Can you conclude that these triangles are congruent?

Answer:

x intercept is 7 y intercept is -3

Step-by-step explanation:

Write equation out and have y=0

[tex] log_{2}(x - 1) - 3 = 0[/tex]

Add 3 to both sides

[tex] log_{2}(x - 1) = 3[/tex]

Using the log to exponet rule

[tex] (log_{b}(x) = y ) \: equal \: b {}^{y} = x[/tex]

Where b and x are real numbers and b cannot equal 1.

Reorder the equation as a exponet

[tex] log_{2}((x + 1) = 3[/tex]

[tex] {2}^{3} = x + 1[/tex]

Simplify

[tex]8 = x + 1[/tex]

Subtract 1 from both sides

[tex]x = 7[/tex]

So the x intercept is 7

To find y intercept plug 0 in as x

[tex] log_{2}(0 + 1) - 3 = y[/tex]

[tex] log_{2}(1) - 3 = y[/tex]

Add 3 to both sides

[tex] log_{2}(1) = y + 3[/tex]

Rewrite in exponet form

[tex] {2}^{y + 3} = 1[/tex]

Using the zero exponet property, anything to the zero power equal 1 so we must find a value that equal out to zero using the exponet so we'll set up the equation

[tex]y + 3 = 0[/tex]

Subtract 3 from both sides and we get

[tex]y = - 3[/tex]

So the x intercept is 7 and the y intercept is -3

Answer: Speed = 50meters/ second

Writing as an integer becomes + 50meters/ second 0R  50meters/ second

Step-by-step explanation:

Speed is given as   = Distance / Time

distance covered  by Airplane  = 450 meters

Time = 9 seconds

Therefore,  Speed = 450/ 9 = 50 meters/second

Answer:

area = 472 in^2

Step-by-step explanation:

19 x 8 x 3 = 456 in^2 for large rectangle

1/2 x 2 x 8 x 2 = 16 in^2 for triangles

area = 456 + 16 = 472 in^2

Answer: 1/125cm³

Step-by-step explanation:

The volume of a cube is gotten by multiplying the side length given by itself thrice.

Since the cube in the question has a side length of 1/5cm, the volume of the cube will be:

= 1/5 × 1/5 × 1/5

= 1/125cm³

Therefore, the volume of the cube is 1/125cm³

Answer:

A. Andres, Samuel, Laura y Valeria.

Step-by-step explanation:

The height of Andres is greater than all other students. Andres has height of 4.2feet.  Samuel is second highest in height and he has height of 4.0 feet. The lowest height student is Valeria who has 3.5 feet height.

Answer:

Step-by-step explanation:

There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.

Basic Formulas

By using a right-angled triangle as a reference, the trigonometric functions or identities are derived: sin θ = Opposite Side/Hypotenuse. cos θ = Adjacent Side/Hypotenuse. tan θ = Opposite Side/Adjacent Side.

Main Trigonometric Functions

Both depend on distances and angles, but trigonometry uses the measurement of angles while geometry deals with angles only in terms of equality of angles and sums of angles. Actually, it seems like basic calculus is easier than basic trigonometry.

(hope this helps can i plz have brainlist :D hehe)

Answer:

17/60 yards of scarf

Step-by-step explanation:

If 5 friends each had one part of a scarf that's 1 and 5/12 yards long what fraction of the scarf could each friend knit

To solve the above question:

5 friends = 1 5/12 yards

1 friend = x yards

Cross Multiply

5 × x = 1 × 1 5/12 yards

x = 17/12 yards ÷ 5

x = 17/12 yards × 1/5

x = 17/60 yards of scarf

Answer:

its D

Step-by-step explanation:

1x5/12 + 5/12 1 X 5 = 5  SO 1 X 5/12 IS D

Answer:

Step-by-step explanation:

Answer:

5 or 6

Step-by-step explanation:

So I did it in a different way than shown in rsm classes. I said that the speed was x-2 and x.

then I said the distance was 6 and 15. If the time taken was 1 hour more, then we can come up with this equation:

Since the time is 6/x-2 or 15/x

15/x-6/x-2=1

multiply everything to get a common denominator then cancel it out to get

(15x-30)-6x=x^2-2x

11x-30=x^2

x^2-11x+30=0

(x-5)(x-6) is factored form.

so x=5 or x=6. this means that the speed of the boat is either 5km/h or 6 km/h

Answer:

The ball will hit the ground after 1.54 seconds

Step-by-step explanation:

This is a form of projectile motion in horizontal direction

Thus, time taken to reach the ground

[tex]t = \sqrt{\frac{2*d}{g} }[/tex]

Substituting the given values in above equation, we get -

[tex]t = \sqrt{\frac{2* 12}{10} } \\t = 1.54[/tex]seconds

Answer:

80

Step-by-step explanation:

multiply 10 by 8

  (If it is not right... i apoligize but i don't see a shaded region)

Answer:

80 in

Step-by-step explanation:

To find the area of a rectangle, you have to multiply the length and height of the rectangle. When you do you will get 80 in

Hope this Helped

Answer: C. Never

Similar polygon are never different shapes. They are always the same shape. As usual, read the question carefully before choosing an answer.

Step-by-step explanation: hope this help:)

Answer:

24 miles

Step-by-step explanation:

Distance formula (d):

D = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

Home to library

(-4, 1) ; (-4, 9)

D1 = sqrt((-4 + 4)^2 + (9 - 1)^2)

D1 = 8

Library to park :

(-4, 9) ; (2, 1)

D1 = sqrt((2 + 4)^2 + (1 - 9)^2)

D3 = 10

Park to home :

(2, 1) ; (-4, 1)

D1 = sqrt((-4 - 2)^2 + (1 - 1)^2)

D2 = 6

Answer:

100 miles

Step-by-step explanation:

Answer: r≈ 9.99ft

Using the formula

C=2 π r

Solving for r

r= C/2π = 62.8/2·π ≈9.99493ft

Answer: B) 27 grams in all

Step-by-step explanation:

Given: The weight of each bright blue poisonous frog = 3 grams

By using the multiplication operator (x)

Then, the weight of 9 such frogs  = 9 x (Weight of each frog)

⇒ The weight of  9 frogs  = 9 x 3 grams

⇒ The weight of  9 frogs  = 7 grams

Therefore, the correct option is B) 27 grams in all

Answer:

R - 116 + 35 is your expression I am pretty sure

Answer:

6.77

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

D.

If possiable may i have brainlist?

Answer:

I think its  the first one but not 100 % sure

Step-by-step explanation:

Answer:

A>= -5 and A<= 5

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

since two sides are congruent, the two unknown angles are congruent.

All triangle angles total 180 degrees.

so:

180-88=92

92/2=46

9x+1=46

9x=45

x=5

Answer:

The answer is x=5

Answer:

y = 1x + 7

Step-by-step explanation:

The equation formula for this scenario is y = mx + b

m = slope

b = y-intercept

To find the slope, pick two points. I picked (2,9) and (4,11).

Subtract 11 from 9, you'll get 2.

Subtract 4 from 2, you'll get 2.

2/2 equals 1.     The slope (m) = 1

To find the b, y-intercept, plot the points on a graph and see if the linear line across the y-intercept.  For this case, the y-intercept is 7.

The equation is:  y = 1x + 7

Answer:

B. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles.

E. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.

Step-by-step explanation:

P1: 12^2+15^2=20^2  144+225=400  369=400

P2: 16^2+30^2=34^2  256+900=1156  1156=1156

P3: 20^2+21^2=29^2  400+441=841  841=841

P4: 18^2+20^2=26^2  324+400=676  724=676

So the answers are B and E

Answer:

b and e

Step-by-step explanation:

Answer:

-2.3F-20

Step-by-step explanation:

-2.7F + 0.4F - 11 - 9 = -2.3F-20

Answer:

I think when you collect all the like terms the equation comes out to be

Step-by-step explanation:

-2.3F - 20

Answer:The perimeter of a rectangular atrium is 27 yards in width and 123 yards in length.

Step-by-step explanation:

Step 1

The perimeter of a rectangular atrium is given as 2( l+b)

The perimeter of a rectangular atrium is 300 yards.

Let the width be represented as x

such that the

The length of the garden which is ninety-six yards more than the width is expressed as x+ 96

and the expression to solve for length and width will now be

Step 2

Perimeter = 2(l+b) = 2l + 2b

300=2( x+96) + 2 x

300= 2x+ 192 + 2x

300= 192+ 4x

300-192=4x

108=4x

x=108/4

x=27

width = 27 yards

length = x+ 96= 27 +96=123 yards