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diamong [38]
4 years ago
9

Find m<1 and m<3 in the kite. The diagram is not to scale.

Mathematics
2 answers:
sashaice [31]4 years ago
8 0
The first one ——angle 1 is 17 and angle 3 is 73
kondaur [170]4 years ago
6 0

For this case they tell us that the sides DA and AB are equal, so we have that angle 1 also has a value of 17 degrees (just like the DAC angle).

Now we look for angle 3. By definition we have that the sum of the internal angles of a triangle is given by 180 degrees. Then we have that the first upper triangle of the kite is fulfilled:

Angle 3 + 17 + 90 = 180\\Angle 3 = 180-90-17\\Angle 3 = 73

Answer:

Angle 1: 17 degrees

Angle 3: 73 degrees

Option A

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8 0
3 years ago
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6 0
2 years ago
If f(x)= 3x squares +1 and g(x) =1-x what is the value of (f-g)(2)
ZanzabumX [31]

Answer: (f-g)(2)=14

Step-by-step explanation:

(f – g) (-2) means the same as subtracting f(2) and g(2). Since we are given f(x) and g(x), we can use them to solve. There are two ways to solve. One is to find f(2) and g(2), and then subtract them. Another way is to do (f-g)(x), then plug in x=2. I will show both methods.

Method 1

f(2)=3(2)²+1                                [exponent]

f(2)=3(4)+1                                  [multiply]

f(2)=12+1                                     [add]

f(2)=13

g(2)=1-(2)                                    [subtract]

g(2)=-1                  

(f-g)(2)=13-(-1)                            [subtract f(2) and g(2)]

(f-g)(2)=14

--------------------------------------------------------------------------------------------------------

Method 2

(f-g)(x)=3x²+1-(1-x)                     [distribute -1]

(f-g)(x)=3x²+1-1+x                      [combine like terms]

(f-g)(x)=3x²+x

(f-g)(2)=3(2)²+2                         [plug in x=2, exponent]

(f-g)(2)=3(4)+2                           [multiply]

(f-g)(2)=12+2                             [add]

(f-g)(2)=14

--------------------------------------------------------------------------------------------------------

Now, we know that (f-g)(2)=14. We confirmed this with both methods.

8 0
4 years ago
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3 years ago
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