All categories

3 years ago

Suppose S is between R and T. Use the Segment Addition Postulate to solve for z.. RS=2z+6, ST=4z−3, RT=5z+12

Mathematics

1 answer:

Lynna [10]3 years ago

7 0

Answer:

Step-by-step explanation:

If S is between R and T, then RS+ST = RT

Given the following parameters

RS=2z+6,

ST=4z−3,

RT=5z+12

On substituting

2z+6+4z-3 = 5z+12

Collect like terms

2z+4z-5z = 12+3-6

6z-5z = 15-6

z = 9

Hence the value of z is 9

You might be interested in

I need help, I dont know how to convert ratios into decimals and percentages [EX: write the ratio 5 to 8 in a decimal/percent]

Anon25 [30]

Fractions are just unsimplified numbers. For example 5/8 is just 5 divided by 8 so 0.625. To find the percent from that you move the decimal two places to the right making it 62.5%. Hope this helps!

5 0

3 years ago

A frog jumps across a pond. Its height, as a function of time, is modeled by y

sdas [7]

Answer:The function is nonlinear

Step-by-step explanation:

6 0

2 years ago

.. solve it solve it

Volgvan

Answer:

aku orang baik , tolong baukanabsusjwggdeaysersusurs

3 0

3 years ago

IM / TTM Lesson , please help

baherus [9]

Where’s the question?

5 0

3 years ago

Here is the question !

Delvig [45]

Answer:

Step-by-step explanation:

Co-ordinates of F, G and H are:

F (-4, 5)

G (1, 10)

H (-9, 10)

You can find the lengths of sides by using the distance formula:

length(FG) = $\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}$ = $\sqrt{(1-(-4))^{2} + (10-5)^{2}} = 5\sqrt{2}$ units

Similarly,

length(GH) = 10 units

length(HF) = $5\sqrt{2}$ units

Hence, perimeter will be:

P = length(FG) + length(GH) + length(HF) = $10(\sqrt{2} + 1)$ units

3 0

3 years ago