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3 years ago

Solve for x, 3x+5=14

Mathematics

1 answer:

sweet [91]3 years ago

8 0

Answer:

x = 3

Step-by-step explanation:

First, isolate the variable by subtracting 5 on both sides:

3x=9

Then, divide both sides by 3:

x = 3

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Consider the circle where QR = 7 units and UT= 4 units. What is the value of X, if x represents the length of segment ST? A. 15

julia-pushkina [17]

Option C:

x = 6 units

Solution:

QR = 7 units, RS = 5 units, UT = 4 units and ST = x

If two secants intersect outside a circle, the product of the secant segment and its external segment s equal to the product of the other secant segment and its external segment.

⇒ SR × SQ = ST × SU

⇒ 5 × (5 + 7) = x × (x + 4)

⇒ 5 × 12 = x² + 4x

⇒ 60 = x² + 4x

Subtract 60 from both sides.

⇒ 0 = x² + 4x - 60

Switch the sides.

⇒ x² + 4x - 60 = 0

Factor this expression, we get

(x - 6)(x + 10) = 0

x - 6 = 0, x + 10 = 0

x = 6, x = -10

Length cannot be in negative measures.

x = 6 units

Option C is the correct answer.

6 0

3 years ago

A random sample of 20 students from both the Science and Math club were surveyed about what supplies they would like to purchase

alekssr [168]

Answer:

84 students

Step-by-step explanation:

See the attached table

As shown there are 20 students from Math club, 7 of them would like to choose calculators.

so, the probability of students who choose calculators = 7/20

If there are 240 students in the Math club

So, the number of students expected to choose calculators = 240 * 7/20

So, the number of students = 84 students

6 0

3 years ago

In the diagram m<4 is (7x+7),m<2 is (4x+4), and <3 is (4x ? 9). what are m<4 and m<1

kykrilka [37]

Answer:

Step-by-step explanation:

7x-11=4x+4(being vertically opposite angles)

7x-4x=4+11

3x=15

x=15/3

x=5

angle 2+angle1=180 degree(being straight line)

7x-11+angle 1=180

7*5-11+angle 1=180

35-11+angle1=180

24+angle 1=180

angle 1=180-24

angle 1=156 degree

3 0

2 years ago

0=x^2-20 can you solve using square root formula? Then by using quadratic formula?

Nastasia [14]

Sqrt(x^2) = sqrt(20)

x = +2sqrt(5)
x = -2sqrt(5)

x1 = (- 0 + sqrt(0^2 - 4*1*(-20))) / (2*1)
X2 = (-0 - sqrt(0^2 - 4*1*(-20))) / (2*1)

8 0

3 years ago

Verifique se os numeros 15,20 e 30 sao diretamente proporcionais aos numeros 24,32 e 48

Vikki [24]

We are given to check

whether these numbers are proportional

we know that any set of numbers are proportional when their ratios are equal

so, firstly we will ratios

First set of numbers:

We are given first set of numbers as 15 , 20 and 30

so, it's ratio is

$15:20:30$

now, we can simplify it

$5\times 3:5\times 4:5\times 6$

Since, common factor is 5

so, we can cancel 5

and we get

$3:4:6$

Second set of numbers:

We are given first set of numbers as 24 , 32 and 48

so, it's ratio is

$24:32:48$

now, we can simplify it

$8\times 3:8\times 4:8\times 6$

Since, common factor is 8

so, we can cancel 8

and we get

$3:4:6$

We can see that both sets of numbers are having same ratios

so, they are proportional.........Answer

4 0

3 years ago