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sladkih [1.3K]
4 years ago
15

In triangle ABC angle BAD is 46° find BCA and AB=AD=AC

Mathematics
1 answer:
Shalnov [3]4 years ago
5 0
Look at the picture.

m\angle a=\dfrac{180^o-46^o}{2}=67^o\\\\m\angle b=180^o-67^o=113^o\\\\m\angle x=\dfrac{180^o-113^o}{2}=33.5^o\\\\Answer:\ [1]\ 33.5^o

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the denominator of a fraction is 3 less than the numerator. If 5 is added to the numerator and denominator, the result is 5/6. F
Vitek1552 [10]
X=numerator
y=denominator
the sum of numerator and denominator=x+y
we suggest this system of equations:

y=x-3
(x+5) / (y+5)=5/6

we solve this system of equation by substitution method.
(x+5) / (x-3+5)=5/6
(x+5) / (x+2)=5/6
6(x+5)=5(x+2)
6x+30=5x+10
6x-5x=10-30
x=-20

y=x-3=-20-3=-23

Teh sum of the numerator an denominator=-20+(-23)=-43

Answer:    -43



7 0
3 years ago
What is 1,017 square feet of lawn mowed in 9 minutes written as a unit rate per hour
d1i1m1o1n [39]
The rate will be:
(area mowed)/(time taken)
=1017/9
=113 sq. feet/ min
4 0
4 years ago
Would love help with this
Mars2501 [29]
It is always a rational number

-Hope This Helps-
6 0
3 years ago
Which of the following is a correct interpretation of the expression -7-(-11)
alina1380 [7]
Well I’m not sure but I can solve the answer though -7-(-11)= 4 that’s all I know
6 0
3 years ago
The following is an arithmetic sequence that has 10 numbers LaTeX: 1,\ a_2, \ a_3, \ a_4, \ \cdots,\ a_{10}.1 , a 2 , a 3 , a 4
Naddika [18.5K]

Answer:

a_2=3

Step-by-step explanation:

The arithmetic sequence is given as: 1,\ a_2, \ a_3, \ a_4, \ \cdots,\ a_{10}

We are told that the 10 numbers add up to 100.

S_n=\frac{n}{2}(a_1+l)\\ $Where: \\n=number of terms\\l=last term\\a_1$=first term

S_{10}=100\\100=\dfrac{10}{2}(1+l)\\100=5(1+l)\\$Divide both sides by 5$\\20=1+l\\$Last term, $l=20-1=19

We know that the nth term of an arithmetic sequence

l=a_1+(n-1)d\\19=1+(10-1)d\\19=1+9d\\9d=19-1\\9d=18\\d=2

Therefore, the second number

a_2=a_1+2\\=1+2\\a_2=3

3 0
4 years ago
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