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2 years ago

What is the next step in this construction?

Mathematics

2 answers:

bezimeni [28]2 years ago

8 0

<u>Answer:</u>

The correct answer option is B. Construct a line perpendicular to XP through point A.

<u>Step-by-step explanation:</u>

We are given an incomplete figure of construction of a perpendicular line and we are to determine whether which of the given answer options is the next step in the construction.

From the given marks, we can deduce that a perpendicular line to XY is being constructed, passing through P.

So the next step must be to construct a line perpendicular to XP through point A to complete the construction.

IrinaVladis [17]2 years ago

6 0

<h2>Answer:</h2>

The next step in the construction is:

Construct a line perpendicular to XP through point A.

<h2>Step-by-step explanation:</h2>

From the given construction we may observe that the construction is of a line segment perpendicular to line segment XY.

The steps of construction are as follows:

1) Take a line segment XY.

2) Take a compass and open the compass more than half the length of XY and then make the arc by keeping the compass one's at X and then at Y.

3) The point where the arc meet draw a straight line such that it pass through the point P.

4) AP will be the perpendicular line to XY and point P is the mid-point of XY.

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Work out the size of AED. Work out x

Monica [59]

Answer:

a). m∠AED = 70°

b). x = 10°

Step-by-step explanation:

a). Quadrilateral ABDE is a cyclic quadrilateral.

Therefore, by the theorem of cyclic quadrilateral,

Sum of either pair of opposite angle is 180°

m(∠AED) + m(∠ABD) = 180°

m(∠AED) = 180° - 110°

m(∠AED) = 70°

Since, ∠AED ≅ ∠EAD

Therefore, m∠AED = m∠EAD = 70°

b). By triangle sum theorem in ΔABD,

m∠ABD + m∠BDA + m∠DAB = 180°

110° + 40° + m∠DAB = 180°

m∠DAB = 180° - 150°

m∠DAB = 30°

m∠BAE = m∠EAD + m∠BAD

= 70° + 30° = 100°

By angle sum theorem in ΔACE,

m∠EAC + m∠AEC + m∠ACE = 180°

100° + 70° + x° = 180°

x = 180° - 170°

x = 10°

4 0

3 years ago

SOMEONE HELP ME PLEASE

Nikolay [14]

Answer:

<h3>Angle 6 = 101°</h3><h3>Angle 5 = 79°</h3><h3>Angle 7 = 79</h3>

Step-by-step explanation:

Angle 6 will 101°

This is because we can see that Angle 4 is alternate interior angle to Angle 6 and alternate interior angles are always equal.

<h2>So angle 6 will be 101°</h2>

Angle 7 = 79°

Here we can see that Angle 6 and angle 7 are supplementary which means it has a measure of 180°

So the value of Angle 7 will be

$180 - 101 = 79$

<h2>Hence the measure of angle 7 will be 79°</h2>

Angle 5 = 79°

Angle 7 and Angle 5 is vertically opposite to each other and we know that vertically opposite angles are always equal so the measure will be 79°

<h3>Hence the measure of Angle 5 will be 79°</h3>

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2 years ago

A magazine contains thirteen pages. You

n200080 [17]

Answer:

Step-by-step explanation:

because your more likely to open to a page deeper in the magazine

5 0

3 years ago

What is an expression to represent the equation

Tatiana [17]

Answer:

8 + $\frac{x}{4}$

Step-by-step explanation:

I'm assuming you want an answer to the top section of the question.

We can start with 8.

When a problem asks for the sum, it's looking for addition, so we use the + sign.

8 +

The problem says "a number," so let's represent that with x. Basically, x just means a number we don't know.

8 + x

The "number" is divided by 4, so we'll just put x/4 as our second term.

8 + $\frac{x}{4}$

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3 years ago

What has to be true for the triangles to be congruent?

natita [175]

Answer:

Step-by-step explanation:

Argument

I think the answer is A = N or D. It that is true, then M = C because all three angles are equal which gives similarity. But there is a side involved. OM = CB. Therefore the two triangles are congruent by ASA

Answer

ASA

5 0

1 year ago