All categories

2 years ago

In the diagram, angle abc is a right angle. Find the value of x Show full working out pls ty

Mathematics

1 answer:

Vladimir79 [104]2 years ago

5 0

Answer:

x = 3.75

Step-by-step explanation:

ABC is a right angled triangle.

Therefore, by Pythagoras theorem:

${(10 - x)}^{2} = {x}^{2} + {5}^{2} \\ 100 - 20x + {x}^{2} = {x}^{2} + 25 \\ 100 - 20x = 25 \\ - 20x = 25 - 100 \\ - 20x = - 75 \\ x = \frac{ - 75}{ - 20} \\ \: \: \huge \red { \boxed{x = 3.75}}$

You might be interested in

Please help me I really such at geometry

garik1379 [7]

Answer:

DF, DE, EF

Step-by-step explanation:

Nah dude, you got it. :)

6 0

2 years ago

Describe the relationship between the angles!! HELP ME PLZ

never [62]

Answer:

1. alternate exterior angles

2. co-interior angles

3. corresponding angles

4. alternate interior angles

5. corresponding angles

6. co-interior angles

4 0

2 years ago

What is all of this Identify ALL sets of parallel and perpendicular lines in this image.

Tamiku [17]

Parallel lines are lines that run side-by-side without touching or intersecting!

Perpendicular lines intersect/cross and can also make 90° angles (those little green boxes in the picture) in their corners!

Sets of parallel lines:

CD and EF

Sets of perpendicular lines:

CD and AB
EF and AB

5 0

2 years ago

A photographer buys a new camera for $1350. Every year the camera decreases in value by 10%.

bagirrra123 [75]

Answer:

A(t)=1350(0.9)^t

i hope this helps :)

4 0

2 years ago

3) Find two consecutive even integers such that their sum is equal to the difference of 3 times the larger & 2 times the sma

swat32

Answer:

In assumption, x is the smaller even integer and x+2 is the next so it will be larger.

The integers are 4 and 6

Step-by-step explanation:

Let the two consecutive even integers be x and x+2

Here x is the smaller even integer and x+2 is the next so it will be larger.

Now according to the given statement

Sum of both: $x+x+2$

difference of 3 times the larger & 2 times the smaller: $3(x+2)-2x$

Putting the sum and difference equal:

$x+x+2 = 3(x+2)-2x$

Solving the equation

$2x+2 = 3x+6-2x\\2x+2 = x+6\\2x+2-x = x+6-x\\x+2 = 6\\x+2-2 = 6-2\\x = 4$

The next integer will be:

$x+2 = 4+2 = 6$

Hence,

In assumption, x is the smaller even integer and x+2 is the next so it will be larger.

The integers are 4 and 6.

3 0

2 years ago