1)what is the value of x?
enter your answer in the box.
mm
2)what is the value of x?
enter your answer, as a decimal, in the box.
ft
3)what is the value of x?
enter your answer in the box.
x =
4)what is the value of x?
enter your answer in the box.
x =
5)the area of a right triangle is 336 cm². the base of the right triangle is 48 cm.
what is the length of the hypotenuse of the right triangle?
enter your answer in the box.
cm

(1.) 47 (2.) 67.5 (3.) 24 (4.) 9 (5.) 39

step-by-step explanation:

1. using the concept of linear proportionality:
suppose vy=a
vyt is similar to tyk
then:
vy/vt=yk/tk
plug in the values
a/57=68/129.2
a=68/129.2*57
a=30.234 mm
therefore:
x=a+68mm=98.234 mm

2] amb is similar to nmp.
hence, the value of x will be obtained as follows:
ma/mn=mb/mp
mn=71.5 ft
ma=49.5 ft
mb=x ft
mp=97.5 ft
therefore:
49.5/71.5=x/97.5
x=49.5/71.5*97.5
x=67.5 ft


3] using linear proportionality:
gd/ge=dh/he
35/49=(x+1)/(58.8)
x+1=35/49*58.8
x+1=42
x=42-1=41 cm

using linear proportionality:
11/(121+11)=10/(5x+10+10)
11/132=10/(5x+20)
getting the reciprical of both sides
132/11=(5x+20)/10
12=(5x+20)/10
5x+20=120
5x=120-20
5x=100
x=100/5
x=20

5] given that the area of the right triangle is 336cm² and the base is 48 cm, the length of the hypotenuse will be calculated as follows:
a=1/2bh
a=336
b=48
hence:
336=1/2×48×h
336=24h
h=336/24
h=14 cm
therefore the hypotenuse will be given by pythagorean theorem which states that:
c²=a²+b²
where:
c= hypotenuse
a and b are the legs:
given:
b=48 cm and h=14 cm, then:
c²=14²+48²
c²=2500
c=√2500
c=50 cm