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Akimi4 [234]
3 years ago
6

Given: m∥n , m∠1=65∘ , m∠2=60∘ , and BD−→− bisects ∠ABC . Prove: m∠6=70∘

Mathematics
1 answer:
Darina [25.2K]3 years ago
4 0

Answer:

  1. Angle Bisector Theorem
  2. Sum of Adjacent Angles
  3. Co-interior angle property
  4. Additive law

Step-by-step explanation:

Note: Diagram for Question is attached

1. Angle Bisector Theorem

BD is the angle bisector. Bisection means dividing in 2 equal parts. So angle 3 and angle 4 are equal.

2. Sum of Adjacent Angles

Two adjacent angles can be added together to find the larger angle that is formed by the two angles.

3. Co-interior angle property

Co-interior property states that if a single line intersects two parallel lines, the sum of interior angles (of same side) is equal to 180. (Image attached for visual representation)

4. Additive law

By additive law, we can subtract a value from both sides of the equation without unbalancing the equation. So, we can subtract 110 from both sides of the equation giving 70 as the final answer.

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the length of a rectangle is 6in.more than than its width .Its area is 50 sq.in Find the width of the rectangle....
yulyashka [42]
L=6+W
A=LW
sub 6+W for L
A=(6+W)(W)
expand
oh, A=50
50=W²+6W
minus 50 both sides
0=W²+6W-50
we gots to use quadratic formula
for
aW²+bW+c=0
W=\frac{-b+/- \sqrt{b^2-4ac} }{2a}
we got
a=1
b=6
c=-50


W=\frac{-(6)+/- \sqrt{(6)^2-4(1)(-50)} }{2(1)}
W=\frac{-6+/- \sqrt{36+200} }{2}
W=\frac{-6+/- \sqrt{236} }{2}
W=\frac{-6+/- 2\sqrt{59} }{2}
W=-3+/- \sqrt{59}

W=-3+ \sqrt{59} or W=-3- \sqrt{59}
aprox
W=-10.6811 or W=4.68115
can't be negative width

width=4.68115 or -3√59
7 0
3 years ago
Lois bought clothing at a store. She did not have enough in her bank account to pay for the purchase. After receiving the bill a
fomenos
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8 0
3 years ago
Read 2 more answers
May I please get help
Zielflug [23.3K]

Answer:

2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Needed help for my math please
vesna_86 [32]

Answer:

see explanation

Step-by-step explanation:

(a)

\frac{a}{a} = 1 ( any value divided by itself = 1 )

(b)

\frac{a}{1} = a ( any value divide by 1 is the value itself )

(c)

\frac{a}{b} × \frac{c}{d} = \frac{ac}{bd}

The product of 2 fractions is the product of the numerators divided by the product of the denominators

(d)

\frac{a}{b} ÷ \frac{c}{d} = \frac{ad}{bc}

To divide 2 fractions, leave the first fraction, change division to multiplication and turn the second fraction upside down, that is

\frac{a}{b} ÷ \frac{c}{d} = \frac{a}{b} × \frac{d}{c} = \frac{ad}{bc}

(e)

\frac{a}{d} + \frac{b}{d} = \frac{a+b}{d}

Since the fractions have a like denominator, add the numerators leaving the denominator. This applies to subtraction also

(f)

\frac{a}{d} - \frac{b}{d} = \frac{a-b}{d}

See explanation for part (e)




6 0
3 years ago
What is the answer to 13= x/4 <br><br><br> ​
Arlecino [84]

Answer:

52

Step-by-step explanation:

13 = x/4

To isolate the x, you have to multiply 4 on each side.

x/4 * 4= x

13 * 4 = 52

x = 52

8 0
3 years ago
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