What is the value of h in the figure below?

Mathematics

1 answer:

antiseptic1488 [7]2 years ago

5 0

Answer:

h = 8 units

Step-by-step explanation:

We see similar triangles

AD = 20 - 4 = 16 units

since AC = AD + DC = 16 + 4 = 20

16: h = h: 4 where corresponding sides are in proportion.

so ... cross multiply in this proportion and solve for h

64 = h^2

h = 8 units it looks like choice F.)

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6x+4y=42 -3x+3y=-6 by elimination

creativ13 [48]

Answer:

x=5, y=2

Step-by-step explanation:

To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7- $\frac{2}{3}$ y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7- $\frac{2}{3}$ y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7- $\frac{2}{3}$ (3) since y=3, and we'll get x=7- $\frac{6}{3}$ , or x=7-2, or x=5.