MATHEMATICS HIGH SCHOOL

Solve the equation.
15x^2 – 28x + 5 = 0

Answers

Answer 1
Answer:

Answer:

Step 1: Factor left side of equation.

(5x−1)(3x−5)=0

Step 2: Set factors equal to 0.

5x−1=0 or 3x−5=0

x=

1/5

or x=

5/3
Answer 2
Answer:

Answer:::::::::

x=5/3 or x=1/5

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Pls help i have to turn this in by tommorrow
Round 7 3/7 to the nearest whole number.

What is x?Triangle L M N has a lie segment going from point M to point O, which is on side L N. Angles L M O and N M O are equal in measure. Line segment M N is twelve centimeters, line segment N O is five centimeters, line segment P L is fourteen centimeters and line segment L M is x centimeters long.

Question 3 options:

x equals 35 over 6


x equals 30 over 7


x equals 168 over 5


x equals 196 over 19

Answers

Answer:

Option 3) 24 is right.

Step-by-step explanation:

Given in the picture is a triangle LMN. sides are MN = 12, LN = 21 and LM = x cm

Also MO is the angle bisector of angle M.

By applying angle bisector theorem for triangles we get

LM/MN = LO/NO

i.e. x/12 = 14/7

Simplify to get x = 24

Hence option 3 is right

Verify:

Check whether angle bisector theorem is true.

The proportion LM/MN =24/12 = 2

The proportion LO/NO  =14/7 =2

Both are equal and hence verified
I don’t know the answer to the question

How many degrees Celsius is 51°F?

Answers

Answer:

10.56

Step-by-step explanation:

51°F − 32) × 5/9 = 10.56°C

Answer:

10.56°C

Step-by-step explanation:

Hope this helps!

In PQRS, PR and QS intersect at T. What additional information is needed to conclude that PQRS is a rectangle

Answers

If it's congruent and similar

16. At a certain university the student to teacher ratio is 16:1. If there are 2,000 students enrolled, how many teachers must be employed to maintain this ratio?A. 200
B. 28,000
C. 125
D. 215

Answers

The correct answer is:

C. 125

Explanation:

The student to teacher ratio is 16:1.  This can also be written as 16/1.

We can use this to write a proportion and solve for the amount of teachers required.  We know that the total number of students is 2000, and the amount of teachers unknown; this gives us the ratio 2000/x.  This gives us the proportion

16/1 = 2000/x

Cross multiplying, we have

16(x) = 1(2000)

16x = 2000

Divide both sides by 16:

16x/16 = 2000/16

x = 125

Which angle measure less than or equal to 360° is equivalent to an angle of 17pi/4

Answers

Answer:

Therefore, The required measure of the angle is 45°  

Step-by-step explanation:

\text{The angle is given to be : }(17\pi)/(4)

Now, the value of angle π is equivalent to 180°

So, finding the value of the given angle in degrees

\implies\text{The degree measure of the given angle = }(17)/(4)* 180=765

Now, the angle is 765°

We need to find the angle which measures less than or equal to 360° and is equivalent to 765°

765 = 360 × 2 + 45°

So, 360° angle is 45° less than the given angle.

Therefore, The required measure of the angle is 45°

The correct answer is

45 degrees

:)

A polygon has 35 diagonals. How many sides does it have?

Answers

d=35\n d=(n(n-3))/(2)\n d=(n(n-3))/(2)\n35=(n(n-3))/(2)\n 70=n^2-3n\n n^2-3n-70=0\n n^2-10n+7n-70=0\n n(n-10)+7(n-10)=0\n (n+7)(n-10)=0\n n=-7 \vee n=10\n\n n=10
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