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alexgriva [62]
3 years ago
5

Help please What is the value of b?

Mathematics
1 answer:
Marizza181 [45]3 years ago
5 0

Answer:

3\sqrt{13}

Step-by-step explanation:

Find 'c' first by using the Altitutude Rule:

4/c = c/9

cross-multiply to get:

c = \sqrt{36} or 6

Now you can find 'a' by using the Pythagorean Theorem:

4² + 6² = a²

a = \sqrt{52}

Now you can find 'b' by using the Pythagorean Theorem:

(\sqrt{52})² + b² = (9+4)²

52 + b² = 169

b² = \sqrt{117}

b = \sqrt{117} = \sqrt{3}\sqrt{3}\sqrt{13}

b = 3\sqrt{13}

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Need help with the blanks
Crazy boy [7]
Answers: 
33. Angle R is 68 degrees
35. The fraction 21/2 or the decimal 10.5
36. Triangle ACG
37. Segment AB
38. The values are x = 6; y = 2
40. The value of x is x = 29
41. C) 108 degrees
42. The value of x is x = 70
43. The segment WY is 24 units long
------------------------------------------------------
Work Shown:
Problem 33) 
RS = ST, means that the vertex angle is at angle S
Angle S = 44
Angle R = x, angle T = x are the base angles
R+S+T = 180
x+44+x = 180
2x+44 = 180
2x+44-44 = 180-44
2x = 136
2x/2 = 136/2
x = 68
So angle R is 68 degrees
-----------------
Problem 35) 
Angle A = angle H
Angle B = angle I
Angle C = angle J
A = 97
B = 4x+4
C = J = 37
A+B+C = 180
97+4x+4+37 = 180
4x+138 = 180
4x+138-138 = 180-138
4x = 42
4x/4 = 42/4
x = 21/2
x = 10.5
-----------------
Problem 36) 
GD is the median of triangle ACG. It stretches from the vertex G to point D. Point D is the midpoint of segment AC
-----------------
Problem 37)
Segment AB is an altitude of triangle ACG. It is perpendicular to line CG (extend out segment CG) and it goes through vertex A.
-----------------
Problem 38) 
triangle LMN = triangle PQR
LM = PQ
MN = QR
LN = PR
Since LM = PQ, we can say 2x+3 = 5x-15. Let's solve for x
2x+3 = 5x-15
2x-5x = -15-3
-3x = -18
x = -18/(-3)
x = 6
Similarly, MN = QR, so 9 = 3y+3
Solve for y
9 = 3y+3
3y+3 = 9
3y+3-3 = 9-3
3y = 6
3y/3 = 6/3
y = 2
-----------------
Problem 40) 
The remote interior angles (2x and 21) add up to the exterior angle (3x-8)
2x+21 = 3x-8
2x-3x = -8-21
-x = -29
x = 29
-----------------
Problem 41) 
For any quadrilateral, the four angles always add to 360 degrees
J+K+L+M = 360
3x+45+2x+45 = 360
5x+90 = 360
5x+90-90 = 360-90
5x = 270
5x/5 = 270/5
x = 54
Use this to find L
L = 2x
L = 2*54
L = 108
-----------------
Problem 42) 
The adjacent or consecutive angles are supplementary. They add to 180 degrees
K+N = 180
2x+40 = 180
2x+40-40 = 180-40
2x = 140
2x/2 = 140/2
x = 70
-----------------
Problem 43) 
All sides of the rhombus are congruent, so WX = WZ.
Triangle WPZ is a right triangle (right angle at point P).
Use the pythagorean theorem to find PW
a^2+b^2 = c^2
(PW)^2+(PZ)^2 = (WZ)^2
(PW)^2+256 = 400
(PW)^2+256-256 = 400-256
(PW)^2 = 144
PW = sqrt(144)
PW = 12
WY = 2*PW
WY = 2*12
WY = 24
3 0
3 years ago
Use the gcf and the distributive property to express the sum as a product 20 35
Maslowich
Common factor of 20= 1,2,4,5,10.......
common factor of 35=1,5,7.............
so here we find that 1 and 5 r the common factors 
but the GCF of 20 and 35 is 5
so,
by using GCF the distributive property is : 5(4+7)
5 0
3 years ago
Kellie bought 8 towels and spent $39.60.Each towel costs the same amount.
kvasek [131]

Answer: $54.45

Step-by-step explanation:

      First, we will find the price of one towel.

-> We will divide the cost by the towels bought.

$39.60 / 8 = $4.95

     Now, we can find the price of 11 towels.

-> We will multiply the cost of one towel by 11 to find the total cost.

$4.95 * 11 = $54.45

8 0
2 years ago
Read 2 more answers
An employee at a state park has 53 photos of animals found at the park. She to arrange the photos in rows so that every row exca
torisob [31]
5 rows of 10 photos and last row with 3 photos,
6 rows of 8 photos and last row with 5 photos,
7 rows of 7 photos and last row with 4 photos,

Also, reverse the rows and photos in each row (ex 5 rows 10 photos=10 rows 5 photos) to get another 3 sets.
8 0
3 years ago
In
zhenek [66]

Answer:

what si the questions

Step-by-step explanation:

7 0
3 years ago
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