$\displaystyle\\\frac{3d-2}{8} =-d+16\frac{1}{4} \\\\\frac{3d-2}{8} =-d+\frac{16*4+1}{4} \\\\\frac{3d-2}{8} =-d+\frac{64+1}{4} \\\\\frac{3d-2}{8} =-d+\frac{65}{4}$

Multiply both parts of the equation by 8:

$\displaystyle\\3d-2=(-d+\frac{65}{4} )(8)\\\\3d-2=-8d+65*2\\\\3d-2=-8d+130\\\\3d-2+2=-8d+130+2\\\\3d=-8d+132\\\\3d+8d=-8d+132+8d\\\\11d=132\\$

Divide both parts of the equation by 11:

$d=12$

8 0

1 year ago

In the diagram of circle R, m∠FGH is 50°. What is m? 130° 230° 260° 310°

omeli [17]

we know that

The measurement of the exterior angle is the semi-difference of the arcs which comprises

In this problem

∠FGH is the exterior angle

∠FGH= $50\°$

∠FGH= $\frac{1}{2}(arc\ FEH-arc\ FH)$

$50\°=\frac{1}{2}(arc\ FEH-arc\ FH)$

$100\°=(arc\ FEH-arc\ FH)$ -----> equation A

$arc\ FEH+arc\ FH=360\°$

$arc\ FH=360\°-arc\ FEH$ --------> equation B

Substitute equation B in equation A

$100\°=(arc\ FEH-[360\°-arc\ FEH])$

$100\°=2arc\ FEH-360\°$

$2arc\ FEH=360\°+100\°$

$arc\ FEH=230\°$

therefore

<u>The answer is</u>

The measure of arc FEH is equal to $230\°$

6 0

3 years ago

Read 2 more answers

Chris is buying new wood flooring for his house. The cost depends on the area of the floors.

GalinKa [24]

Answer:

strong and fexible .

variable

6 0

3 years ago

Holly wants to save money for an emergency. Holly invests $1,100 in an account that pays an interest rate of 8.75%. How many yea

olga_2 [115]

I believe it would be 3.5 years or 3 1/2 years

4 0

3 years ago

Read 2 more answers