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vazorg [7]
3 years ago
7

Please Help ASAP!!!!

Mathematics
1 answer:
KIM [24]3 years ago
3 0

Answer:

m\angle M = 98\degree

Step-by-step explanation:

As we know that:

Sum of the measure of all interior angles of a triangle is always 180°.

\therefore (3x-16)\degree+(x+6)\degree+ x\degree = 180\degree\\\therefore (5x-10)\degree = 180\degree\\5x-10 = 180\\5x = 180 + 10\\5x = 190\\x= \frac{190}{5}\\x= 38\\\because m\angle M = (3x-16)\degree\\\therefore m\angle M = (3\times 38 -16)\degree\\\therefore m\angle M = (3\times 38 -16)\degree\\\therefore m\angle M = (114 -16)\degree\\\therefore m\angle M = 98\degree

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I drove 380 miles using 14 gallons of gas. At this rate, how many gallons of gas would I need to drive 418 miles?
ser-zykov [4K]

Answer:

15.4 gallons .

Step-by-step explanation:

The rate of gas used  = 380/14 = 27.14 gallons per gallon.

So for each gallon used  you drive 27.14 miles.

So number of gallons used when travelling 418 miles = 418/27.14

= 15.4 gallons .


8 0
3 years ago
Read 2 more answers
A machine covers 5/8 square foot in 1/4 hour
VLD [36.1K]

The question is incomplete. Here is the complete question:

A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?

Answer:

2.5 square feet per hour

Step-by-step explanation:

Given:

Area covered by a machine = frac{5}{8}\ ft^2

Time taken to cover the given area = \frac{1}{4}\ h

Now, unit rate of the first quantity with respect to second quantity is the magnitude of the first quantity being when the second quantity is one unit.

Here, the first quantity is the area covered and the second quantity is the time taken.

So, unit rate is the area covered by the machine in 1 hour.

In order to find that, we use the unitary method and divide the area by the total time taken. Therefore,

Unit\ rate=\frac{Total\ area\ covered}{Total\ time\ taken}\\\\Unit\ rate=(\frac{5}{8}\ ft^2)\div (\frac{1}{4}\ h)\\\\Unit\ rate=\frac{5}{8}\times \frac{4}{1}\ ft^2/h\\\\Unit\ rate=\frac{20}{8}=2.5\ ft^2/h

Thus, the unit rate is 2.5 square feet per hour.

5 0
3 years ago
Let mu denote the true average number of minutes of a television commercial. Suppose the hypothesis H0: mu = 2.1 versus Ha: mu &
natka813 [3]

Answer:

A. T > 2.539

Step-by-step explanation:

We have a hypothesis test of the mean, with unknown population standard deviation.

The hypothesis are:

H_0: \mu = 2.1 \\\\H_a: \mu > 2.1

From the hypothesis we can see that the test is right-tailed, so the critical value of t should be a positive value.

The degrees of freedom can be calculated as:

df=n-1=20-1=19

The significance level is 0.01, so the critical value tc should be the one that satisfies:

P(t>t_c)=0.01

Looking up in a t-table, for 19 degrees of freedom, this critical value is tc=2.539.

7 0
3 years ago
Jace invested $380 in an account paying an interest rate of 6.2% compounded continuously. Assuming no deposits or withdrawals ar
SOVA2 [1]

Answer: 960

Step-by-step explanation:

5 0
3 years ago
4 – (2y + 5) = 3(1 – 4y) show steps please
Lelu [443]

Answer/Step-by-step explanation:

Let's solve your equation step-by-step.

4−(2y+5)=3(1−4y)

Step 1: Simplify both sides of the equation.

4−(2y+5)=3(1−4y)

4+−1(2y+5)=3(1−4y)(Distribute the Negative Sign)

4+−1(2y)+(−1)(5)=3(1−4y)

4+−2y+−5=3(1−4y)

4+−2y+−5=(3)(1)+(3)(−4y)(Distribute)

4+−2y+−5=3+−12y

(−2y)+(4+−5)=−12y+3(Combine Like Terms)

−2y+−1=−12y+3

−2y−1=−12y+3

Step 2: Add 12y to both sides.

−2y−1+12y=−12y+3+12y

10y−1=3

Step 3: Add 1 to both sides.

10y−1+1=3+1

10y=4

Step 4: Divide both sides by 10.

10y

10

=

4

10

y=

2

5

Answer:

y= 2/5

yw

6 0
3 years ago
Read 2 more answers
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