Δ MAL and Δ DLA are right triangles. If Δ MAL ≅ ΔDLA, then side DL is congruent to side MA, and ∠ MAL is congruent to ∠ DLA. Given ∠ M is 30 °, side DL is (2x + 10) cm, side MA is (3x – 2) cm, and side AL is (x + 5) cm, answer the following questions below:

What is the measurement of DL?

What is the measurement of AL?

What is the measurement of ∠ DLA?

What is the measurement of ∠ AEL?

Answer:

please make brainiest

Step-by-step explanation:

Only 3 numbers are possible at units place (2, 4 & 6) as we need even number.

But at tens & hundreds place all 6 are possible

Number of 3 digit even numbers

= 3x6x6 = 108

36

[tex]Solution:[/tex]

[tex]6\times6=36[/tex]

[tex]such\ as:[/tex]

[tex]11\ \ \ 22\ \ \ 33\ \ \ 44\ \ \ 55\ \ \ 66\\ 12\ \ \ 21\ \ \ 31\ \ \ 41\ \ \ 51\ \ \ 61\\ 13\ \ \ 23\ \ \ 32\ \ \ 42\ \ \ 52\ \ \ 62\\ 14\ \ \ 24\ \ \ 34\ \ \ 43\ \ \ 53\ \ \ 63\\ 15\ \ \ 25\ \ \ 35\ \ \ 45\ \ \ 54\ \ \ 64\\ 16+263646+56\\ 6+6+6+6+6+6\\ =36.[/tex]

I hope this helps you

:)

Answer:

[tex]\frac{10 \sqrt{3} }{3} = b[/tex]

Step-by-step explanation:

Hi there!

We are given a right triangle (notice the right angle), one angle with a measure of 30° and another with 60°

We are also given that one of the legs (one of the sides that makes up the right angle) is 5

We want to find what b is

This triangle is a special right triangle, a 30-60-90 triangle

In a 30-60-90 triangle, if the hypotenuse (the side opposite from the right angle) is b, the leg that is opposite from the 30° angle is [tex]\frac{b}{2}[/tex], while the leg that is opposite from the angle that is 60° is [tex]\frac{b\sqrt{3} }{2}[/tex]

In this case, we're given that the side opposite from the 60 degree angle is 5, meaning that 5 is equal to [tex]\frac{b\sqrt{3} }{2}[/tex]  

So we can set 5 equal to [tex]\frac{b\sqrt{3} }{2}[/tex], to solve for b:

5=[tex]\frac{a\sqrt{3} }{2}[/tex]

Multiply both sides by 2

5*2=b√3

10=b√3

Now divide both sides by √3

[tex]\frac{10}{\sqrt{3} } =b[/tex]

rationalize the denominator

[tex]\frac{10 * \sqrt{3} }{\sqrt{3} *\sqrt{3} }[/tex] = b

[tex]\frac{10 \sqrt{3} }{\sqrt{9}}[/tex]= b

[tex]\frac{10 \sqrt{3} }{3} = b[/tex]

The answer can be left as that.

Hope this helps!

720000 liter

[tex]Known:\ a=10\ m,b=9\ m,h=8\ m.[/tex]

[tex]Because:\ V=abh\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (Volume\ caculation\ formula)[/tex]

[tex]Thus:\ V=10\times9\times8=720\ m^3[/tex]

[tex]Because\ 1\ m^3=1000\ L\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (unit\ conversion)[/tex]

[tex]Thus\ 720\ m^3=720000\ L[/tex]

I hope this helps you

:)

Answer:

b > 3 2/15

Step-by-step explanation:

2 3/5+ 8/15<b

9+8

2-----------=2 17/15

15

=2+ 1 2/15

=3 2/15 <b

b> 3 2/15

Answer:

b > 3 2/15

Step-by-step explanation:

2 3/5 < b - 8/15

Convert the number

2 × 5 + 3/5 < b - 8/15

10 + 3/5 < b - 8/15

13/5 < b - 8/15

Rearrange the terms

-b < -8/15 - 13/5

Transform the expression

-b < -8 - 39/15

Calculate

-b < -47/15

Divide both sides

b > -47/15 = b > 3 2/15

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

well, he got 1080, that's for 12 TVs each one with a warranty, let's take out the warranty commission, so each one is 20 bucks so for 12 that'd be 12*20 = 240, so 1080 - 240 = 840 is left.

so the fixed income for all 12 TVs is 840 bucks, how much per each one? well, 840 ÷ 12 = 70.

