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4 years ago

11

In the figure, a∥b and m∠3 = 34°. What is the m∠7 ? Enter your answer in the box.

1 answer:

solmaris [256]4 years ago

4 0

Answer:

∠7 = 34°

Step-by-step explanation:

Since a and b are parallel lines then

∠3 and ∠7 are corresponding angles and congruent, so

∠7 = ∠3 = 34°

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What are the coordinates of each point after quadrilateral ABCD is reflected across the y-axis and then translated 2 units down?

zheka24 [161]

Answer:

$A" =(-1,-1)$ $B" =(-2,1)$

$C" =(-4,1)$ $D" =(-5,-1)$

Step-by-step explanation:

Given

$A = (1,1)$ $B =(2,3)$

$C = (4,3)$ $D = (5,1)$

Required

The new coordinates after reflected across y-axis and shifted 2 units down

When a point is reflected across the y-axis, the rule is:

$(x,y)=>(-x,y)$

So:

$A = (1,1)$ $=> A' = (-1,1)$

$B =(2,3)$ $=> B' = (-2,3)$

$C = (4,3)$ $=> C' = (-4,3)$

$D = (5,1)$ $=> D' = (-5,1)$

When a point is translated 2 units down, the rule is:

$(x,y) => (x,y-2)$

So:

$A = (1,1)$ $=> A' = (-1,1)$ $=> A" =(-1,-1)$

$B =(2,3)$ $=> B' = (-2,3)$ $=> B" =(-2,1)$

$C = (4,3)$ $=> C' = (-4,3)$ $=> C" =(-4,1)$

$D = (5,1)$ $=> D' = (-5,1)$ $=> D" =(-5,-1)$

So, the new coordinates are:

$A" =(-1,-1)$ $B" =(-2,1)$

$C" =(-4,1)$ $D" =(-5,-1)$

5 0

3 years ago

Find the equation in slope-intercept form that describes a line through (2, 4) with slope 0

True [87]

Since we already know that the slope is 0, x cancels out in the equation.

y = mx + b → y = b

We just need to find the y-intercept. Using the coordinate (2, 4) we can substitute with y.

4 = b

Hence, the answer is b) y = 4

Hope This Helped! Good Luck!

6 0

3 years ago

Eve leaves £400 in the bank for 3 years, it earns 5% compound interest. What is the total amount eve has in the bank at the end

zubka84 [21]

Eve has 420 in the bank.

7 0

3 years ago

A bacteria culture starts with 100 bacteria and doubles in size every half hour.

taurus [48]

Answer:

y=25600

y=100(2)^{2t}

y=252

Step-by-step explanation:

A bacteria culture starts with 100 bacteria and doubles in size every half hour.

$y=100(2)^{2x}$

where x represents the number of hours

(a) t= 4 hours

Plug in 4 for t and find out the number of bacteria y

$y=100(2)^{2 \cdot 4}\\y=25600$

25600 bacteria

$y=100(2)^{2t}$

convert 40 seconds into hour

40 divide by 60 =2/3

$y=100(2)^{2\frac{2}{3} }\\y=100(2)^{\frac{4}{3} }\\\\y=252$

The graph is attached below

4 0

3 years ago

Due to conservation efforts, the gray whale has been removed from the endangered species list. There are now 13,000 in the world

brilliants [131]

Answer:

$P = 13,000(1.11) ^ t$

Step-by-step explanation:

This scenario can be modeled using an exponential growth equation.

The exponential growth equations have the following form:

$P = p (1 + r) ^ t$

Where P is the population in year t

p is the initial population at t = 0

r is the growth rate

t is the time in years.

In this case we know that the current population is 13,000 and that the growth rate is 11%

So

$p = 13,000\\r = 0.11$

The equation that models this scenario is:

$P = 13,000(1 + 0.11) ^ t$

$P = 13,000(1.11) ^ t$

4 0

3 years ago