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Eva8 [605]
2 years ago
6

Find the values of x and y. Show your work.

Mathematics
2 answers:
Ira Lisetskai [31]2 years ago
8 0
7x-4=31
7x=31+4
7x=35
x=35/7=5

4y+8=24 
4y=24-8
4y=16
y=16/4=4

Hence, x=5;y=4


Ne4ueva [31]2 years ago
4 0

Answer:  x=5 and y=4

Step-by-step explanation:

From the given picture, it can be seen that the coressponding sides of the triangles are equal such that 7x-4=31\\\\\Rightarrow7x=35\\\\\Rightarrow x=\frac{35}{7}\\\\\Rightarrow x=5

Also, 4y+8=24\\\\\Rightarrow\ 4y=24-8\\\\\Rightarrow\ 4y=16\\\\\Rightarrow\ y=\frac{16}{4}\\\\\Rightarrow\ y=4

Therefore, the value of x =5 and the value of y =4.

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if Paula wants the tops of the latter to reach exactly 8 feet up the building, what is x, the distance between the building and
cluponka [151]

Answer:

6 ft

Step-by-step explanation:

Since the distance between the bottom of the ladder and the wall forms a right angle that is across from the ladder, you can use the Pythagorean Theorem to solve for the value of 'x':

a² + b² = c², where 'a' and 'b' are the legs of the triangle and 'c' is the diagonal or hypotenuse.  

Using 8 for 'a' and 10 for 'c':

8² + x² = 10²

64 + x² = 100

Subtract 64 from both sides:

64 - 64 + x² = 100 - 64 or x² = 36

Take the square root of both sides:

√x² = √36

x = 6 ft

5 0
3 years ago
Please answer theses questions NEED THEM FAST please
scoundrel [369]
1)

C ≈ 3.14 • 9
C ≈ 28.26
The circumference is 28.3 cm to the nearest tenth of a centimeter

2)

C ≈ 3.14 (2 • 13)
C ≈ 3.14 • 26
C ≈ 81.64
The circumference is 81.6 in to the nearest tenth of a inch

3)

C = 3.14 (13)
C = 40.82
C = 40.8

4)

C = 3.14 (2 • 5)
C = 3.14 (10)
C = 31.4

5)

C = 3.14 (2 • 1.5)
C = 3.14(3)
C = 9.42
C = 9.4
6 0
2 years ago
A number that divided by 3 leaves 2, divided by 5 leaves 3 and divided by 7 leaves 2. What is the number?
Bogdan [553]
X/3=2 
x=6

x/5=3
x=15

x/7=2
x=14

Each time, you multiply both sides by the denominator.

Hope this helps :)
7 0
3 years ago
What are three collinear points in the figure below?
algol [13]

Answer:

B. W,V,Z

Step-by-step explanation:

Collinear points are two more points in the same plane that lie in a straight line.

From the diagram, Z is the intersection of the two diagonals of quadrilateral VXWY.

The points V, Z and W lie along the same diagonal, hence they are collinear.

The point y, Z, and X also lie along the same diagonal, these are also collinear.

The correct choice is B

7 0
3 years ago
What is the square footage of a area 20 feet by 50 feet
Westkost [7]
The footage is 1000 square footage
5 0
2 years ago
Read 2 more answers
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