18x-16y=-312 <br> 78x-16y=408

What is the volume of this right rectangular prism?

vfiekz [6]

The volume of this right rectangular prism is 263.52 and it is to the nearest hundredths as a decimal, hope it helps!

8 0

2 years ago

HELP PLEASEEE EMERGENCY

dezoksy [38]

Answer:

y=2/3×+6

Step-by-step explanation:

y-2=2/3(×+6)

y=2/3x4+2

y=2/3×+6

5 0

3 years ago

The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h

bezimeni [28]

Answer:

Step-by-step explanation:

let they travel the distance between them alone

d = common distance traveled by both motorcycle and car = 540 miles

$t_{m}$ = time taken by motorcycle to travel distance between them

$v_{m}$ = speed of the motorcycle = 48 mph

time taken by motorcycle to travel distance between them is given as

$t_{m}$ = d/ $v_{m}$

$t_{m}$ =540/48

$t_{m}$ = 11.25 h

$t_{c}$ = time taken by car to travel distance "d" =11.25 - 2.25 = 9 h

$v_{m}$ = speed of the motorcycle

speed of motorcycle is given as

$v_{m}$ = d/ $t_{m}$

$v_{m}$ = 540/9

$v_{m}$ = 60 mph

when the car and motorcycle move towards each other, the relative speed is given as

v = $v_{m}$ + $v_{c}$

v = 60 + 48

v = 108 mph

t = time taken to meet

Time taken to meet is given as

t = d/v

t = 540/108

t = 5 h

7 0

3 years ago

Given than line a is parallel to line b and that line c is parallel to line d, if m<13=(12x-22) & m<14=(9x-29), find m

Lesechka [4]

13+14=180°
12x-22+9x-29=180
21x-51=180
x=11

m<2=m<14
m<2=70°

5 0

2 years ago

I just need these questions answered, there is no requirement for any explanation! If anybody could assist, that would be great!

koban [17]

Answer:

See explanation

Step-by-step explanation:

Q9. Statement Reason

1) $\angle ABD \cong \angle CBD$ Given

2) $\overline{AB}\cong \overline{CB}$ Given

3) $\overline{BD}\cong \overline {BD}$ Reflexive property

4) $\triangle ABD\cong \triangle CBD$ SAS postulate

5) $\angle A\cong \angle C$ Corresponding parts of congruent triangles are congruent.

Q8. Statement Reason

1) $\overline{AD}\parallel \overline{BC}$ Given

2) $\angle A\cong \angle C$ Alternate interior theorem

3) $\angle AED\cong \angle CEB$ Vertical angles theorem

4) $\overline{AE}\cong \overline{EC}$ Given

5) $\triangle AED\cong \triangle CEB$ ASA postulate

Q7.

1) $\overline{BC}\cong \overline {EF}$ - Given

$\angle CBA\cong \angle FED$ - Given

Pairs of needed sides or pair of needed angles:

$\overline{AB}\cong \overline{DE}$

The postulate or theorem that can be used to prove the triangles are congruent:

SAS postulate

2) $\overline{BC}\cong \overline {EF}$ - Given

$\overline{AC}\cong \overline {DF}$ - Given

Pairs of needed sides or pair of needed angles:

$\overline{AB}\cong \overline{DE}$

The postulate or theorem that can be used to prove the triangles are congruent:

SSS postulate

3) $\overline{BC}\cong \overline {EF}$ - Given

$\angle CBA\cong \angle FED$ - Given

Pairs of needed sides or pair of needed angles:

$\angle ACB\cong \angle DFE$

The postulate or theorem that can be used to prove the triangles are congruent:

ASA postulate

4) $\overline{BC}\cong \overline {EF}$ - Given

$\angle CBA\cong \angle FED$ - Given

Pairs of needed sides or pair of needed angles:

$\angle CAB\cong \angle FDE$

The postulate or theorem that can be used to prove the triangles are congruent:

AAS postulate

Q10. Statement Reason

1) $\angle MCI\cong \angle AIC$ Given

2) $\overline{MC}\cong \overline{AI}$ Given

3) $\overline{CI}\cong \overline{CI}$ Reflexive property

4) $\triangle MCI\cong \triangle AIC$ SAS postulate

4 0

3 years ago

18x-16y=-312 78x-16y=408