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3 years ago

Please help me, Identify each pair of angles named below as adjacent angles or vertical angles.

Mathematics

1 answer:

jarptica [38.1K]3 years ago

5 0

Adjacent angles:

-ADB and BDC

-BDC and CDE

-CDE and EDF

-FDG and GDA

-GDA and ADB

Vertical angles:

-GDA and CDE

-FDE and ADB

-GDF and BDC

Hope this helps! :)

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The formula for the size of a file that was downloaded over time t and at an average rate r is r.t.

lakkis [162]

Answer:

The size of file downloaded is 88 megabytes.

Step-by-step explanation:

Given that:

Average rate of downloading the file = $r$

Time taken to download = $t$

Formula for the size of file downloaded = $r.t$

Rate of downloading, $r = 800\ kilobytes/sec$

Time taken, $t$ = 110 seconds

To find:

Size of file downloaded in megabytes = ?

Solution:

First of all, let us apply the given formula to find the size of file downloaded:

Size of file downloaded = $r.t$

Size of file downloaded = 800 kilobytes seconds $\times$ 110 seconds =

88000 kilobytes.

Now, let us convert the unit kilobytes to megabytes to find the answer.

Conversion formula:

1000 kilobytes = 1 megabyte

Let us use unitary method to find the number of megabytes in 88000 kilobytes.

1 kilobytes = $\frac{1}{1000}$ megabytes

88000 kilobytes = $\frac{1}{1000} \times$ 88000 megabytes

$\Rightarrow$ 88 megabytes.

Therefore, the size of file downloaded is 88 megabytes.

5 0

3 years ago

Complete the missing parts of the paragraph proof. Draw a perpendicular from P to AB. Label the intersection C. We are given tha

zvonat [6]

1) We are given that PA = PB, so PA ≅ PB by the definition of the radius.

When you draw a perpendicular to a segment AB, you take the compass, point it at A and draw an arc of size AB, then you do the same pointing the compass on B. Point P will be one of the intersections of those two arcs. Therefore PA and PB correspond to the radii of the arcs, which were taken both equal to AB, therefore they are congruent.

2) We know that angles PCA and PCB are right angles by the definition of perpendicular.

Perpendicularity is the relation between two lines that meet at a right angle. Since we know that PC is perpendicular to AB by construction, ∠PCA and ∠PCB are right angles.

3) PC ≅ PC by the reflexive property congruence.

The reflexive property congruence states that any shape is congruent to itself.

4) So, triangle ACP is congruent to triangle BCP by HL, and AC ≅ BC by CPCTC (corresponding parts of congruent triangles are congruent).

CPCTC states that if two triangles are congruent, then all of the corresponding sides and angles are congruent. Since ΔACP ≡ ΔBCP, then the corresponding sides AC and BC are congruent.

5) Since PC is perpendicular to and bisects AB, P is on the perpendicular bisector of AB by the definition of the perpendicular bisector.

The perpendicular bisector of a segment is a line that cuts the segment into two equal parts (bisector) and that forms with the segment a right angle (perpendicular). Any point on the perpendicular bisector has the same distance from the segment's extremities. PC has exactly the characteristics of a perpendicular bisector of AB.

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3 years ago

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Multiple Choice question

Veronika [31]

SERIOUSLY?!?!?! the anser is the second one there are noe letters so b

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3 years ago

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Window design. A triangular window on Ross camp's new scary boat has two sides that measure 87 centimeters 64 centimeter, respec

krek1111 [17]

Since the perimeter must not exceed 291.
Let the third side be x.

x + 87 + 64 < 291
x + 151 < 291.
x < 291 -151.
x < 140. (First)

But for a triangle there is what is called the Triangle Inequality Theorem. That given the two sides of a tringle, the third side of the triangle must greater than the positive difference between the two sides and less than the sum of the two sides.

So for this case. 87 and 64.

x > ( 87 - 64). x > 23.
x < (87 + 64) x < 151. Combine both inequalities.

23 < x < 151 (second).

Combining First and second. Both must be satisfied.
So we have a more accurate answer as:

23 < x < 140. x is greater than 23 and x is less than 140.

x could be 24, 25, 26, 27, ......, 139. cm.

I hope this helps.

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3 years ago

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Tell whether the number is prime or composite 68

Readme [11.4K]

68 is a composite number

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3 years ago