two right triangles that are not similar can still have a pair of congruent acute angles.
A. True
B. False

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y=x^2+2x-1\\y-3x=5&\text{add}\ 3x\ \text{to both sides}\end{array}\right\\\left\{\begin{array}{ccc}y=x^2+2x-1&(1)\\y=3x+5&(2)\end{array}\right[/tex]

Substitute (1) to (2):

[tex]x^2+2x-1=3x+5\qquad|\text{subtract}\ 3x\ \text{and 5 from both sides}\\\\x^2-x-6=0\\\\x^2+2x-3x-6=\\\\x(x+2)-3(x+2)=0\\\\(x+2)(x-3)=0\iff x+2=0\ \vee\ x-3=0\\\\x=-2\ \vee\ x=3[/tex]

Substitute the values of x to the (2):

[tex]\text{for}\ x=-2\\\\y=3(-2)+5=-6+5=-1\\\\\text{for}\ x=3\\\\y=3(3)+5=9+5=14[/tex]

Consider the given equation is [tex]17x-18=7x[/tex].

Given:

[tex]17x-18=7x[/tex]

To find:

The value of x.

Solution:

We have,

[tex]17x-18=7x[/tex]

Adding 18 on both sides.

[tex]17x=7x+18[/tex]

Subtracting 7x from both sides.

[tex]17x-7x=7x+18-7x[/tex]

[tex]10x=18[/tex]

Divide both sides by 10.

[tex]x=\dfrac{18}{10}[/tex]

[tex]x=1.8[/tex]

Therefore, the value of x is 1.8.

Answer:

x = √47

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

We have a right triangle. We can use PT to solve for the missing side length.

Step 2: Identify Variables

Leg a = 5

Leg b = x

Hypotenuse c = √72

Step 3: Solve for x

Answer:

The answer is to the question is 13

Answer:q

Step-by-step explanation:

Answer:

[tex]\bold{\dfrac{11}{48}\ ft}[/tex]

Step-by-step explanation:

Given that:

Length of sandwich = [tex]\frac{11}{12}[/tex] of a foot = [tex]\frac{11}{12}[/tex] ft

Portion of sandwich on which there is pepperoni = [tex]\frac{3}{4}[/tex] of the total length of sandwich

Portion of sandwich on which there is pepperoni = [tex]\frac{3}{4}[/tex] [tex]\times \frac{11}{12}[/tex] ft

To find:

The length of sandwich which does not have the pepperoni on it?

Solution:

First of all, let us find the length which has the pepperoni on it.

Length of sandwich on which there is pepperoni = [tex]\frac{3}{4}[/tex] [tex]\times \frac{11}{12}[/tex] ft  = [tex]\frac{33}{48}[/tex] ft

Length of sandwich on which there is no pepperoni can be found by subtracting the length on which there is pepperoni from the total length of sandwich.

Therefore, the answer is:

[tex]\dfrac{11}{12} - \dfrac{33}{48} = \dfrac{44-33}{48} = \bold{\dfrac{11}{48}\ ft}[/tex]

Answer:

11/48

Step-by-step explanation:

i did this in 6th grade 6 years ago

Answer: It's a 50% chance (25 times)

Reason: It's Statically proven that if there are two things you are comparing, and are trying to flip (Like a coin) There's a fifty percent chance of flipping to that side. Thus having this information, you will land on tails 25 times statically.

I hope this helps, and Happy Holidays! :)

Step-by-step explanation:

S = D/T

D = ST

S comes first in the English Alphabet so it is ST

Answer:

D=ST

Step-by-step explanation:

..........D=ST...

Answer:

− 6

Step-by-step explanation:

27

5

Y=5x+27

Here ya go

The angle BCD = 120°

Given

A parallelogram and four angles

Required

Angle BCD

Solution

In A parallelogram

The sum of the four angles is 360°

Opposite angles are equal /congruent(A=C, B=D)

Consecutive angles are supplementary (A + D = 180 °, D + C = 180°, C + B = 180°, B + A = 180°).

We choose a solution by using

Consecutive angles :

∠C+∠B=180°

18x=180°

x=10

∠C=∠BCD =

[tex]\tt 12x=12\times 10=120^o[/tex]

Or we can use another ways :

The sum of the four angles is 360°

∠A+∠B+∠C+∠D=360°

12x+6x+12x+6x=360°

36x=360°

x=10

∠C=∠BCD =

[tex]\tt 12x=12\times 10=120^o[/tex]

Answer:

Step-by-step explanation:

B is the answer

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Answer:

p : q : r = 2 : 12 : 3

Step-by-step explanation:

p : q = 1/3 : 2

p : q = 1/3 ÷ 2

p : q = 1/3 × 1/2

p : q = 1/6

p : q = 1:6 -----------(a)

p : r = 1/2 : 3/4

p : r = 1/2 : 3/4

p : r = 1/2 × 4/3

p : r = 2/3

p : r = 2 : 3 -----------(b)

