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Mekhanik [1.2K]
3 years ago
5

Line d is parallel to line c in the figure below. Parallel lines d and c are intersected by lines q and p to form 2 triangles. A

t lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6. Which statements about the figure are true? Select three options. Vertical angles prove that Angle 2 is congruent to angle 5. In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles. Vertical angles prove that Angle 3 is congruent to angle 6. The triangles are similar because alternate interior angles are congruent. In the two similar triangles, Angle 2 and Angle 4 are corresponding angles. The triangles are similar because corresponding sides are congruent.
Mathematics
1 answer:
sammy [17]3 years ago
7 0

Answer:If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel. Interior Angles on the Same Side of the Transversal: The name is a description of the "location" of the these angles.

Step-by-step explanation:

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Can someone help me with the question in the image. if correct i will mark as brainliest
Andrews [41]

Answer: i think its B

Step-by-step explanation:

5 0
3 years ago
A, B, and C are collinear points, where B is between A and C. Find x if AB = x, BC = x + 6, and AC = 24. Then find the measures
Alekssandra [29.7K]

Answer:

AB = 9, BC = 15

Step-by-step explanation:

Since, A, B, and C are collinear points, where B is between A and C. i. e. A - B - C

\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \:  \frac{18}{2}  = x \\  \therefore \: x = 9

\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \:  \frac{18}{2}  = x \\  \therefore \: x = 9 \\  \because \: AB  = x \\  \huge \red{ \therefore AB  = 9} \\  \\  \because \:BC = x + 6 \\  \therefore \: BC = 9 + 6 \\ \huge \purple{ \therefore \: BC = 15}

8 0
3 years ago
HELP PLEASE. URGENT TIMED QUIZ.
Fittoniya [83]

Answer: a

Step-by-step explanation: Because……….

3 0
2 years ago
Which sentence can represent the inequality 2.4 (6.2 minus x) greater-than negative 4.5?
-BARSIC- [3]

Answer: Choice B

Two and four tenths multiplied by the difference of six and two tenths and a number is more than negative four and five tenths.

======================================================

Explanation:

2.4 = 2 + 0.4

2.4 = 2 and 4/10

2.4 = 2 and 4 tenths

2.4 = two and four tenths

-------------------

Through similar reasoning,

6.2 = six and two tenths

And also,

-4.5 = negative four and five tenths

---------------------

Notice how 6.2 - x translates into "difference of six and two tenths and a number"

We then multiply that by 2.4, aka two and four tenths.

So that's how we get the phrasing "Two and four tenths multiplied by the difference of six and two tenths and a number"

All of this is greater than -4.5 aka negative four and five tenths.

This points us to Choice B as the final answer.

7 0
3 years ago
Read 2 more answers
a. For what values of x does f (x )equals 3 x plus 3 sine x have a horizontal tangent​ line? b. For what values of x does f (x )
laila [671]

Answer:

(a)Therefore the value of x=\pi

(b) Therefore the value of x =\frac{\pi}{2}

Step-by-step explanation:

Horizontal tangent line: The first order derivative of a function gives the slope of the tangent of the function. The slope of horizontal line is zero.If the slope of tangent line is zero then the tangent line is called horizontal tangent line.

(a)

Given function is,

f(x)= 3x+3sin x

Differential with respect to x

f'(x)=3+3cos x

For horizontal tangent line, f'(x)=0

3+ 3 cos x= 0

⇒3 cos x=-3

⇒cos x=-1

⇒x = 180° =\pi

Therefore the value of x=\pi

(b)

Given that, the slope is 3.

Then,f'(x)=3

3+ 3 cos x= 3

⇒3 cos x= 3-3

⇒cos x=0

⇒x = 90° =\frac{\pi}{2}

Therefore the value of x =\frac{\pi}{2}

5 0
3 years ago
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