The circumcenter of a triangle is equidistant from the ___________

Ms.Henderson is using triangles in her graphic design project.The triangles are isosceles.One had a base of 4 inches and legs of

tester [92]

If the two triangles are similar you can use a proportion to solve for the length of the legs.
$\frac{2}{4}$ = $\frac{x}{9}$
Now, you would cross multiply to get
4x=18
Now, you simplify that using the division property of equality.
You end up with
x=4.5
Therefore, the legs of the triangle with a base of 9 inches will each be 4.5 units long.

4 0

3 years ago

Which linear function has the same y-intercept as the one that is represented by the graph?

algol13

Answer:

Oy=2x+3

Step-by-step explanation:

3 0

2 years ago

Ppl! Plz! I need help and no one will, I’m sooo stuck I have been for 45 minutes! Plz help with questions and let me know if rig

balandron [24]

#1. For each 4 hours it goes down 8

#2. Each 3 month she gains an extra $150

#3. Each 4 hours it goes down by 16 F

#4. Each 18 months she grows 9 in.

#5. Right 1 up 2 (1,2)

#6. (1,2)

Hope this help buddy. Now accept my friend request!

6 0

3 years ago

The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of itsâ height, and

storchak [24]

The question is incomplete.Here is the complete question.

The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of its length, and inversely as the length of the beam. A beam 13 feet long, with a width of 6 inches and a height of 4 inches can support a maximum load of 800 pounds. If a similar board has a width of 8 inches and a height of 7 inches, how long must it be to support 1300 pounds?

Answer: It must be 392 inches or approximately 33 feet.

Step-by-step explanation: According to the question, the measures (width, length and height) of a beam and the weight it supports are in a relation of <u>proportionality</u>, i.e., if divided, the result is a constant.

For the first load:

width = 6in

height = 4in

length = 13ft or 156in

weight = 800lbs

Then, constant will be:

$\frac{6.4^{2}}{156} k = 800$

$k=\frac{800.156}{96}$

k = 1300

For the similar beam:

$\frac{8.7^{2}}{L}1300=1300$

L = 49.8

L = 392in or 32.8ft

A similar board will support 1300lbs if it has 392 inches or 32.8 feet long.

6 0

3 years ago

Katie is starting a babysitters sitting business. She spent $26 to make signs to advertise. She charges her initial fee of five

zloy xaker [14]

Answer:

The Inequality representing the number of hours she want to babysit to make a profit is $5+3x>26$ .

Katie should babysit for more than 7 hours in order to make profit.

Step-by-step explanation:

Given:

Money spent on advertising = $26

Initial fee = $5

Hourly charge = $3

We need to find the number of hours she want to babysit to make a profit.

Solution:

Let the number of hours be 'x'.

Now we can say that;

The sum of Initial fee and Hourly charge multiplied by number of hours should be greater than Money spent on advertising .

framing in equation form we get;

$5+3x>26$

Hence The Inequality representing the number of hours she want to babysit to make a profit is $5+3x>26$ .

On Solving the above Inequality we get;

Now Using Subtraction property of Inequality we will subtract both side by 5 we get;

$5+3x-5>26-5\\\\3x>21$

Now Using Division Property of Inequality we will divide both side by 3 we get;

$\frac{3x}{3}>\frac{21}{3}\\\\x>7$

Hence Katie should babysit for more than 7 hours in order to make profit.

Interpretation:

when x=7

Amount earned will be = $5+3x=5+3\times7 =5+21=\$26$

Profit earned will be = Amount earned - Money spent on advertising = 26 -26 =0

when x= 8

Amount earned will be = $5+3x=5+3\times8 =5+24=\$29$

Profit earned will be = Amount earned - Money spent on advertising = 29 -26 =$3

Hence at 7 hours of babysitting profit will be 0 and at 8 hours of babysitting profit will be $3.

3 0

3 years ago

The circumcenter of a triangle is equidistant from the ____________ of the triangle.