The area of each square is 16 square units find the perimeter of a figure

Lelu [443]

Answer: Phillip is correct. The triangles are not congruent.

How do we know this? Because triangle ABC has the 15 inch side between the two angles 50 and 60 degrees. The other triangle must have the same set up (just with different letters XYZ). This isn't the case. The 15 inch side for triangle XYZ is between the 50 and 70 degree angle.

This mismatch means we cannot use the "S" in the ASA or AAS simply because we don't have a proper corresponding pair of sides. If we knew AB, BC, XZ or YZ, then we might be able to use ASA or AAS.

At this point, there isn't enough information. So that means John and Mary are incorrect, leaving Phillip to be correct by default.

Note: Phillip may be wrong and the triangles could be congruent, but again, we don't have enough info. If there was an answer choice simply saying "there isn't enough info to say either if the triangles are congruent or not", then this would be the best answer. Unfortunately, it looks like this answer is missing. So what I bolded above is the next best thing.

7 0

3 years ago

Read 2 more answers

Un jardín rectangular de 50 cm de largo por 34 m de ancho está rodeado por un camino de arena uniforme.Halla la anchura de dicho

Anastasy [175]

Answer:

5.85 m

Step-by-step explanation:

The width of the sand road can be calculated knowing its area and the dimensions of the rectangular garden as follows:

$A_{g} = a.b$

Where:

Ag: is the area of the rectangular garden

a: is the length of the rectangular garden = 50 cm = 0.5 m

b: is the width of the rectangular garden = 34 m

$A_{s} = 540 m^{2}$

Where:

As: is the area of the sand road

The relation between the area of the sand road and the area of the rectangular garden is the following:

$A_{s} + A_{g} = (a+2x)*(b+2x)$

$540 m^{2} + 0.5m*34m = ab + 2ax + 2bx + 4x^{2}$

$557 m^{2} = ab + 2x(a + b) + 4x^{2}$

$557 m^{2} - 17m^{2} - 2x(34.5 m) - 4x^{2} = 0$

$540 - 69x - 4x^{2} = 0$

By solving the above equation for x we have two solutions:

x₁ = -23.10 m

x₂ = 5.85 m

Taking the positive value, we have that the width of the sand road is 5.85 m.

I hope it helps you!

7 0

3 years ago

How many solutions does the equation −3x−17=−17−3x have?

harkovskaia [24]

Answer:

an infinite number of solutions

Step-by-step explanation:

−3x −17 = −17 −3x

left side = right side TRUE because -3x-17 is the same as -17-3x

we can rearrange the the equation

−3x −17 +17 = −17 +17−3x, add 17 on both sides of the equations

-3x = -3x, divide both sides by (-3)

x = x

Since this equation is always true ( for any number ) we have an infinite number of solutions (since there are is an infinity of numbers.)

8 0

3 years ago

How do you multiply powers that have the same base

Alecsey [184]

Answer:

The exponent "product rule" tells us that, when multiplying two powers that have the same base you can add the exponents in this example you can see how it works. Adding the exponents Is just a short cut! the "power rule" tells us that raise power to a power, just multiply the exponents

4 0

3 years ago

1. Cindy did an experiment. She started out with 700 bacteria cells. She found that the growth rate of the bacteria cells was 4.

Brums [2.3K]

Answer:

This is an exponential function of the form $y=a(b^x)$
We will use the following
y for the number of bacteria at a given time
x for the time
a for the starting number of bacteria, which is 700
b for the base of the exponent
so lets find b, we need the following:
r, which will be our rate, which is 4.3% or 0.043, so

$b=1+r\\b=1+0.043\\b=1.043$
With this info, let's substitute, and get the equation as the answer: $y=700(1.043^x)$
Put that into desmos, (I attached a screenshot for you)

8 0

3 years ago