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enyata [817]
2 years ago
10

Please help me answer this geometry question!

Mathematics
1 answer:
mihalych1998 [28]2 years ago
6 0
It either equals 12 OR 21... the problem isn't entirely clear...
so it IS
12 < x < 21
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Solve for x please, will give braknliest
kow [346]
Answer: The answer should be 72

Explanation: Triangles add up to 180. The two bottom points are the same. So you would take 180 and subtract it by 36. That would give you 144. You would then take 144 and divide it by 2, because the two angles are the same and your only trying to find one.
7 0
2 years ago
Find the sum of the series given in sigma notation.
Kryger [21]

Answer:

Option b is correct 175

Step-by-step explanation:

n = 7

k = 6

3k -2 ------1

put k = 6 in above eq. for finding first term

  a1 = 3(6) - 2  = 18 - 2 = 16

put k = 7 in above eq. for finding first term

 a2 = 3(7) - 2 = 21 - 2 = 19

 a3 = 3 (8) - 2 = 24 - 2 = 22

16, 19 , 22, ...  //Arithmetic series formation

a1 = 16 , a2 = 19

d = a2 - a1 = 19 - 16 = 3 //Difference of first two terms

Using sum forumula for arithmetic series

sum = \frac{n}{2}(2a1 + (n-1)d)

      = \frac{7}{2}(2a1 + (7-1)d)

      = \frac{7}{2}(2(16) + (6)3)

      =  \frac{7}{2}(32 + 18)    

      =  \frac{7}{2}(50)

      = 7 * 25

      = 175




4 0
2 years ago
five consecutive terms of an arithmetic sequence have a sum of 40. The product of the middle and the two end terms is 224. Find
ratelena [41]
Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10

Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14

4 0
3 years ago
What is the height, h, of one of the triangles?<br> 4 ft<br> 8 ft<br> 7 ft<br> 14 ft
vagabundo [1.1K]

Answer:

4 ft

Step-by-step explanation:

the width of two triangles is given as 8 just divide by 2 since answer is asking for only one triangle

3 0
2 years ago
Read 2 more answers
Mary was making $25,000 per year. Her boss gave her a $3,000 raise. What percent increase is that? PLZ HELP
Solnce55 [7]
The easiest way to find a percentage is to divide the two numbers. You're trying to find what percent 3,000 is of 25,000, so you divide 3,000 by 25,000 to find the decimal.
3000/25,000 = 0.12
If you move the decimal point to the right two places, you'll have your percentage. (Percent means "out of one hundred", and since the decimal point is now in what was the hundredths place, it is now a percentage instead of a decimal.)
12%
$3,000 is a 12% raise from $25,000.
7 0
3 years ago
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