All categories

3 years ago

What other information do you need to prove the triangles congruent using SAS congruence?

Mathematics

1 answer:

Stella [2.4K]3 years ago

7 0

Answer:

An angle degree and a side measure

Step-by-step explanation:

SAS means side angle side

so in order to prove that the triangles are congruent, you need to find out if one of the angle degree and a side measure are the same

You might be interested in

A chemical substance has a decay rate of 6.9% per day. The rate of change of an amount N of the chemical is given by the equatio

GaryK [48]

Answer:

a) $N=N_0e^{-0.069t}$

b) $N=696.9$ grams

c) $t=10$ days

Step-by-step explanation:

We are going to use separation of variables to solve.

Get all your t's to one side and your N's to opposing side.

$\frac{dN}{dt}=-0.069N$

Multiply both sides by $dt$ :

$dN=-0.069N dt$

Divided both sides by $N$ :

$\frac{dN}{N}=-0.069 dt$

Integrate both sides:

$\ln|N|=-0.069t+C$

The equivalent exponential form is:

$e^{-0.069t+C}=N$

Using law of exponents you can write this as:

$e^{-0.069t}e^C=N$

$e^C$ is just a positive constant that I'm going to replace with K:

$e^{-0.069t}K=N$

Applying the symmetric property of equality:

$N=e^{-0.069t}K$

Applying the commutative property of multiplication:

$N=Ke^{-0.069t}$

K actually represents the initial amount of chemical substance since when plugging in 0 for t you get K for N, like so:

$N=Ke^{-0.069 \cdot 0}$

$N=Ke^{0}$

$N=K(1)$

$N=K$

We are given at time 0 the amount of chemical substance,N, is K. They want us to represent this value with $N_0$ instead. So the exponential equation is:

$N=N_0e^{-0.069t}$

We are given $N_0=800$ at $t=0$ .

We are asked to find how much of the chemical substance, N, remains after 2 days. So we replace t with 2 in $N=800e^{-0.069t}$ :

$N=800e^{-0.069 \cdot 2}$

Put into calculator:

$N=696.9$ (this was rounded to the nearest tenths)

The last part is asking for how many days will it take a initial 800 grams to go down to half of 800 grams.

We need to see the following equation:

$\frac{1}{2}(800)=800e^{-0.069t}$

$400=800e^{-0.069t}$

Divide both sides by 800:

$\frac{400}{800}=e^{-0.069t}$

Reduce the fraction:

$\frac{1}{2}=e^{-0.069t}$

Convert to logarithmic form:

$\ln(\frac{1}{2})=-0.069t$

Divide both sides by -0.069:

$\frac{\ln(\frac{1}{2})}{-0.069}=t$

Input into calculator:

$10.0=t$

$t=10.0$

$t=10$

6 0

3 years ago

A container holds 9 red markers, 13 blue markers, and 17 green markers. You will randomly select two markers without replacement

IRISSAK [1]

Answer:

R-------8/38--------RR

R------9/39--------B-------13/38-------RB

G------17/38--------RG

R-------9/38--------BR

B--------13/39------B-------12/38-------BB

G-------17/38-------BG

R-----9/38--------GR

G---------17/39-------B------13/38-------GB

G------16/38-------GG

b).

9 ways
ways you can select 1 blue are; RB,BR,BG,GB

RB=9/39 × 13/38=3/38

BR= 13/39 × 9/38 =3/38

BG= 13/39 × 17/38=17/114

GB= 17/39 × 13/38=17/114

=3/38 +3/38+17/114+ 17/114 =26/57

Probability of selecting 2 red markers= RR = 9/39 × 8/38 =12/247

Probability of selecting a green marker and then a red marker= GR= 17/39×9/38 =51/494

8 0

4 years ago

My Uncle ordered 5 Pizzas, we were 20 people in all. I was just thinking how many pieces of

LUCKY_DIMON [66]

5 multiply by 8=40
40 divided by 20=2
So each person gets 2 slices of pizza

5 0

2 years ago

Read 2 more answers

WILL MARK BRAINLIEST HELP

anastassius [24]

Answer:

<h2>72 square units</h2>

Step-by-step explanation:

First let's find the area of the middle rectangle.

We know the width of this rectangle is 6 and the length is 8 so we will multiply these two numbers.

6 × 8 = 48

Now let's find the area of the triangles

The formula is ((length × width) ÷ 2)

The width is 3, as it is not part of the rectangle, and the length is 8

And there are two triangles so we will do this twice

((8 × 3) ÷ 2) = 12

Now add up all of the areas

48 + 12 + 12 = 72

So 72 is our final answer

6 0

3 years ago

Read 2 more answers

Using substitution y= 5X-8. 4X+3y=33

Lesechka [4]

Explanation:

A system of equations are two or more equations that has to be valid at the same time. It means that the variables of one equation can be substitute in the other equation.

For example we have y=5x−8 and we can substitute this value of y in the other equation

4x+3y=33

4x+3(5x−8)=33 we can solve now for x

4x+15x−24=33

19x=33+24

19x=57

x=5719=3.

y can be obtained from the first equation

y=5x−8

y=5⋅3−8=15−8=7

Then x=3 and y=7.

6 0

4 years ago