For p in equation (a) to be the same as equation (b) so, multiply equation (a) by 2 and multiply equation (b) by 1

p : q = 1 × 2 : 6 × 2

p : q = 2 : 12

p : r = 2 × 1 : 3 × 1

p : r = 2 : 3

p = 2 : , q = 12 , r = 3

Hope it help

p : q : r = 2 : 12 : 3

[tex]\boxed{\boxed{\pink{\bf \leadsto The \ co-ordinate\ of \ B \ is \ ( -1, -8) }}}[/tex]

Given that, The midpoint of overline AB is M(-4, -7). If the coordinates of A are (−7,−6). And we need to find the coordinates of B. We know Midpoint formula is :-

[tex]\large\boxed{\red{\bf Midpoint = \bigg( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2}\bigg) }}[/tex]

Let the co ordinates of B be (x , y ) .

Now , on substituting the respective values ,we have :-

[tex]\bf\implies Midpoint = \bigg( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2}\bigg) \\\\\bf \implies (-4,-7) = \bigg( \dfrac{x -7}{2} , \dfrac{y-6}{2}\bigg) \\\\\bf \implies \dfrac{x -7}{2} = (-4) \\\\\bf \implies x - 7 = -8 \\\\\bf\implies x = -8+7 \\\\\boxed{\red{\bf \implies x = (-1) }}[/tex]

[tex]\implies \bf \dfrac{y-6}{2} = -7 \\\\\bf\implies y-6=-14 \\\\\bf\implies y = 6 - 14 \\\\\boxed{\red{\bf\implies y = -8}}[/tex]

Hence the value of x coordinate is (-1) and y - coordinate is (-8) .

Answer:

Brian had 4 jeans

Step-by-step explanation:

Together Cam and Brian had 24 pair of jeans. Cam had 4 less the Brian. Which inequality of equation could be used to find the number of jeans that Brian had?

Let the number of jeans

Cam had = x

Brian had = y

Hence: x + y= 24 Jeans

Cam had 4 less the Brian.

= x = y - 4

Hence:

x > y

The number of jeans Brian had is calculated as:

x + y= 24

y - 4 + y= 24

2y = 24+ 4

2y = 28

y = 28/2

y = 14 jeans

Answer:

-42

Step-by-step explanation:

reason: because on the left we have negative six and on the right we have positive 7, so what is the equation? well it would be -6 x 7 because if a number is in these () it means you multiply

Answer:

[tex]\frac{2}{25}[/tex]

Step-by-step explanation:

8% = 0.08 = [tex]\frac{2}{25}[/tex]

Answer:

I answered ur question answer is x=-4

Answer:

-2 degrees

Step-by-step explanation:

4-6=-2

so its -2 degrees.

Hope this helps :D

Answer:

-2

Step-by-step explanation:

If they temperature falling is greater than the present temperature, you will have to go into negatives. 4 - 4 = 0 - (remainder 2) is -2.

Answer:

10,  it's 5 less than 5 times 3

Step-by-step explanation:

Answer:1a

Step-by-step explanation:

Step-by-step explanation:

total number of tubes=4

total spent=<$20

4(x)<$20

x<$20/4

x<$5

The inequality represented is 4x < 20 and the cost of one tube will be less than $5.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given,

The cost of one tube = x

Cost of 4 tubes = 4x

Cost < $20

4x < 20

x < $5

Hence "The inequality represented is 4x < 20 and the cost of one tube will be less than $5.".

For more about inequality,

brainly.com/question/20383699

#SPJ2

Answer:

100 seconds my dude

Step-by-step explanation:

...............

Answer:

100

Step-by-step explanation:

Answer:

a)

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

b)

The total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 4,200.00 at a rate of 3.6% per year  compounded 12 times per year  over 10 years is $5667.28.

Step-by-step explanation:

a. Write the function that represents the value of the account at any time, t.

The function that represents the value of the account at any time, t

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

where

P represents the principal amount

r represents Annual Rate

n represents the number of compounding periods per unit t, at the end of each period

t represents the time Involve

b) What will the value be after 10 years?

Given

The principal amount  P = $4200

Annual Rate r = 3.6% = 3.6/100 = 0.036

Compounded monthly = n = 12

Time Period = t

To Determine:

The total amount A = ?

Using the formula

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

substituting the values

[tex]A\:=\:4200\left(1\:+\:\frac{0.003}{12}\right)^{\left(12\right)\left(10\right)}[/tex]

[tex]\:A\:=\:4200\left(1.0025\right)^{120}[/tex]

[tex]A=5667.28[/tex] $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 4,200.00 at a rate of 3.6% per year  compounded 12 times per year  over 10 years is $5667.28.

Answer:

y = .25 x 96

y = 24

This is the answer.

Step-by-step explanation:

25% is the same as 0.25

25% = 25/100 = 0.25

Multiply 0.25 with 96

0.25 x 96 = 24

24 is your answer

hope this helps

Answer:

Supplementary Angles add up to 180°

Step-by-step explanation:

(2x + 5) + (8x - 25) = 180

10x -20 = 180

10x = 200

x = 20