Find the missing number so that the equation has no solutions.<br> x+20=<br>

Can some one please help me <br> will give 94 points for it

NNADVOKAT [17]

You can solve this by using "similar triangles".

In triangle ABC, we are looking for side AC which is x. Side AC is similar to side DF in triangle EDF.

You can solve for side x by picking two sides in triangle ABC and their corresponding sides in triangle EDF. This is what I mean:
$\frac{AC}{BC} = \frac{DF}{EF}$
Substitute for the values of AC, BC, DF and EF:
$\frac{x}{4} = \frac{11}{8} \\ \\ 8x = 4 \times 11 \\ \\ x = \frac{44}{8}$
$x = 5.5 \: units$
To solve for y, do the same thing. Pick two sides on triangle ABC and their corresponding sides in triangle DEF.
$\frac{AB}{BC} = \frac{DE}{EF}$
Substitute for the values and solve:
$\frac{3}{4} = \frac{y}{8}$
$4y = 24 \\ \\ y = 6 \: units$

We have the value x to be 5.5 units and y to be 6 units.

7 0

3 years ago

Read 2 more answers

Distribute &combine 2 -(-x+5)

natita [175]

2-(-x+5)
2+x-5
x-3
I decided to included the steps just in case you needed them

8 0

4 years ago

What is the surface area of a rectangular prism that has i height of 2 length of 5 and width of 13

BaLLatris [955]

Answer:

A=202

Step-by-step explanation:

A=2(wl+hl+hw)

2·(13·5+2·5+2·13)=202

7 0

3 years ago

Please answer A S A P

guajiro [1.7K]

Answer:

1, i) equation for Mike's Repair Shop = $65x + $100

ii) Amy's Auto Repair = $80x + $40

2. 65x + 100 = 80x + 40

3. x = 4

4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.

5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80 $\times$ 3 + $40 = $280 and Mike's will cost = $65 $\times$ 3 + $100 = $295.

6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80 $\times$ 6 + $40 = $520 and Mike's will cost = $65 $\times$ 6 + $100 = $490.

7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.

Step-by-step explanation:

i) x = number of hours worked

ii) y = total cost

1, i) equation for Mike's Repair Shop = $65x + $100

ii) Amy's Auto Repair = $80x + $40

2. 65x + 100 = 80x + 40

3. 15x = 60, therefore x = 4

4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.

5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80 $\times$ 3 + $40 = $280 and Mike's will cost = $65 $\times$ 3 + $100 = $295.

6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80 $\times$ 6 + $40 = $520 and Mike's will cost = $65 $\times$ 6 + $100 = $490.

7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.

4 0

3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. A sphere with height h a

8090 [49]

Answer:

C. 14 metres cubed

Step-by-step explanation:

The volume of a sphere is denoted by: $V=\frac{4}{3} \pi r^3$ , where r is the radius, while the volume of a cylinder is denoted by: $V=\pi r^2h$ , where r is the radius and h is the height.

Here, we know that the sphere and cylinder have the same radius and height. However, the "height" of the sphere is technically just the diameter, which is twice the radius. So, h = 2r. We know the volume of the cylinder is 21, so:

$V=\pi r^2h=\pi r^2*2r=2\pi r^3$

$21=2\pi r^3$

πr³ = 21/2 = 10.5

Now plug this into the volume of a sphere formula:

$V=\frac{4}{3} \pi r^3$

$V=\frac{4}{3} *10.5=14$

The answer is C, 14 metres cubed.

5 0

3 years ago

Read 2 more answers

Find the missing number so that the equation has no solutions. x+20= – 4x+3