Answer:

Step-by-step explanation:

Tom: 90 cookies total 60% were sold

Tom: 90 * 60/100 = 54 cookies

Scott: 150 cookies and 2/3 were sold

Scott: 150 * 2/3 = 300/3 = 100

Dawn: sold 46 cookies

Total Sold = 46 + 100 + 54

Total Sold = 200

Answer

Dawn: % = (46 / 200) * 100 = 23%

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{4}}}\implies \cfrac{6}{3}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{2}(x-\stackrel{x_1}{4})\implies y = 2x-8[/tex]

Answer:

9 and 18

Step-by-step explanation:

let the numbers be x and 2x

so that x+2x=27

3x=27

x=9

so the numbers are 9 and 18.

I hope this will help

Answer:

[tex] \\ [/tex]

Step-by-step explanation:

It is given that, the sum of two numbers is 27 and one of the number is 2 times as large as the other.

[tex] \\ [/tex]

Let us assume the one number as x and as state in the question, one of the number is 2 times as large as the other (x) . So, the other number will be 2x .

[tex] \\ [/tex]

Now,

[tex] \\ {\longrightarrow \pmb{\sf {\qquad x + 2x = 27 \:}}} \\ \\[/tex]

Adding like terms we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad 3x = 27 \:}}} \\ \\[/tex]

Dividing both sides by 3 we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad \frac{3x}{3} = \frac{27}{3} \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad {x} = {9} \:}}} \\ \\[/tex]

So,

[tex] \\ [/tex]

Now,

[tex] \\ {\longrightarrow \pmb{\frak {\qquad Other \: number = 2x \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad Other \: number = 2(9) \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad Other \: number = 18 \:}}} \\ \\[/tex]

Therefore,

Answer:

20

Step-by-step explanation:

I'm not too sure why 22 is there. Triangle = (bh) / 2

90 x 2 = 180. 180 / 9 = 20, therefore, base is 20.

Answer:

First, we must know the formula for the area of a triangle.

A = BH x 1/2

Where 'b' represents the base, and 'h' represents the height.

Multiplying by 1/2 basically means dividing the result of (base x height) by 2.

Now we plug in what we know, given the dimensions shown.

We know that the area is 90 square units.

We also know that the height is 9, so;

A = BH x 1/2

90 = B(9) x 1/2

Solve for B:-

90 = 9b(we reverse b9 because they both serve as the same thing) x 1/2

90 = 9b x 1/2

Dividing by 1/2 also means multiplying by 2, so we multiply 2 to both sides to get rid of 1/2;

*2         *2

180 = 9b

To isolate b(base) we divide by 9 from both sides because the inverse operation of multiplication is division.

÷ 9    ÷ 9

20 = b, our base is 20 square units.

Answer:

  (c)  -0.9682

Step-by-step explanation:

In quadrant II, the cosine is negative. Solving the given equation for the cosine gives ...

  sin²(A) +cos²(A) = 1

  cos²(A) = 1 -sin²(A)

  cos(A) = -√(1 -sin²(A)) = -√(1 -(1/4)²) = -√(15/16) ≈ -0.9682

_____

The coordinates of a point on the unit circle are (cos(α), sin(α)). The attachment shows the point on the unit circle where sin(A)=1/4 in quadrant II. The x-coordinate is the cosine of the angle, about -0.97.

Answer:

126 is a term in the sequence.  Please check my assumption on the correct formula.

Step-by-step explanation:

I will assume that n2 + 5 is actually n^2 + 5.

Starting with n=0, use the formula to calculate successive values of n.  The attached table is the result of n from 0 to 22.  At n=11, the result is 126, so 126 is a term in the sequence.

If the expression is actually n2 + 5, calculate the values for y = 2n + 5.  126 would not be a term in this sequence.

Answer:

4/12 and 3/8

Step-by-step explanation:

Answer:

[tex]f(x)=500*(.057)^x[/tex]

Step-by-step explanation:

Answer:

  (x, y, z) ≈ (30.375, 12.369, 13.915)

Step-by-step explanation:

You can make use of the fact that all of these right triangles are similar. That mean the ratio of the hypotenuse to the long side is the same for each of them.

