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Vlad1618 [11]
2 years ago
13

Please help this is due in 20 minutes

Mathematics
1 answer:
Allushta [10]2 years ago
3 0

Answer:

1.SAS, ASA,

2. Not congruent

3.C

4. If you could screenshot the whole page I can give tell you what it is.

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Part A is asking how long the bridge is and Part B is asking how expensive it would be if each foot it 1500
katrin [286]

Answer:

(a)80 feet

(b)$120,000

Step-by-step explanation:

<u>Part A</u>

<u>Intersecting Secant-Tangent Theorem</u>

If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

In the attached diagram, the theorem applied is:

|AX|^2=|UX|*|TX|

Comparing with our diagram:

|AX|=30 feet

|UX|=10 feet

Length of the Bridge,L

Therefore:

30^2=10 X ($Length of the Bridge+10)

900=10(L+10)

L+10=900/10

L+10=90

L=90-10=80 feet

Length of the Bridge=80 feet

<u>Part B</u>

If each foot costs $1500

Cost of the bridge=$1500*80=$120,000

4 0
3 years ago
Each day, the human heart pumps about 7500 liters of blood. As a simple approximation, assume that the work done by the heart is
erik [133]

Answer with Step-by-step explanation:

We are given

Volume of blood=V=7500 L=7500\times 0.001=7.5 m^3

1 liter=0.001 m^3

Height of person=h=1.5 m

Density of blood,\rho=1050 kg/m^3

We have to find the work done and power of person's heart.

We know that

Work done,W=mgh=\rho Vgh

Where g=9.8 m/s^2

Using the formula

W=1050\times 7.5\times 9.8\times 1.5=1.16\times 10^5 J

Time,t=1 day=24\times 60\times 60=86400 s

Power, P=\frac{W}{t}

Using the formula

P=\frac{1.16\times 10^5}{86400}=1.34 Watt

7 0
3 years ago
A student likes to use the substitution method for systems of equation. How can he use it with a system that is not in the prope
Kay [80]

Answer:

Step-by-step explanation:

We have given:

-2x+y=4     ---------equation1

3x+4y=49 ---------equation 2

We will solve the 1st equation for y and substitute the value into the 2nd equation.

-2x+y=4     ---------equation1

Move the values to the R.H.S except y

y = 2x+4

Now substitute the value of y in  2nd equation:

3x+4y=49

3x+4(2x+4)=49

3x+8x+16=49

Combine the like terms:

3x+8x=49-16

11x=33

Now divide both the sides by 11

11x/11 = 33/11

x= 3

Now substitute the value of x in any of the above equations: We will substitute the value in equation 1:

-2x+y=4

-2(3)+y=4

-6+y=4

Combine the constants:

y=4+6

y = 10

Thus the solution set of (x,y) is {(3,10)}....

8 0
3 years ago
Triangles A B C and N M L are shown. Angles B A C and L N M are right angles.
tresset_1 [31]

The additional information needed to prove both triangles are similar are:

A. ∠B ≅ ∠M

C. △ABC was rotated and dilated by a scale factor between 0 and 1

E. ∠C ≅ ∠L

<h3>What are Similar Triangles?</h3>

When a triangle is rotated and dilated by a scale factor, the new triangle formed has the same shape but different size of the original triangle. However, all its corresponding angles remains congruent.

Thus, for triangles ABC and NML to be similar to each other, since we already known each have one congruent right angles, the additional information needed are:

A. ∠B ≅ ∠M

C. △ABC was rotated and dilated by a scale factor between 0 and 1

E. ∠C ≅ ∠L

Learn more about similar triangles on:

brainly.com/question/2644832

#SPJ1

5 0
1 year ago
Simplify (2x + 1) (3.1 – 6)using the Distributive Property or the Area Method.
Tju [1.3M]

Answer: -5.8x-2.9

Step-by-step explanation:

Hi, to answer this we will use the distributive property:

The distributive property allows to multiply a sum by multiplying each addend separately and then add the products.

(2x + 1) (3.1 – 6)

(2x [3.1]) +(2x[-6])+ (1 [3.1])+ (1 [-6])

6.2x-12x+3.1-6

-5.8x-2.9

Feel free to ask for more if needed or if you did not understand something.

4 0
3 years ago
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