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BigorU [14]
3 years ago
7

If AB vector =(4 5) and PQ vector=(2p 10) are parallel to each other, find the value of p.​

Mathematics
1 answer:
Sedaia [141]3 years ago
8 0

Answer:

Answer:

They both have q+3/2p, so that means that 2PQ=CB and that means they are parallel to each other

Step-by-step explanation:

PQ=PA+QA

PQ=1/2(2q-p)+2/5*5p=q-1/2p+2p=q+3/2p

CB=2q+3p=2(q+3/2p)

Other explanation: It should be written like this PQ=q+3/2p and CB=2q+3p=2(q+3/2p) they are parallel bcs CB=2*PQ.

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OAA', OBB', and OCC' are straight lines. Triangle ABC is mapped onto Triangle A'B'C' by an enlargement with center O. What is th
bazaltina [42]

Answer:

(D) 2

Step-by-step explanation:

The scale factor of the enlargement of ΔABC to ΔA'B'C' is given by the ratio of the length of the corresponding sides of ΔA'B'C' and ΔABC

Therefore, we have;

The \ scale \ factor = \dfrac{Length \ of \overline  {B'C'}}{Length \ of \overline {BC}} =  \dfrac{Length \ of \overline  {A'C'}}{Length \ of \overline {AC}} =  \dfrac{Length \ of \overline  {A'B'}}{Length \ of \overline {AB}}

\dfrac{Length \ of \overline  {B'C'}}{Length \ of \overline {BC}} =  \dfrac{2 \ units}{1 \ unit} = 2

\dfrac{Length \ of \overline  {A'C'}}{Length \ of \overline {AC}} =  \dfrac{4 \ units}{2 \ units} = 2

\dfrac{Length \ of \overline  {A'B'}}{Length \ of \overline {AB}} =  \dfrac{2 \cdot \sqrt{5}  \ units}{\sqrt{5}  \ units} = 2

Therefore, the scale factor = 2

6 0
3 years ago
What would the answer be??
Liono4ka [1.6K]

Answer:

38°

Step-by-step explanation:

a²=b²+c²-2bc cos A

5²=3²+7²-2(3)(7) cos A

-33 = -42 cos A

A = cos^{-1}(-33/-42)

A = 38°

5 0
3 years ago
Jon is looking into a 4250 vacation package that is offered for 25% off. there's a 9% resort fee added on to the total. How much
bazaltina [42]
When you want to find a percent of a number you do this:
given number/ 1   multiplied by   percentage/100

so in this question its a multiple step 

start with finding 25 percent of 4250 which is= 1062.5
so thats how much the discount is so the amount after the 25% discount is:
4250-1062.5= 3187.5

then you have to add 9% due to fees
so you find 9% of 3187.5 which is= 286.875
so you add 286.875 to 3187.5 gives you= 3437.375 in total cost for the vacation package
8 0
3 years ago
I know the answers but i need the work. plz help
inysia [295]
For number 3.

You add 8 to both sides as you need to separate the variable

4x-8=32
+8 +8

4x=32

now divide 32 by 4

x=8

for number 4

you use pemdas to multiply the parenthisis

2(x-5)=-20

(2•x)-(2•5)

2x-10=-20

then add 10 to both sides

2x-10=-20
+10 +10

2x=10

divide 10 by two

x=5


5 0
3 years ago
Sammy is an hourly employee who makes $26 per hour as an elevator technician. He is paid overtime $13 for every hour that he wor
oksian1 [2.3K]

Answer:

364$

Step-by-step explanation:

you multiply 26 times 13 which equals 364

8 0
4 years ago
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