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3 years ago

For the given true statements, what can you conclude?

Mathematics

2 answers:

grandymaker [24]3 years ago

6 0

Answer:

D:QR+RS=QS

Step-by-step explanation:

We are given that

If point A, B and C are collinear, B is between A nd C, then AB+BC=AC

Points Q, R and S are collinear and R is between Q and S.

We have to find the conclusion about given statement.

If R lie between Q and R

Then, QR+RS=QS (segment addition property)

Because point Q, R and S are collinear.

Therefore, option D is true.

Answer:D:QR+RS=QS

sergey [27]3 years ago

4 0

The answer is QR+RS=QS

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Its a math test again-

Step2247 [10]

Answer:

A. t > 2.5

Step-by-step explanation:

If she wants to achieve more than 590, we already know the sign would be greater than (>).

All we have to do is divide 590/236, which gives us 2.5.

Therefore, she will have to ride more than 2.5 hours to reach her goal, t > 2.5

Hope this helps :)

Good luck on your test.

3 0

3 years ago

The 10th, 4th and 1st term of an A.P are three consecutive find the common ratio of the G.P and the sum of the 6th term, taking

valina [46]

Answer:

S_6 = 252

Step-by-step explanation:

We are told that the 10th, 4th and 1st term of an A.P are three consecutive terms of a G.P.

Now,formula for nth term of an AP is;

a_n = a + (n - 1)d

Thus;

a_10 = a + (10 - 1)d

a_10 = a + 9d

Also;

a_4 = a + (4 - 1)d

a_4 = a + 3d

First term is a.

Thus, since they are consecutive terms of a G.P, it means that;

(a + 9d)/(a + 3d) = (a + 3d)/a

Cross multiply to get;

a(a + 9d) = (a + 3d)(a + 3d)

a² + 9ad = a² + 6ad + 9d²

a² will cancel out to give;

9ad - 6ad = 9d²

3ad = 9d²

Divide both sides by 3d to get;

a = 3d

We are told that the first term is 4.

Thus, 4 = 3d

d = 4/3

We saw earlier that ratio of the GP is (a + 3d)/a

Thus; r = (4 + 3(4/3))/4 = 8/4 = 2

Sum of n terms of a G.P is given by;

S_n = a(rⁿ - 1)/(r - 1)

S_6 = 4(2^(6) - 1)/(2 - 1)

S_6 = 252

8 0

3 years ago

If the discriminant if a qudratic equation is 4, which statement describes the roots?

pochemuha

Answer:

see explanation

Step-by-step explanation:

The value of the discriminant determines the nature of the roots

• If b² - 4ac > 0 then roots are real and distinct

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 then roots are not real

Here b² - 4ac = 4 > 0

Hence roots are real and distinct

8 0

3 years ago

Figure ABCDE has vertices A(−2, 3), B(2, 3), C(5, −2), D(0, −3), and E(−2, −2). Plot the points on your own coordinate grid and

IrinaVladis [17]

Answer:

i will say a or b

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Help please. I'm stuck

jok3333 [9.3K]

Answer:

The numbers are 65, 67, and 69

Step-by-step explanation:

Hi there!

We need to find 3 consecutive odd integers.

Consecutive numbers are numbers that follow each other (ex. 1, 2, 3, 4)

We're given that 5 times the first number + 4 times the second + 3 times the third = 800

Let's make the first number x

Since the second number is consecutive to the first and odd, it will be x+2 (Why? Well, let's say x is 5. In that case, x+1=6, which is even. However, x+2=7)

Therefore, the third number is x+4 (once again, if x is 5, x+3=8, but x+4=9)

5 times the first number is 5x

4 times the second is 4(x+2)

3 times the third is 3(x+4)

And of course, that equals 800

As an equation, it'll be:

5x+4(x+2)+3(x+4)=800

open the parenthesis

5x+4x+8+3x+12=800

combine like terms

12x+20=800

Subtract 20 from both sides

12x=780

Divide by 12 on both sides

x=65

The first number is x, so the first number is 65

The second number is x+2, or 65+2=67

The third number is x+4, or 65+4=69

Hope this helps!

8 0

3 years ago