  27/24 = x/27

  x = 27²/24 = 30.375 . . . . . . multiply by 27

__

Likewise, the ratio of short side to long side is the same for each:

  y/24 = (30.375 -24)/y

  y² = 24(6.375)

  y = √153 ≈ 12.369

__

And the ratio of short side to hypotenuse is the same:

  z/30.375 = 6.375/z

  z² = 30.375×6.375 = 193.640625

  z = √193.640625 ≈ 13.915

Answer:

18 kilometers

Step-by-step explanation:

If each 1 cm represents 9 kilometers.

How many would 2 cm represent?

[tex]x = \frac{9 \times 2}{1} = 9 \times 2 = 18[/tex]

Answer:

[tex]2^{\frac{1}{27} }[/tex]

Step-by-step explanation:

→ Write in number format

∛∛∛2

→ Rewrite

[tex]2^{\frac{1}{3} } *2^{\frac{1}{3} } *2^{\frac{1}{3} }[/tex]

→ Simplify

[tex]2^{\frac{1}{27} }[/tex]

Answer:

2^(1/27).

Step-by-step explanation:

That would be   [(2)^1/3)^1/3]^1/3

= 2^1/3*1/3*1/3)

= 2^(1/27)

Answer:

108 miles

Step-by-step explanation:

144m/4h = 36m/1h or 36mph

36mph · 3 = 108m

Answer:

40

Step-by-step explanation:

I answered by simply looking at the equation

Answer:

the answer is .....true

Answer:

9.31

Step-by-step explanation:

Distance = 3 ⅘ x 2.45

3 ⅘ = 3.8

3.8 x 2.45 = 9.31

Answer: perimeter: 40.79

Area: 84

Step-by-step explanation:  

perimeter: (√3² + 6²) + (√1² + 6²) + 7 + 6 +  6 + 9 = 40.79

area: ((9 + 6) x 6) / 2 + ((6 + 7) x 6) / 2) = 45 + 39 = 84

Answer:

y=ax, y»a

Step-by-step explanation:

that means that gradually the lines going up instead of going down and the step by step function will give you two set of points in the graph that will be your your center point

Answer:

See below.....Something is wrong with your question

Step-by-step explanation:

v = k d^3    or     k = v/d^3   = 576/12^3 = 1/3

when depth (???   m??)  is 1300 :

  1/3 =  v / (1300^3)  = 732 333 333 .3 cm^3

Answer:

someone who doesn't try would have a lower chance of 100% effort and someone who dose try would have a much higher chance of 100% effort

Step-by-step explanation:

i hope this helps!!

Answer:

150.09

Step-by-step explanation:

0.1  = 1/10 + 149.99=  150. the leftover of 0.09 then is finally added to 150 which then you get 150.09  


Please mark brainliest!

Answer:

The answer should be 150.09  

Step-by-step explanation:

Adding one tenth to 149.9 will equal 150. The remaining 0.09 will be added to 150 and the final answer is 150.09

Hope This Helps
Have A Great Day

~Zero~

Answer:

Jim travelled 246 Miles.

Step-by-step explanation:

Answer:

m∠O=67

Step-by-step explanation:

m∠O=180-m∠R-the other angle since it is not given we can assume that the other angle is the same as m∠O so you divide 134 by 2 to get 67 therefore m∠O=67

Answer:

  7 seconds

Step-by-step explanation:

Ballistic motion is usually modeled in the vertical direction in US customary units by the equation h(t) = -16t^2 +v0·t +h0, where v0 and h0 are the initial velocity and height, and h(t) is the height as a function of time in seconds. For the given initial conditions, the equation of vertical motion will be ...

  h(t) = -16t^2 +64t +336

__

This question asks you for the value of t for which h(t) = 0. We can solve that equation by factoring.

  0 = -16t^2 +64t +336

  0 = t^2 -4t -21 . . . . . . . . divide by -16

  0 = (t -7)(t +3) . . . . . . . factor the quadratic

  t = 7 . . . . . . the positive value of t that makes the equation true

The ball will return to the ground after 7 seconds.

__

Additional comment

A graph of the function reveals the ball reaches a maximum height of 400 feet after 2 seconds.

In metric units, the equation is h(t) = -4.9t^2 +v0·t +h0, where distances are in meters instead of feet. Time is still in seconds.