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ki77a [65]
4 years ago
7

Solve number 8 pleeease

Mathematics
1 answer:
Genrish500 [490]4 years ago
7 0
The diagonals of a rectangle are congruent and bisect each other.

MW = HW = (1/2)(MT)

MW = HW = (1/2)(50)

MW = HW = 25

3x + y = 25
7x - 6y = 25

Multiply the first equation by 6.
Write the second equation below it.
Add the equations.

       18x + 6y = 150
  +      7x - 6y = 25
--------------------------
        25x        = 175

x = 7

3x + y = 25

3(7) + y = 25

21 + y = 25

y = 4

Answer: x = 7; y = 4
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What is the sum of the first 51 terms of the sequence?<br><br> −282,−266,−250,−234,...
Pavel [41]

Answer:

The sum of the first 51 terms of the sequence is 6018

Step-by-step explanation:

AP: −282,−266,−250,−234,...

First term = a = -282

Common difference = d = a_2-a_1=a_3-a_2

Common difference = d = -266-(-282)=-250-(-266)=16

Formula of sum of first n terms =S_n=\frac{n}{2}(2a+(n-1)d)

Substitute n = 51

So,S_{51}=\frac{51}{2}(2(-282)+(51-1)(16))

S_{51}=6018

Hence the sum of the first 51 terms of the sequence is 6018

8 0
3 years ago
find the slope and y-intercept of the line that is parallel to y= -2x - 5 and passes through the point (-3,-3)
siniylev [52]

Answer:

-9

Step-by-step explanation:

Slope is the same so y=-2x+b

Plug in x and y

-3=-2(-3)+b

-3=6+b

b=-9

(Y-intercept is -9)

4 0
4 years ago
Is this the correct answer?
Advocard [28]
30kx-6kx=8
24kx=8
x=8/(24k)
x=1/(3k)
so the answer should actually be D
6 0
3 years ago
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VLD [36.1K]
It’s better to buy 3-yard roll of aluminum foil for $3.06
6 0
3 years ago
In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AH=4 and HC=1, find BH.
neonofarm [45]

Answer:

  BH = 2

Step-by-step explanation:

The altitude divides the triangle into similar triangles. The ratio of the long side to the short side is the same for all, so ...

  AH/BH = BH/HC

  4/BH = BH/1

  4 = BH² . . . . multiply by BH

  2 = BH . . . . . take the square root

3 0
3 years ago
Read 2 more answers
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