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Eva8 [605]
3 years ago
13

Solve the triangle to find the missing variable.

Mathematics
1 answer:
mariarad [96]3 years ago
5 0
Y = 10 units

Explanation:

The two triangles are similar due to Angle-Angle similarity theorem. So, the ratios of their sides are equal

y/14 = 15/(15 + 6)
y/14 = 15/21
y = 10 units
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find the volume of A trapezoid prism of height 4Km.The parallel sides of the base have length 8km and 5km. The other sides of th
igor_vitrenko [27]

Answer:

Volume of prism = 39 km cubed

Step-by-step explanation:

<u>IMPORTANT FORMULA: Volume of any prism = Area of base * Height </u>

<u />

In this case, <u><em>the area of the base</em></u> means <u><em>the area of the trapezoid. </em></u>

Area of trapezoid = base1+base2/2  * height

Area of trapezoid = 8+5/2  * 1.5

Area of trapezoid = 13/2  * 1.5 = 9.75

We already know that the height of the trapezoidal prism is 4 kilometers.

So, we have all of the values that are needed to correctly fill in the formula.

Volume of the prism = 9.75 * 4 = 39  

7 0
3 years ago
Complete the number sequence <br> 30,80,180,330
galina1969 [7]

Answer: 530

Step-by-step explanation:

First u add 50, 30+50=80, the. 80+100=180, 180+150=330, 330+200= 530 and so on

3 0
3 years ago
I need some help guys!
Ksivusya [100]

Answer:

0.18

Step-by-step explanation:

3 0
2 years ago
Write an expression using the distributive property that can be used to find the quotient of 126 / 7
photoshop1234 [79]
126/7 = 18 so the quotient is 18. There is no need to use distributive property.
3 0
3 years ago
PLEASE HELP ASAP!! CORRECT ANSWER ONLY PLEASE!!<br><br> Simplify.<br><br> (7 − 2i)(8 + 9i)
Lubov Fominskaja [6]

  (7 - 2i)(8 + 9i)

= 7(8 + 9i)   +    -2i(8 + 9i)

= 56 + 63i   +   -16i   - 18i²

= 56           + 47i         +18    <em> (NOTE: i² = -1  →  (-18)(-1) = +18)</em>

= 74 + 47i

Answer: 74 + 47i

5 0
3 years ago
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