Polygon ABCDE rotates 45° clockwise about point F to produce polygon FGHIJ as shown. What is mBCD?

Answers

Answer 1

Answer: The order of letters is important.
Since polygon ABCDE is rotated to produce polygon FGHIJ, then image of A is F, image of B is G, and so on.
And since rotation preserves the shape, then
m∠BCD = m∠GHI = 127°

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Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. −2y2 + 6y = −2

Answers

-2y^2 + 6y + 2 = 0
a = -2, b = 6, c = 2
x = (- b + - sqrt(b^2-4ac))/(2a)
x=(-6+-sqrt(36-4*-2*2))/-4
x=(-6+-sqrt(36+16))/-4
x=(-6+-sqrt(52))/-4
x = (-6 +- 2sqrt13)/-4
x = (3 + - sqrt13)/2

Answer:

-0.3 Or 3.3

Step-by-step explanation:

-2y^2 + 6y + 2 = 0

X = -6 + 7.21/-4 or -7 - 7.21/-4

X = -0.3 or X = 3.3

Which of the following items is the most likely to have a mass of 3 mg?A : Cat

B : Pumpkin

C : Ant

D : Piano

Answers

C.the ant would be the most likely thing to have a mass of three grams.

Evaluate the log without a calculator ( Show your work )

$log_(25) (1)/(5)$

Answers

Answer:

$\log_(25)((1)/(5))=-(1)/(2)$

Step-by-step explanation:

Let

$\log_(25)((1)/(5))=x$

We rewrite as an exponential equation to obtain;

$(1)/(5)=25^x$

We rewrite both sides of the equation as an index number to base 5.

$5^(-1)=5^(2x)$

Since the bases are the same, we equate the exponents to obtain;

$-1=2x$

Divide both sides by 2;

$x=-(1)/(2)$

log 1/5 base 25
25^x=1/5
thinking of number that satisfy it
it is =-1/2

The graph of an inequality has an open circle at 3.9, and the ray moves to the right. What inequality is graphed?x > 3.9
x ≤ 3.9
x < 3.9
x ≥ 3.9

Answers

The answer would be x> 3.9

Answer:

x>3.9

Step-by-step explanation:

PLEASE ITS DUE TONIGHT!!!! Sally rides her bike to run errands. It takes her 18 minutes at 10 mph to get to her first stop. She spends 20 minutes riding at 12 mph to get to her second stop. It then takes her 15 minutes riding at 15 mph to get home. a. Draw a speed vs. time graph for the time that Sally spent riding her bike. b. How far did she travel?