On Saturday, the temperature was
75.5°F. The temperature rose by
6°F on Sunday, then dropped by
3.5°F on Monday. Write an expression
to represent how the temperature
changed. What was the temperature
on Monday?

<HFG ≅ <JHI because they are corresponding angles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.

When two parallel lines are crossed by a transversal, the angles that are formed in matching corners along the transversal are regarded as corresponding angles which are congruent to each other.

In the proof, HFG and JHI are corresponding angles that are forrmed. Therefore, they are equal based on the fact that corresponding angles are congruent.

Thus, Cai's first error in the proof was made in his 4th statement. <HFG ≅ <JHI because they are corresponding anglles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.

Learn more about corresponding angles on:

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Answer:Answer is A

Step-by-step explanation:

just did it on khan academy

Answer:

1/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is kinda confusing give me a second

[tex]\\ \rm\rightarrowtail y=x^2-10x+16[/tex]

[tex]\\ \rm\rightarrowtail y=x^2-10x+16+9-9[/tex]

[tex]\\ \rm\rightarrowtail y=x^2-10x+25-9[/tex]

[tex]\\ \rm\rightarrowtail y=(x-5)^2-9[/tex]

Vertex form

So

vertex:-

The value of them after solving the equation will be m=-2

The given  equation will be

[tex]\dfrac{m}{m+4} + \dfrac{4}{4-m} =\dfrac{m^2}{m^2-16}[/tex]

multiply both sides by  [tex](m+4)(m-4)[/tex]

[tex](m+4)(m-4) (\dfrac{m}{m+4} + \dfrac{4}{4-m} )=(m+4)(m-4) \dfrac{m^2}{m^2-16}[/tex]

[tex]m(m-4)-4(m+4)=m^2[/tex]

[tex]m^2-4m-4m-16=m^2[/tex]

[tex]8m=-16[/tex]

[tex]m=-2[/tex]

Thus the value of them after solving the equation will be m=-2

To know more about factorization  follow

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Answer:

b

Step-by-step explanation:

edge

Answer:

5.5 miles

Step-by-step explanation:

If he ran 11 miles in 2 hours then divide both of them by 2, so 1 hour is equal to 11 / 2 which is 5.5 miles

Answer:  a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x. For example, 4 and −4 are square roots of 16, because 4² = ² = 16

The square of any number is always a positive number, so every number has two square roots, one of a positive value, and one of a negative value. For example, both 2 and -2 are square roots of 4.

Answer:

Count the sides;

(look at image below)

= 17 - gon

Answer:

No, (-4, 6) is not a solution to y = -9.

Step-by-step explanation:

y= -9 has a horizontal line graph.  Every point on this line has -9 as its y-coordinate.  (-4, 6) does not lie on that line and is therefore not a solution to y = -9.

[tex]\bull[/tex]Total number of seats in theatre = 4500

[tex]\bull[/tex]Total number of seats left vacant = 3105

[tex]\longrightarrow[/tex]Number of seats occupied = Total number of seats in theatre - Total number of seats left vacant

[tex]\longrightarrow[/tex]Number of seats occupied

[tex]\quad[/tex]= 4500 - 3105

[tex]\longrightarrow[/tex] 1395

[tex]\\[/tex]

Now,

[tex]\begin{gathered}\bull \sf Percentage \:of \:seats \:filled = \frac{Seats \: filled \: by \:6th \:grader }{Total \:number \:of \:seats} \times 100 \% \\\end{gathered} [/tex]

[tex]\begin{gathered}\bull \sf Percentage \: of \:seats \: filled = \frac{1395}{45\cancel{00}} \times \cancel{100} \% \\\end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \sf \frac{1395}{45} \% \\\end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \sf 31 \% \\\end{gathered} [/tex]

[tex]\longrightarrow[/tex]Thus , 31 % of seats in the theater were filled by the 6th graders on the trip

The mistake made by pearl from solving the quadratic equation is that he didn't equate the equation to zero(0) before solving

x² - 3x - 10 = 8

x² - 3x - 10 - 8 = 0

x² - 3x - 18 = 0

x² - 6x + 3x - 18 = 0

x (x - 6) + 3(x - 6) = 0

(x + 3) (x - 6) = 0

x + 3 = 0. x - 6 = 0

x = -3. x = 6

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The equivalent expression for the expression that represents the amount Carmen would earn is 5000(1.0005^12)^t.

Based on the expression given, Carmen's investment is compounded monthly.

The formula for calculating future value:

FV = P (1 + r)^nm

5000(1.0005)^12t

= 5000(1.0005^12)^t

50002.5^12t

Please find attached the complete question.To learn more about future value, please check: https://brainly.com/question/18760477

Answer: E

Step-by-step explanation:

Side triangles; 6.

(3x4/2=6)

There are 2 triangles.

Back of triangle thing is 24.

Top area is 40.

