All categories

3 years ago

In the diagram, what is the value of x ?

Mathematics

2 answers:

cricket20 [7]3 years ago

7 0

Answer:

36 degrees

Step-by-step explanation:

So the equation would be 4x + x =180

5x = 180

divide both sides by 5:

Hope this helps!! :D

Iteru [2.4K]3 years ago

4 0

the value of x is 36 degree

You might be interested in

An architect charges 300 dollars for each project and an additional 32 dollars per hour during the project. In the most recent p

crimeas [40]

Answer:

Step-by-step explanation:

8 0

3 years ago

Two bikers, Derek and Tina, start riding from the same location. Derek rides due west for x miles. Tina goes due south and cover

kirza4 [7]

Answer: Tina rides 4 miles and Derek rides 3 miles.

Explanation:

Since we have given that

Distance covered by Derek in west direction be x

Distance covered by Tina in south direction be x+1

Distance between the bikers when they both stop is x+2

Since it forms right triangle, so we will apply "Pythagorus theorem":

$H^2=P^2+B^2\\\\(x+2)^2=x^2+(x+1)^2\\\\x^2+4x+4=x^2+x^2+1+2x\\\\x^2+4x+4=2x^2+2x+1\\\\x^2-2x^2+4x-2x+4-1=0\\\\-x^2+2x+3=0\\\\x^2-2x-3=0\\\\x^2-3x+x-3=0\\\\x(x-3)+1(x-3)=0\\\\(x+1)(x-3)=0\\\\x=-1,3$

Since distance can't be in negative sign, so we take x=3 miles

Derek rides 3 miles

Tina rides is given by

$x+1=3+1=4\ miles$

Hence, Tina rides 4 miles and Derek rides 3 miles.

3 0

3 years ago

Read 2 more answers

Angle 1 and angle 2 form a linear pair.if m angle =5x+9 and m angle 2=3x+11,find the measures of both angels.

lbvjy [14]

Answer: ∠1 = 109° ∠2 = 71°

Step-by-step explanation:

If the two angles form a linear pair, then their sum is 180°

∠1 + ∠2 = 180°

(5x + 9) + (3x + 11) = 180

8x + 20 = 180

8x = 160

x = 20

∠1 = 5x + 9

= 5(20) + 9

= 100 + 9

= 109

∠2 = 3x + 11

= 3(20) + 11

= 60 + 11

= 71

CHECK:

∠1 + ∠2 = 180°

109° + 71° = 180°

180° = 180° $\checkmark$

7 0

4 years ago

A cylinder has a radius of 6 centimeters and a height of 18 centimeters. A smaller cylinder has linear dimensions that are one-t

vlabodo [156]

Answer:

the larger cyclinder has a surface area which is 9 times the surface area of the smaller cyclinder.

Step-by-step explanation:

Surface area of larger cyclinder

Radius = 6cm

Height = 18cm

A = 2πrh + 2πr^2

= 2*3.14*6*18 + 2*3.14*6^2

= 678.24 + 226.08

= 904.32 cm

Smaller cyclinder (1/3 of the larger cyclinder)

Radius = 2cm

Height = 6cm

A = 2πrh + 2πr^2

= 2*3.14*2*6 + 2*3.14*2^2

= 75.36 + 25.12

= 100.48 cm

Comparing the surface area of the larger cyclinder and the smaller cyclinder

= 904.32 cm / 100.48 cm

= 9

This means, the larger cyclinder has a surface area which is 9 times the surface area of the smaller cyclinder.

5 0

3 years ago

In Youngtown, the population reached 4420 people in 1993. In 1998, there were 5600 residents. What was the population in the yea

Ede4ka [16]

Growth rate = (Present - Past)/Past Plugging in what we know Growth rate =(5600â’4420)/4420 Thus Growth rate=.26697 Now we can plug the growth rate into our first formula which gives us P=5600e^(.26697â‹…2) Solve for P and we get P = 9551.58 however since you can not have .58 of a person we round down to 9551. So Youngtown will have 9551 citizens in the year 2000

6 0

4 years ago