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Softa [21]
3 years ago
6

Which triangle is congruent to triangle PQR

Mathematics
1 answer:
alexgriva [62]3 years ago
4 0

Answer:

Triangular PQR is congruent to triangular ABC

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Monica and Michael both want to buy a scooter. Monica has already saved $25 and plans to save $5 per week. Michael has $16 and p
Anna71 [15]

3 weeks

Step-by-step explanation:

To find the number of weeks, we have to equate the amount already saved and planned to save by both each week.

So we can write the expression as,

Let w be the number of weeks.

25 + 5w =16 + 8w

Grouping the terms as,

25 - 16 = 8w - 5w

9 = 3w

Dividing both sides by 3, we will get,

3w/3 = 9/3

 w = 3

So number of weeks = 3

5 0
3 years ago
(5+2 i)(4-3i) - (5-2yi)(4-3i) in a + bi form, where y is a real number.
ElenaW [278]
<span>(5+2 i)(4-3i) - (5-2yi)(4-3i)

Factorize out (4 -3i)

(4 -3i)( (5 +2i) - (5 -2yi) )

=  </span><span><span>(4 -3i)(5 +2i - 5 + 2yi)</span>

=  </span><span><span>(4 -3i)(5 - 5 + 2i + 2yi)</span>

= (4 -3i)(2i + 2yi)

= (4 - 3i)(2 + 2y)i.    Let's multiply the first two.
</span>
(4 - 3i)(2 + 2y) = 2*(4 -3i) + 2y*(4 - 3i)           
                      =  8 - 6i + 8y - 6yi
                      =  8 + 8y - 6i - 6yi

(4 - 3i)(2 + 2y)i = (8 + 8y - 6i - 6yi)i                Note: i² = -1
                       =  8i  + 8yi - 6i² - 6yi²
                       =  8i  +  8yi - 6(-1) - 6y(-1)  
                       =  8i  +  8yi  + 6 + 6y
                       =  6 + 6y + 8i + 8yi
                       =  (6 + 6y) + (8 + 8y)i    In the form a + bi
5 0
3 years ago
What the hypothenuse of a right with length of 6 and 8
Aloiza [94]
This is a pythagorean triple --> 3-4-5
Although you notice it is doubled but with the same pattern --> 6-8-10

Thus, the hypotenuse is 10. 
8 0
3 years ago
Read 2 more answers
Match the following items.<br> Plane<br> Point<br> Line<br> Ray<br> Line segment
Sophie [7]

Answer:

The first one is a line because a line extends infinitely in both directions which the arrows indicate.

The second one is a plane since it is a 2-dimensional shape.

The last one depicts 2 rays because rays have one endpoint, but extend infinitely in the other direction.

8 0
3 years ago
Ken has made a selection of square jam sandwiches for a party, which he arranges in a single layer on the table in a perfect rec
Vesnalui [34]
Perimetre + 4 = area
Each person must have made 24
8 0
3 years ago
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