Consider the complementary angles shown below. Find the value of x. X + 4 3x + 2

x = 21

Step-by-step explanation:

For the complementary angles, the sum of two angles is equal to 90 degrees.

ATQ,

3x+2+x+4 = 90

Taking like terms together,

3x+x+6=90

4x+6=90

4x = 84

x = 21

So, the value of x is equal to 21.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.