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4 years ago

Are the two shapes are congruent? explain your reasoning?

Mathematics

1 answer:

Anna71 [15]4 years ago

5 0

Answer:

yes

Step-by-step explanation:

because they are the same

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What is the value of x in the equation below?

belka [17]

$remember$
$ln(a^b)=bln(a)$
$ln(e)=1$
$so$
$ln(e^x)=xln(e)=x$

$1+2e^{x+1}=9$
$minus \space\ 1 \space\ both \space\ sides$
$2e^{x+1}=8$
$divide \space\ both \space\ sides \space\ by \space\ 2$
$e^{x+1}=4$
$take \space\ ln \space\ of \space\ both \space\ sides$
$ln(e^{x+1})=ln(4)$
$(x+1)ln(e)=ln(4)$
$x+1=ln(4)$
$minus \space\ 1 \space\ from \space\ both \space\ sides$
$x=ln(4)-1$
$answer \space\ is \space\ C=ln(4)-1$

5 0

3 years ago

Read 2 more answers

4. Ideal amount of children

Vaselesa [24]

Answer:

Step-by-step explanation:

Formula:

$\frac{sum of all numbers added together}{total amount of numbers}$

$\frac{21}{7}$ = 3

3 0

3 years ago

A candy store makes a 9-pound mixture of gummy candy, jelly beans, and hard candy. The cost of gummy candy is $2.00 per pound, j

Musya8 [376]

Let

x--------> the amount of gummy candy in pounds

y--------> the amount of jelly beans in pounds

z--------> the amount of hard candy in pounds

we know that

$x+y+z=9$ --------> equation $1$

$2x+3y+3z=23$ --------> equation $2$

$x=2y$ --------> equation $3$

Substitute equation $3$ in equation $1$ and equation $2$

$[2y]+y+z=9$ -----> $3y+z=9$ ------> equation $4$

$2[2y]+3y+3z=23$ -----> $7y+3z=23$ ------> equation $5$

using a graphing tool ------> Solve the system of equations

see the attached figure

the solution is the point $(3,2)$

$z=3\ pounds\\y=2\ pounds$

<u>Find the value of x</u>

$x=2y$

$x=2*2=4\ pounds$

therefore

<u>the answer is</u>

the amount of gummy candy is $4\ pounds$

the amount of jelly beans is $2\ pounds$

the amount of hard candy is $3\ pounds$

8 0

3 years ago

Read 2 more answers

In ΔRST, the measure of ∠T=90°, the measure of ∠R=39°, and TR = 55 feet. Find the length of ST to the nearest tenth of a foot.

kolbaska11 [484]

<u>Answer:</u>

<u>Explanation:</u>

given:

∠T=90° , ∠R=39° and TR = 55 ft

ST = 55×tan(39)

ST = 55×0.80..

ST = 44.54 ft

7 0

4 years ago

Chelsea has four hours of free time on Saturday. She would like to spend no more than 2/3 of an hour on each activity. How many

Galina-37 [17]

Namely, how many times 2/3 goes into 4, well, let's just divide them then

$\bf \cfrac{\stackrel{\textit{total hours}}{4}}{\stackrel{\textit{hours per activity}}{\frac{2}{3}}}\implies \cfrac{\quad \frac{4}{1}\quad }{\frac{2}{3}}\implies \cfrac{4}{1}\cdot \cfrac{3}{2}\implies \cfrac{12}{2}\implies 6$

4 0

4 years ago

Are the two shapes are congruent? explain your reasoning?​

Are the two shapes are congruent? explain your reasoning?