prove the identity tan^2x+6=sec^2x+5

Answer:

6. Additional information is required on the two triangles

7. The pair of triangles are similar by SAS similarity postulate

8. Yes, by triangle proportionality theorem

9. DE = 9

Step-by-step explanation:

When two or more triangles are similar, the ratio of the corresponding sides of both triangles is constant

6. From the given figure, more information is required on the two triangles

However, whereby the side with length 10 is parallel to the corresponding side on the other triangle, then the alternate angles formed by the transversal to the two parallel lines are equal and the two triangles are similar by Angle Angle, AA, similarity postulate

7. From the given triangles, the ratio of the corresponding sides relative to the given included angles are;

18/45 and 10/25

18/45 = 2/5

10/25 = 2/5

Therefore, given that two pair of corresponding sides have the same included angle and that the two included corresponding sides of the of the two triangles are proportional, then the two triangles are similar by the Side Angle Side SAS similarity postulate

8. By triangle proportionality theorem, we have;

If [tex]\overline{MN}[/tex] ║ [tex]\overline{KL}[/tex], then we have;

3/6 = 4/8 = 2

∴  [tex]\overline{MN}[/tex] ║ [tex]\overline{KL}[/tex]

9. By triangle proportionality theorem, where [tex]\overline{BE}[/tex] ║ [tex]\overline{CD}[/tex], we have;

12/20 = DE/15

∴ DE = 15 × 12/20 = 9

DE = 9

Answer :

The system can be inconsistent or consistent and  independent or consistent and  dependent.

Step-by-step explanation :

Consistent system: When the system of equation have atleast one solution then the system is consistent.

Inconsistent system: When the system of equation have no solution then the system is called inconsistent.

Dependent system: When the consistent system have infinite number of solutions then the system is called dependent.

Independent system: When the consistent system has exact one solution then the system is called independent system.

We are given two solutions of two equations are (3,2,-6) and (-2,5,1).

But the system of equations have three equations.

Then, the system of equations may have no solution or may have altleast one solution.

If given system of equations have no solutions then the system is inconsistent.

If the given system of equations have two or more than two solutions then the system is consistent and dependent.

If the given system of equations has exactly one solution then the system is consistent and independent.

The system can be inconsistent or consistent independent or consistent independent.

Answer:

27

Step-by-step explanation:

its that be 45 is there to be

Answer:

1

Step-by-step explanation:

Answer:

3x-8

Step-by-step explanation:

15x^2 - 22x - 48 / 5x + 6

15x^2 / 5x = 3x

-48 / 6 = -8

3x-8

Hope this helps :)

Answer:

a) 80in peri, 320 in²

b) 19.426 peri, 26.139

Answer: 420

Step-by-step explanation:

Answer:

since the product meaning multiplication, it basically means 11 (q) which is 11q.

Answer:

its irrational because it doesn't terminate or repeat

Step-by-step explanation:

the square root of 5 is 2.2360679775

Answer:

Answer:

10

Step-by-step explanation:

(7+3) = 10

Answer:

28.26 m²

Step-by-step explanation:

use formula please

Answer:

x = ±1.155

Step-by-step explanation:

We need to graph the given function [tex]f(x) = 6x^2-11+3[/tex] and find its zeroes.

The attached figure shows the graph of the given function.

To find zeroes,

Put f(x) = 0

So,

[tex]6x^2-11+3=0\\\\x=\pm 1.155[/tex]

Hence, this is the required solution.

Answer:

This one i wrote down too

Step-by-step explanation:

P = 312.50

t = 9

r = ?

P(t) = P(9) = 1250

P(t) = Pe^(rt)

P(t) = Pe^(rt)

1250 = (312.50)e^(9r)

1250/312.5 = e^(9r)

4 = e^(9r)

ln(4) = ln(e^(9r))

ln(4) = (9r)ln(e)

[cancel out the e with ln on right side]

ln(4) = (9r)

ln(4) /9 = r

0.15 = r

The compound interest is computed both on the principal and the interest year on year. The rate of the interest is 0.16 or 16%.

