical z value used to test a null hypothesis would be ±1.75.

7 0
3 years ago
Is Y=19x - 5 proportional. Why?
Goshia [24]

Answer:

yes

Step-by-step explanation:

y=kx+b

here k=19 and b=-5

4 0
3 years ago
A packet of crisps contains 50g. If a “new size” packets contain 15% more, how many grams of crisps are in the “new size” packet
Agata [3.3K]
To solve this, you’d multiply 50 by 1.15 to get 57.5 grams of crisps.
4 0
3 years ago
The proof that ΔACB ≅ ΔECD is shown. Given: AE and DB bisect each other at C. Prove: ΔACB ≅ ΔECD What is the missing statement i
GarryVolchara [31]

Answer:

The missing statement is ∠ACB ≅ ∠ECD

Step-by-step explanation:

Given two lines segment AC and BD bisect each other at C.

We have to prove that ΔACB ≅ ΔECD

In triangle ACB and ECD

AC=CE    (Given)

BC=CD   (Given)

Now to prove above two triangles congruent we need one more side or angle

so, as seen in options the angle ∠ACB ≅ ∠ECD due to vertically opposite angles

hence, the missing statement is ∠ACB ≅ ∠ECD


9 0
3 years ago
Read 2 more answers
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