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Inessa05 [86]
3 years ago
11

Please write the equation

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
3 0

the equation is 21 * 5 - 5 and that shall equal ur answer


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

</span>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. 

<span>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. </span>
6 0
3 years ago
Read 2 more answers
during one month the orangevale parks and recreation district spent $5720 for various activities. they spent $1430 on mommy and
AysviL [449]

To solve this problem, we must figure out what percent of the total spending was spent on mommy and baby exercise programs. To figure this out, we should divide how much was spent on the mommy and baby exercise by the total amount spent on the district activities.

$1430/$5720 = 0.25

This is a percentage, or a portion out of 100, which means we must multiply this decimal by 100 to find its equivalent percentage.

0.25 * 100 = 25

Therefore, your answer is 25% of the total spending was spent on mommy and baby exercise programs.

Hope this helps!

5 0
3 years ago
The total number of people who visitedthe ocean adventure park last year was 7,040,836 . What is the valur of the digit 4 in thi
Vesna [10]
The total number of people who visitedthe ocean adventure park last year was 7,040,836

In 7,040,836, there are FOUR digits after 4.

To find value of 4, just put FOUR zeroes after 4

Thus, Value of 4 = 40000
5 0
3 years ago
Is the point (2, 2 1/2) on the graph of y=x+2? How do you know?
Ksenya-84 [330]

Answer:

No, it is not on the graph.

Step-by-step explanation:

Plug in (2, 2 \frac{1}{2}) to y = x + 2

(2 \frac{1}{2}) = (2) + 2

2\frac{1}{2} \neq 4

6 0
3 years ago
Find the measure of the missing angels.
Leviafan [203]

Answer:

'b' and 'c' = 119 degrees

Step-by-step explanation:

Given that this is a basic intersection of straight lines, we can assume 'b' and 'c' are equal as well as the given angle and it's opposite. Given 61 degrees and and two straight lines we can just take 180 degrees - 61 degrees and we get 119 degrees, I solved for 'b', but this will give the same answer for 'c', as 'b' and 'c' are equal.

6 0
3 years ago
Read 2 more answers
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