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Step2247 [10]
3 years ago
13

Using the triangle below, answer the following questions.

Mathematics
1 answer:
fomenos3 years ago
4 0

Step-by-step explanation:

<u>Answer(1):</u>

Law of Cosines.


<u>Answer(2):</u>

since side "c" is missing so we will write formula used for side "c"

c^2=a^2+b^2-2ab\cdot\cos\left(C\right)


<u>Answer(3):</u>

First lets write both sine and cosine formulas:

Check the attached picture for the list of formulas:

From given picture we see that two angles A and B are missing. Also 1 side "c" is missing.

Sine formula uses two angles while cosine formula uses only one angles.

Hence cosine formula will be best choice to find the missing values.



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Answer:

0, 17

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<u>-3 1/2, -12</u>

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8 0
3 years ago
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In order for RECT to be a rectangle, what must the value of x be?
Readme [11.4K]

Answer:

x = 21

Step-by-step explanation:

If RECT is a rectangle, each of its interior angles are right angles, 90°. Since ∠RTC is split into two angles, the sum of the two angles must be 90°. (Angles that add to 90° are called complementary angles).

∠RTC = ∠RTE + ∠ETC     Formula for complementary angles

90 = 2x + 6 + 42                Substitute the angles

90 = 2x + 48               Combined like terms to simplify

Now isolate "x" to solve

90 - 48 = 2x + 48 - 48         Subtract 48 from both sides

42 = 2x

42/2 = 2x/2       Divide both sides by 2

x = 21

Therefore x is 21.

6 0
3 years ago
There are 48 pounds of apples in a bushel. if apple pickers pick 320 pounds of apples, how many bushels are there and how many p
madam [21]
320/48 

6 bushels with 32 pounds left over. 
8 0
3 years ago
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to spli
Rudik [331]

Answer:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

These both answers are correct.

Step-by-step explanation:

Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.

If x is the food bill our equation can be:

(x+16)/8 = 76/8

Solving the equation

(x+16)/8 = 9.5

x+16= 9.5*8

x= 76 -16

x= 60

The food bill is x=60.

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harina [27]
Since ZY bisects GE and XY bisects EF, and both ZY and XY both bisect GF, then XY ~ ZE and ZY ~ XE.
Therefore ZE = XY = 5
And GE = 2× ZE (because bisected segments are = and therefore ×2 = long segment).
So GE = 2ZE = 2×5 = 10
6 0
3 years ago
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