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Bond [772]
2 years ago
8

There are 500 students in a school, 220 like science subject, 180 like math and 40

Mathematics
1 answer:
zmey [24]2 years ago
3 0

Answer:

science only is 220

math only is 180

either math or science is 60

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Need help on 20. Prove that a and b are parallel
Serjik [45]

a and b are parallel because 114 = 66+48 = 114, these two angles are the same because they are alternate exterior angles, and they couldn't be the same if a and b are not parallel.

4 0
3 years ago
Expanded form using fractions 1/100
makkiz [27]

Answer:

Standard form: 1

Step-by-step explanation

expanded notation form: 1

expanded factors form: 1x1

expanded exponential for 1x 10^0

4 0
3 years ago
Ben uses a compass and a straightedge to bisect angle PQR, as shown below: The figure shows two rays QP and QR with a common end
maria [59]

Answer:

The correct option is;

∠AQS ≅ ∠BQS when AS = BS

Step-by-step explanation:

Given that AQ is equal to BQ. When AS is drawn congruent to BS, we have;

QS is congruent to SQ by reflective property

Therefore;

The three sides of triangle QAS are congruent to the three sides of triangle QBS, from which we have;

∠AQS and ∠BQS are corresponding angles, therefore;

∠AQS ≅∠BQS because corresponding angles of congruent triangles are also congruent.

6 0
2 years ago
Read 2 more answers
Evaluate e/4 +2f when e=12 and f =1/2
allochka39001 [22]
12/4 = 3 + 2x 1/2
Divide and then multiply and your answer will be 4
5 0
2 years ago
What is the perimeter P of △DEF to the nearest whole number?
schepotkina [342]

Answer:

perimeter of ΔDEF  ≈ 32

Step-by-step explanation:

To find the perimeter of the triangle, we will follow the steps below:

First, we will find the length of the side of the triangle DE and FF

To find the length DE, we will use the sine rule

angle E  = 49 degrees

e= DF = 10

angle F = 42 degrees

f= DE =?

we can now insert the values into the formula

=  

cross-multiply

f sin 49° = 10 sin 42°

Divide both-side by sin 49°

f = 10 sin 42° / sin 49°

f≈8.866

which implies DE ≈8.866

We will now proceed to find side EF

To do that we need to find angle D

angle D + angle E + angle F = 180°  (sum of interior angle)

angle D + 49° + 42° = 180°

angle D + 91° = 180°

angle D= 180° - 91°

angle D = 89°

Using the sine rule to find the side EF

angle E = 49 degrees

e= DF = 10

ange D = 89 degrees

d= EF = ?

we can now proceed to insert the values into the formula

=  

cross-multiply

d sin 49° = 10 sin 89°

divide both-side of the equation by sin 49°

d= 10 sin 89°/sin 49°

d≈13.248

This implies that length EF = 13.248

perimeter of ΔDEF = length DE + length EF + length DF

                                  =13.248   +  8.866  + 10

                                   =32.144

                                    ≈ 32 to the nearest whole number

perimeter of ΔDEF  ≈ 32

6 0
3 years ago
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