A savings account is a type of account where an individual can save money for future purposes.

Here we havethe following information;

Principal = $312.50

Time = 9 years

Amount =  $1250.

rate = ?

Using the formula;

A = P(1 + r/n)^nt

Where n =1

1250 = 312.50( 1 + r)^9

1250/312.50 = ( 1 + r)^9

4 = ( 1 + r)^9

1.16 = 1 + r

r = 1.16 -1

r = 0.16 or 16%

Learn more about compound interest: https://brainly.com/question/9904853?

Answer:

k = -2

Step-by-step explanation:

firstly, let us examine the kind of transformation that we have

We have a transformation from (3,2) to (3,0) and (-3,0) to (-3,-2)

So, we are actually subtracting 2 from the values of f(x) to get the values of g(x)

This shows a vertical translation to the tune of 2 units in the downward direction

So, the correct answer here is that -2 is being subtracted from f(x) to give g(x)

Accordingly, the value of k in the question is -2

Answer:

When x=1/2

Y=-6x-83

Y=-6(1/2)-83

Y=-3-83

Y=-86

Answer:

$4.3

Step-by-step explanation:

Cole bought 10 gallons of gas at the gas station with the lowest price.(the lowest price is $3.57 each gallon.) He paid with two $20 bills. Write and solve an equation to find his change.

two $20 bills = 2 * $20

= $40

Gallons of gas = 10

Lowest price of each gallon = $3.57

Cost of 10 gallons of gas = 10 * $3.57

= $35.7

Let his change = x

His change = Amount paid with - cost of gas

x = $40 - $35.7

x = $4.3

His change = $4.3

Answer:

Step-by-step explanation:

Answer:

1) no, it is not a right triangle.     3² + 4² ≠ 25²

2) no, it is not a right triangle.    38² + 77² ≠ 86²

3) no, it is not a right triangle.    10² + 36² ≠ 37²

4) yes, it is a right triangle.        30² + 40² = 50²

5) yes, it is a right triangle.         8² + 15² = 17²

6) yes, it is a right triangle.        18² + 24² = 30²

7) no, it is not a right triangle.     5.3² + 7.9² ≠ 8.1²

8)  yes, it is a right triangle.         10² + 24² = 26²

Answer:

The answer is G. The first part of the segment is 7 (between 6 and 8) and the endpoint is at 20. It has a range of 13.

Answer:x=2

Step-by-step explanation:8x2=16 and 16 is greater than 10.. hope this helps and gets brainliest

Answer:

x > 2

Step-by-step explanation:

Given

x + 8 > 10 ( subtract 8 from both sides )

x > 2

Answer:

Hillary 2400

carlton 800

will 3200

ashley 1600

Step-by-step explanation:

hillary 30% of 8000 ---- 8000:100×30=2400

will 2/5 of 8000 8000:5×2=3200

carlton 1/4 of will's---- 3200:4=800

ashley: rest, which is 8000-(2400+3200+800)=8000-6400=1600

Step-by-step explanation:

since y=6x

by substitution

-5x+ 2 (6x)= -42

-5x+ 12x=-42

7x= - 42

divide both sides by 7

x= 6

y=6x

y =6*6

y=36

Answer:

Hello.

The answer to this question is  

− √ 2 − √ 3 /2

And in Decimal Form: − 0.25881904

Step-by-step explanation:

Give brainliest :)

Answer:

The area of this triangle is 7.5 square feet.

Step-by-step explanation:

Area of a triangle formula: A = 1/2 * base * height;

Apply formula to equation

(5 * 3)/2 = 7.5

Answer:

x=-2

Step-by-step explanation:

x-15=-17

x=-2

Answer:

4,8

Step-by-step explanation: