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2 years ago

Find value of X in the isosceles triangle shown below

Mathematics

1 answer:

EleoNora [17]2 years ago

3 0

Answer:

Step-by-step explanation:

You have to use Pythagorean theorem.

a^2 + b^2 = c^2

x^2 + 3^2 = 5^2 (you know that b=3 because is the half of 6)

x^2 + 9 = 25

x^2 = 25 - 9

x^2 = 16

x = √16

x = 4

You might be interested in

It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1

3241004551 [841]

Answer:

262.12mph and 419kph

Step-by-step explanation:

Given: It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1114 miles

To Find: the average speend of the plane in miles per hour, If every mile is approximately 1.6 kilometers, the speed of the airplane in kilometers per hour

Solution:

Distance between Orlando,Florida and Boston, Massachusetts $=1114$ $\text{miles}$

Time taken to cover the distance $=4\text{hours}$ and $15\text{minutes}$

We know that,

$\text{Average Speed}=\frac{\text{Total Distance}}{\text{Total time}}$

$=\frac{1114}{\frac{17}{4}}$

$=\frac{1114\times4}{17}$

$=262.12$ $\text{mph}$

It is given that,

$1\text{mile}=1.6\text{kilometer}$

therefore,

$1\text{mph}=1.6\text{kph}$

Speed Of plane in Kilometers per hours $=\text{speed in mph}\times1.6$

$419.4\text{kph}$

Speed of in miles per hour is $262.12$ $\text{mph}$ and Speed in kilometer per hour $419.4\text{kph}$

3 0

3 years ago

2. A chemist has a 25% and a 50% acid solution. How

AnnZ [28]

Answer:

x is mL of 25% acid and y is mL of 50% acid

We set up 2 equations:

A) x + y = 250

B) .25 x + .50y = .35 * 250 which equals

B) .25x + .50y = 87.50 Multiplying A) by -.5

A) -.5x -.5y = -125 adding the equations we get

-.25x = -37.50

x = 150 mL

y = 100 mL

Source: http://www.1728.org/mixture.htm

Step-by-step explanation:

7 0

3 years ago

Write the equation of a circle with a center (-3,9) and a radius of 14

babymother [125]

Answer:

(x+3) + (y-9) = 14^2

4 0

3 years ago

What is the solution to 3/(2x+1) = 9/3x?

Scorpion4ik [409]

Answer:

Solution x = - 1

Step-by-step explanation:

3 / (2x+1) = 9 / 3x

Cross multiply

3(3x) = 9(2x + 1)

Distributive property

9x = 18x + 9

Subtract 18x from both sides

-9x = 9

Divide both sides by -9

x = -1

7 0

3 years ago

juanita makes leather lanyards to sell she charges a base fee and a cost per inch of the finished lanyard. the line shows the co

nordsb [41]

Complete Question:

Juanita makes leather lanyards to sell. She

charges a base fee and a cost per inch of

the finished lanyard. The line shows the

cost y for x inches of lanyard. Write an

equation for the line in slope-intercept

form.

*See attachement for the graph given

Answer:

y = ½x + 5

Step-by-step explanation:

Equation in slope-intercept takes the following form, y = mx + b

m = slope = change in y/change in x

b = y-intercept

Let's find m and b using the graph given

✔️Slope of the line using two points form the graph, say (0, 5) and (2, 6):

Slope (m) = ∆y/∆x = (6 - 5)/(2 - 0) = 1/2

Slope (m) = ½

✔️ y-intercept (b) is the y-coordinate of the point where the line intercepts the y-axis = 5. When y = 5, x = 0. Therefore,

b = 5

✔️To write the equation of the line, substitute m = ½ and b = 5 into y = mx + b:

y = ½x + 5

3 0

2 years ago

Find value of X in the isosceles triangle shown below￼

Find value of X in the isosceles triangle shown below