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Slav-nsk [51]
4 years ago
11

In the following diagram \overline{DE} \parallel \overline{FG}

Mathematics
1 answer:
Gnesinka [82]4 years ago
7 0

Answer:

<x = 31°

Step-by-step explanation:

m<BCA = m<GCJ (vertical angles)

m<BCA = 59° (substitution)

Since line KL is perpendicular to line FG, the angle formed at point B is 90°.

Therefore, m<ABC = 90°

m<BAC + m<ABC + m<BCA = 180° (sum of triangle)

m<BAC + 90° + 59° = 180° (Substitution)

m<BAC + 149° = 180°

m<BAC = 180° - 149°

m<BAC = 31°

<x = <BAC (vertical angles)

m<x = 31° (substitution)

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Simplify.
Dominik [7]

Simplify: [{y^(2/7)}/{y^(1/2)}]

Since, [{a^(p/q)}/{a^(r/s)}] = a^{(p/q)-(r/s)}

Where,

  • a = p
  • p/q = 2/7 and
  • r/s = 1/2

so,

= y^{(2/7)-(1/2)}

Take the LCM of denominator i.e.,2 & 7 is 14.

= y^{(2*2 - 1*7)/14}

= y^{(4-7)/14}

= y^(-3/14) Ans.

<u>read</u><u> </u><u>more similar</u><u> questions</u><u>:</u> Which equation can be simplified to find the inverse of y = x2 – 7? a: x=y ^ 2 - 1/7 b: 1/x = y^2 - 7 c: x = y^2 – 7 d: –x = y^2 – 7..

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6 0
2 years ago
Input, x 4 8 12 16 20 output y 21 37 53 69 85 what is the equation
BigorU [14]

Answer:

The equation is y = 4x + 5

Step-by-step explanation:

To find the equation to this table, pick two ordered pairs and use the slope formula to find the slope. For this we'll use (4, 21) and (8, 37).

m(slope) = (y2 - y1)/(x2 - x1)

m = (37 - 21)(8 - 4)

m = 16/4

m = 4

Now we can use that slope along with any point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 21 = 4(x - 4)

y - 21 = 4x - 16

y = 4x + 5

3 0
4 years ago
Two candidates ran for class president. The candidate that won received 80% of the 320 total votes. How many votes did the winni
Ede4ka [16]

Answer:

256

80÷100×320=256

80÷100=0.8

0.8×320=256

3 0
2 years ago
How to do the equation x-5=17
Roman55 [17]

Answer:

X= 22

Step-by-step explanation:

x-5=17

To solve,

Since five is being subtracted from x, to get x by itself, add five to both sides

x-5=17

   +5 +5

X= 22

The answer is 22 :)

7 0
3 years ago
Solve F(x) for the given domain.<br>F(x) = x² + 3x - 2<br>F(3)=____<br>a. 13<br>b. 16<br>C. 40​
Llana [10]

Answer:

B. 16

Step-by-step explanation:

F(3) means we must plug the number "3" into the equation for each x.

(3)^2 + 3(3) -2

9 + 9 - 2

16

5 0
3 years ago
Read 2 more answers
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