Bottom area is 32.

12+24+40+32

Answer is 108.

I THINK that is the correct answer. I am so so sorry if it isn't.

Answer:

E- 108 in squared. Hope this helps!

Step-by-step explanation:

Answer:

$10.10

Step-by-step explanation:

Answer:

$10.10

Step-by-step explanation:

please rate and mark as brainlest.

Answer:

58km

Step-by-step explanation:

perimeter of rectangle= 2x(l+b)

2x(28+1)

2x29=58

Answer:

Every polynomial equation P(x) = 0 of any degree ≥ 1 with complex number coefficients has at least one complex number solution.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

the answer is d because we learned about this everyday

Answer:122/600= 0.20333333333

Step-by-step explanation:

Answer:   = 16 + x

Please mark brainliest, it helps alot

Step-by-step explanation:

==============================================================

Combine Like Terms:-

[tex]\bigstar{\boxed{\pmb{7+9x+x}}[/tex]

[tex]\bigstar{\boxed{\pmb{16+x}}[/tex]

Are there any more like terms? No, because 16 & x aren't like terms.

========================================================

Hope everything is clear; if you need any clarification/explanation, kindly comment, and I will comment and/or edit my answer :)

Answer:

794 stamps in his collection

Step-by-step explanation:

If Amir started out with 397 stamps and doubles his collection, he would have 794.
Take the original amount and multiply it by 2

397(2) =794 stamps

Answer:794

Step-by-step explanation:

397x2=794  

Answer:

25/3

Step-by-step explanation:

3x:10=5:2

proportions are basically ratios, and ratios are basically fractions, so we can cross multiply

3x*2=10*5

6x=50

x=50/6

x=25/3

Step-by-step explanation:

please mark me as brainlest

Answer:

11.25

Step-by-step explanation:

Base on the given we can conclude that:

3.75 + 6 × 1.25

Now solve the following:

3.75 + 6 × 1.25

3.75 + 7.50

=11.25

~lenvy~

Answer:11.25

Step-by-step explanation:

Answer:

8.57

Step-by-step explanation:

Hope it helps.......

Answer:

x = 8.57

Step-by-step explanation:

Hi! So first of all, I attached an image that has my best visual explanation of how the 2 triangles overlap but are indeed two separate triangles!

Since the question states that the triangles are similar, that basically means in simple terms that their sides are proportional or, are all based on the same fraction (proportion)! (An example of this is the triangles with the sides that correlate [in this problem, 11 to 7] would be 1 to 2, 3 to 6, and 4 to 8)

Now, we have to figure out which of our sides correspond, the first one being 11 to 7, and the second one being x + 15 (which I got by adding the small portion I have from the big triangle, and the portion I have from the smaller triangle together because the small triangle is inside of the big one!) to 15.

Next, I have to find out what x is based on the fraction (proportion) I already have which is 11 to 7 or [tex]\frac{11}{7}[/tex]. Then, I compare this by setting this proportion equal to are other proportion with x in it!

[tex]\frac{11}{7} = \frac{x+15}{15}[/tex]

Finally, I have to get x by itself to find what it is equal to, which you can see in the image! (If you have a number in the denominator and a variable in the numerator, and a regular number or fraction without a variable on the other side, you can just multiply both sides by the number in the denominator to cancel out the bottom of said variable fraction!)

So! X is equal to 8.57!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

Step-by-step explanation:

[tex]\huge\fcolorbox{blue}{red}{Answer}[/tex]

════════════════════

[tex]\frac{ x }{ 3 } +6-2x=-6[/tex]

[tex]x+18-6x=-18 [/tex]

[tex]-5x+18=-18 [/tex]

[tex]-5x=-18-18 [/tex]

[tex]-5x=-36 [/tex]

[tex]x=\frac{-36}{-5} [/tex]

[tex]x=\frac{36}{5} [/tex]

[tex]= 7 \frac{1}{5}[/tex]

[tex]= 7.2[/tex]

So the answer is [tex]x = 7.2[/tex] or [tex]= 7.2[/tex]

══════════════════════

Step-by-step explanation:

#Carry on learning

Answer:

$204.74

Step-by-step explanation:

At 45% off each battery, the price for 1 battery would be (149.99)*(0.65) = $94.50.  Two batteries would be a total of $194.99.

Add 5% tax:

($194.99)(1.05) = $204.74

Answer:

Portugal in 1815 colonize Brazil.

Answer:

X is 2 2+2= 4 plus 4 = 8

Step-by-step explanation:

Hoped this helped

Answer:

x = 2

explanation:

2x + 4 = 8

subtract 4 from both sides

2x + 4 -4 = 8 -4

2x = 4

divide both sides by 2

2x/2 = 4/2

x = 2

Recheck:

2x + 4 = 8

2(2) + 4 = 8

8 = 8

Hence proved the solution is correct.