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Ierofanga [76]
3 years ago
7

Find m∠C in ΔABC shown in the figure.

Mathematics
1 answer:
otez555 [7]3 years ago
6 0
The answer to your question is 80
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570 mL = ____ oz show step by step
Rzqust [24]
Solutions 

570 ml to oz is: <span>19.27399 Ounces 
</span>
= 19.27 


3 0
3 years ago
Read 2 more answers
A salesperson is paid a flat rate plus a fixed percentage of her sales. Last month, she sold $16,000 worth of goods and was paid
MA_775_DIABLO [31]

Answer:

She will be paid $1,350

Step-by-step explanation:

Let the flat rate be $x and the fixed percentage be y% = y/100

Thus, her payment per month will be

x + (y% of monthly amount) = Payment

For the 1st month, her pay calculations will look like this;

x + y/100 *(16,000) = 1,600

x + 160y = 1600 •••••••••(i)

For the month before the last, her calculations would be;

x + y/100(12,000) = 1,400

x + 120y = 1,400 ••••••••(ii)

It is these two equations that we now solve simultaneously.

We can directly get this by subtracting equation ii from i

That would be;

(x-x) + (160y-120y) = (1600-1400)

40y = 200

y = 200/40

y = 5%

To get x, we can substitute in any of the equations

Let us use equation ii

x + 120(5) = 1,400

x + 600 = 1,400

x = 1,400-600

x = $800

Thus, for $11,000 , the equation will be as follows;

x + (y% of amount) = payment

= $800 + (5/100 * 11,000) = $800 + $550 = $1,350

4 0
3 years ago
Read 2 more answers
Two of the corresponding angles and the included sides of two triangles are
Murljashka [212]

Answer:

C

Step-by-step explanation:

A. Equilateral triangle is a triangle with all sides congruent. These triangles are not equilateral, because there is no information about all three sides of each triangle.

B. Isosceles triangle is a triangle with two sides congruent. These triangles are not isosceles, because there is no information about congruence of two sides of each triangle.

C. ASA posrulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. This is exactly what you are given in this question, so this option is true.

D. This option is false, because triangles can have two pairs of congruent angles (for example, 20° and 40°), then third pair are also congruent angles not necessarily right (180°-20°-40°=120°≠90°).  

4 0
3 years ago
Read 2 more answers
10. Using the following arithmetic sequence, find the 29th term: –36, –32, –28, –24.
Mashcka [7]
<span>–36, –32, –28, –24  This is an arithmetic sequence because each term has the same difference from the preceding term, called the common difference, d...

-32--36=-28--32=-24--28=4  So 4 is d, the common difference.

The sequence of any arithmetic sequence has the form:

a(n)=a+d(n-1), a=first term, d=common difference, n=term number...in this case we have:

a(n)=-36+4(n-1)  

a(n)=-36+4n-4

a(n)=4n-40 so the 29th term is:

a(29)=4(29)-40

a(29)=116-40

a(29)=76

...

distance=velocity * time

d=vt  we want to find t so

t=d/v  and in this case:

t=234/70

t=(210+24)/70

t=3hr+(60*24)/70

t=3hr+20min+34sec so 

t≈3hr 20min

...

This is an arithmetic sequence...100,150,200...

The sum of an arithmetic sequence will always be the average of the first and last terms times the number of terms....

the rule for the sequence is:

a(n)=a+d(n-1),  a(n)=100+50d-50, a(n)=50n+50

Now we know the nth term is 50n+50, and we also know the first term is 100 so:

s(n)=n(100+50n+50)/2  and we want to know the sum of the first 10 terms so

s(10)=10(100+500+50)/2

s(10)=$3250

...

The first two terms are 2 and 4 so:

a(n)=2+2(n-1)

a(n)=2+2n-2

a(n)=2n

a(10)=20

...

You could do synthetic or long division, but you also could just use the fact that the factor being (x+8) should indicate a zero for the function when x=-8.  If f(x) could be divided by (x+8) the value of y(-8) would equal zero, however calculating y(-8)=-10  so that would be the remainder if you did the division.</span>
8 0
3 years ago
Graph the following inequality and then select the correct graph below. x - y - 2 ≥ 0
Tatiana [17]

Answer:

x - y - 2 ≥ 0

Step-by-step explanation:

8 0
2 years ago
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