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svet-max [94.6K]
4 years ago
14

In the diagram below line an and cd are

Mathematics
1 answer:
daser333 [38]4 years ago
6 0

Answer:

I THINK IT IS B BECAUSE IT WOULD MAKE SENCE

Step-by-step explanation:

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Write an equation in point point-slope form of the line having the given slope that contains the point m=4, (2,5)
Nataly_w [17]

Answer:

\large\boxed{y-5=4(x-2)}

Step-by-step explanation:

The point-slope form of an eqution of a line:

y-y_1=m(x-x_1)

<em>m</em><em> - slope</em>

<em>(x₁, y₁)</em><em> - point on a line</em>

<em />

We have

m=4,\ (2,\ 5)\to x_1=2,\ y_1=5

Substitute:

y-5=4(x-2)

8 0
3 years ago
In this diagram below, DE is parallel to XY. What is the value of y?
yuradex [85]
A, or 122. When you know those two lines are parallel with that one line intersecting them both, their larger angles will be equal and their smaller angles will also be equal to each other. 
7 0
3 years ago
Read 2 more answers
A person draws a card from a hat. Each card is one color with the following probabilities of being drawn: 1/10 for red, 1/5 for
Kay [80]

Answer:

\dfrac{1}{4}

Step-by-step explanation:

We are given that a card is drawn from a hat.

Probability that a red card is drawn, P(red) = \frac{1}{10}

Probability that a blue card is drawn, P(blue) = \frac{1}{5}

Probability that a black card is drawn, P(black) = \frac{1}{20}

Probability that a pink card is drawn, P(pink) = \frac{1}{5}

All these events are mutually exclusive i.e. they do not have anything in common.

For any two events A and B which are mutually exclusive, with probability P(A) and P(B), the probability that any one of the two events occur:

P(A\cup B) = P(A) + P(B)

Here event A can be thought of as drawing a blue card and

event B can be thought of as drawing a black card

So, P(blue or black) = P(blue) + P(black)

\Rightarrow \dfrac{1}{5}+\dfrac{1}{20}\\\Rightarrow \dfrac{4+1}{20}\\\Rightarrow \dfrac{5}{20}\\\Rightarrow \dfrac{1}{4}

So, the probability that a blue or black card is drawn from the hat:

\dfrac{1}{4}

8 0
3 years ago
What is the measure of EAC?
Sedaia [141]

Answer:

D. 280°

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached below.

From the diagram,

arc EAC = arc EAB + arc BC ... (1)

Note that arc EAB is the angle on the straight line EB and since sum of angle on a straight line is 180°, arc EAB = 180°

Next is to get the arc BC. It can be seen from the diagram that arc BC + arc CD + arc DE = 180°

Given arc CD = 25°, arc DE = arc AB = 55° (since the diameter AD and BE are the same). On substituting this values we will have:

arc BC + 25°+55° = 180°

arc BC = 180° - 80°

arc BC = 100°

Remember from initial equation 1 that arc EAC = arc EAB + arc BC

arc EAC = 180°+100°

arc EAC = 280°

The measure of EAC is therefore 280°

3 0
4 years ago
Read 2 more answers
The sum of two numbers is 39. The second number is 3 more than three times the first number. Let x represent the first number an
GenaCL600 [577]

Answer:

The\: value \:of\: the\: first\: number\:is\:9

Step-by-step explanation:

We\:have\:a\:system\:of\:equation:\\\left \{ {{x+y=39} \atop {3x+3=y}} \right. \\\Leftrightarrow \left \{ {{39-x=y} \atop {3x+3=39-x}} \right. \\\Leftrightarrow \left \{ {{39-x=y} \atop {4x=36}} \right. \\\Leftrightarrow \left \{ {{y=39-9} \atop {x=9}} \right. \\\Leftrightarrow \left \{ {{y=30} \atop {x=9}} \right. \\\Rightarrow x=9

6 0
3 years ago
Read 2 more answers
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