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2 years ago

Please help. What are the measures of ∠a, ∠b, ∠c and ∠d? Explain how to find each of the angle measure.

Mathematics

1 answer:

MissTica2 years ago

4 0

Angle a has a little square box in it, which means right angle, which is equal to 90 degrees.

Angle A = 90 degrees

Angle A m B and the 59 forms a straight line which needs to equal 180

Angle B = 180 - 59 - 90 = 31

Angle B = 31 degrees.

Angle C is a vertical angle with A and B, so Angle C = 90 + 31 = 121 degrees.

Angle D is a vertical angle with 59, so equals 59 degrees.

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How to find slope and y intercept 6x-5y=15?

iogann1982 [59]

We need to put this equation in y = mx + b form because in this form, the slope will be in the m position and the y intercept will be in the b position. So basically, we solve for y.

6x - 5y = 15 ....subtract 6x from both sides
-5y = -6x + 15...divide both sides by -5
(-5/-5)y = (-6/-5)x + (15/-5)...simplify
y = 6/5x - 3

y = mx + b...remember, m is ur slope and b is ur y int
y = (6/5)x + (-3).....ur slope(m) = 6/5 and ur y int (b) = -3

7 0

2 years ago

8. A cable car travels 2236 m to climb a mountain that is 1000 m high. It then travels 1414 m to descend 1000 m on the other sid

frutty [35]

Answer:

3000 m

Step-by-step explanation:

Using Pythagoras theorem

$2236^2=1000^2+|AB|^2\\|AB|^2=2236^2-1000^2\\|AB|^2=3999696\\|AB|=\sqrt{3999696} \\=1999.9$

Similarly

$1414^2=1000^2+|BC|^2\\|BC|^2=1414^2-1000^2\\|BC|^2=999696\\|BC|=\sqrt{999696} \\=999.7m$

Length of the Tunnel = |AB|+|BC|

=1999.9+999.7

=2999.6

=3000 m

4 0

2 years ago

Newborn males have weights with a mean of 3272.8 g and a standard deviation of 660.2 g. Newborn females have weights with a mean

Maksim231197 [3]

The correct option is: a female who weighs 1500 g

Explanation

Formula for finding the z-score is: $z= \frac{X-\mu}{\sigma}$

Newborn males have weights with a mean $(\mu)$ of 3272.8 g and a standard deviation $(\sigma)$ of 660.2 g.

So, the z-score for the newborn male who weighs 1500 g will be.......

$z(X=1500)=\frac{1500-3272.8}{660.2}=-2.685... \approx -2.69$

According to the normal distribution table, $P(z=-2.69)=0.0036 = 0.36\%$

Now, newborn females have weights with a mean $(\mu)$ of 3037.1 g and a standard deviation $(\sigma)$ of 706.3 g.

So, the z-score for the newborn female who weighs 1500 g will be.......

$z(X=1500)=\frac{1500-3037.1}{706.3}=-2.176... \approx -2.18$

According to the normal distribution table, $P(z=-2.18)=0.0146 = 1.46\%$

As we can see that the probability that a newborn female has weight of 1500 g is greater than newborn male, so a newborn female has the weight of 1500 g that is more extreme relative to the group from which he came.

5 0

2 years ago

How do I to problems like "From 45 ft to 92 ft"?

djyliett [7]

Answer:

45tf+47tf=92tf

Step-by-step explanation:

I hope this help you out♊♊ tell me is this correct♊♊♊

3 0

2 years ago

Which expression shows the result of applying the distributive property to −2(13x−15)−2(13x−15) ?

defon

D is the answer good luck

3 0

2 years ago

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