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il63 [147K]
3 years ago
7

In the diagram, lines AB , CD, and EF intersect at G

Mathematics
1 answer:
Ghella [55]3 years ago
6 0

Answer:

D. 70°

Step-by-step explanation:

Given:

m<DGB = 35°

m<CGF = 75°

Required:

m<AGE

SOLUTION:

m<EGD = m<CGF (vertical angles are congruent)

m<EGD = 75°

m<AGE + m<EGD + m<DGB = 180° (angles on a straight line)

m<AGE + 75° + 35° = 180° (substitution)

m<AGE + 110° = 180°

Subtract 110 from each side of the equation

m<AGE = 180° - 110°

m<AGE = 70°

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photoshop1234 [79]

Answer:

C

Step-by-step explanation:

For a relation to be a function, the ordered pairs do not repeat any of the x values.  This is Answer C.

6 0
3 years ago
What is 10 less than X
Arada [10]
x-10
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5 0
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Add 10 to z, then double the result<br> Do not simplify any part of the expression.
dybincka [34]

2(z+10)

2z+20

Answer:

2z+20

4 0
3 years ago
At a bake sale, as student spent $11.00 buying 3 brownies and 5 cookies. His friend spent $3.95 buying 1 brownie and 2 cookies.
dybincka [34]

Answer:

$2.25

Step-by-step explanation:

Let "b" be the price of 1 brownie and "c" the price of 1 cookie.

At a bake sale, a student spent $11.00 buying 3 brownies and 5 cookies. Symbolicaly,

3 b + 5 c = 11.00   [1]

His friend spent $3.95 buying 1 brownie and 2 cookies. Symbolicaly,

1 b + 2 c = 3.95

b = 3.95 - 2c   [2]

If we replace [2] in [1], we get

3 (3.95 - 2c) + 5 c = 11.00

11.85 - 6c + 5c = 11.00

c = 0.85

If we replace c = 0.85 in [2], we get

b = 3.95 - 2 (0.85) = 2.25

8 0
3 years ago
How to change base of logarithms: Best answer gets 27 points and brainliest answer
AlekseyPX

Answer:

1/3

Step-by-step explanation:

 To change from one base to another, we use the formula

Logb x = Loga x/Loga b

log1/9  (3^(1/3) /3)


log3 ((3^(1/3) /3))

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

log3 (1/9)


Log a /b = log a - log b

and 1/9 = 3^-2

log3 ((3^(1/3) ) - log3 (3)

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

log3 (3^-2)


log a^b  = blog a


1/3 log3 (3 ) - log3 (3)

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

-2log3 (3)

We know log3 (3) =1


1/3 (1) - 1

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

-2 (1)


1/3  - 1

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

-2


-2/3

------

-2

Copy dot flip

-2/3 * -1/2


1/3

6 0
3 years ago
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