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3 years ago

If two distinct lines intersect, which MUST be true?

Mathematics

1 answer:

emmainna [20.7K]3 years ago

7 0

Answer:

Answer options

A) the lines are parallel

B) the lines are perpendicular

C) the lines form angles at the intersection

D) the lines form right angles at the intersection

the answer is C

Step-by-step explanation:

I got it right on my test

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I need to know if it’s A B C OR D

Liula [17]

SOLUTION

Consider the property, opposite angle of a cyclic quadrilateral are supplementary

hence

$\angle NMP+\angle NOP=180^0$

Recall that

$\begin{gathered} \angle NMP=\angle M=(8x-24)^0 \\ \text{and } \\ \angle NOP=\angle O=(4x)^0 \end{gathered}$

Hnece, we have that

$\begin{gathered} \angle M+\angle O=180^0(opposite\text{ angles of a cyclic quadrilateral)} \\ (8x-24)^0+4x^0=180^0 \end{gathered}$

Then

$\begin{gathered} 8x-24+4x=180 \\ 8x+4x-24=180 \\ 12x-24=180 \\ \text{Add 24 t o both sides } \\ 12x-24+24=180+24 \\ 12x=204 \\ \text{divide both sides by 12} \\ \frac{12x}{12}=\frac{204}{12} \\ \text{Then} \\ x=17 \end{gathered}$

Hence

x=17

Since

$\begin{gathered} \angle NOP=(4x)^0 \\ \text{substitute the value of x, we have } \\ \angle NOP=4\times17=68^0 \\ \text{Hence } \\ \angle NOP=68^0 \end{gathered}$

Therefore

The measure of angle NOP is 68⁰

Answer; 68⁰ (The fourth Option )

5 0

1 year ago

A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line? Help me please

joja [24]

Step-by-step explanation:

If it's a straight line the use formula

$y = mx + c$

m= gradient of line

c = y-intercept

we know that y-intercept is 4 so coordinate is

(0,4)

Equation also passes (2,10)

Use both coordinate to find gradient

m= vertical distance / horizontal distance

= (10-4) / (2-0)

= 3

y = 3x + 4

6 0

3 years ago

Compare the two functions in the table. Will the value of function y = 2x eventually exceed the value of function y = x10?

Andrew [12]

First we rewrite the functions:
y = 2x
y = x ^ 10
We note that the second function always has values of y greater than the first function. However, there is a value of x for which the first function is greater.
For x = 1 we have:
y = 2 (1) = 2
y = (1) ^ 10 = 1
We note that:
2> 1
Answer:
Yes, the value of function y = 2x eventually exceed the value of function y = x ^ 10.

5 0

3 years ago

Read 2 more answers

Help me with this question please

notka56 [123]

The answer is C, 6 x 4 = 24!

5 0

3 years ago

What is the volume of the prism<br> 384cm3<br> 320cm3<br> 192cm3<br> 240cm3

Svetradugi [14.3K]

First it is important to notice that the b is 6, h is 8 and l is? so we find l by using the trigonometry which gives us approximately 13, then we plug it in to V= 1/2 lbh= 1/2 (6)(8)(13)= 312 cm^3

8 0

4 years ago