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Alja [10]
3 years ago
15

Correct answer gets Brainliest! Solve for x.

Mathematics
2 answers:
Simora [160]3 years ago
4 0

Subtract 13 from both sides:

-7-13 \geq -5x

-20 \geq -5x

Divide both sides by -5. Since this is a negative number, you have to invert the inequality sign:

4 \leq x

Which means

x \geq 4

Butoxors [25]3 years ago
3 0

Hi Valblessed,

Solve:

−7 ≥ 13 − 5x

−7 ≥ −5x + 13

−5x + 13 ≤ − 7

−5x + 13 − 13 ≤ − 7 − 13

−5x ≤ − 20

−5x/−5 ≤ −20/−5

x ≥ 4

Answer:

x ≥ 4

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PLEASE HELP ME WITH THIS MATH!!!!!!!!!. pLeAsE i ReAlLy NeEd SoMe HeLp
KonstantinChe [14]
Part 1) we know that
m∠5=44°    m∠11=86°
m∠2=m∠5------> by vertical angles
m∠2=44°
m∠13=m∠11------> by vertical angles
m∠13=86°
m∠12+m∠13=180°-----> supplementary angles
m∠12=180-86-----> m∠12=94°
m∠14=m∠12----> by vertical angles
m∠14=94°
m∠1=m∠11----> by corresponding angles
m∠1=86°
m∠4=m∠1----> by vertical angles
m∠4=86°
m∠2+m∠1+m∠6=180
m∠6=180-(86+44)----> 50°
m∠6=50°
m∠3=m∠6----> by vertical angles
m∠3=50°
m∠8=m∠3----> by corresponding angles
m∠8=50°
m∠8+m∠7=180°-----> supplementary angles
m∠7=180-50----> 130°
m∠7=130°
m∠10=m∠6----> by corresponding angles
m∠10=50°
m∠10+m∠9=180°-----> supplementary angles
m∠9=180-50-----> 130°
m∠9=130°

the answers Part 1) are
m∠1=86°
m∠2=44°
m∠3=50°
m∠4=86°
m∠5=44° 
m∠6=50°
m∠7=130°
m∠8=50°
m∠9=130°
m∠10=50°
m∠11=86°
m∠12=94°
m∠13=86°
m∠14=94°

Part 2) 
a) what is m∠TPR?
in the right triangle PTR 
m∠PTR+m∠TPR+m∠TRP=180° ( the sum of internal angles of triangle is equal to 180 degrees)
m∠PTR=30°
m∠TRP=90°
so
m∠TPR=180-(90+30)----> 60°

the answer Part 2a) is 
m∠TPR=60°

b) what is the length in inches of segment PR?
in the right triangle PTR 
sin 30=PR/TP-----> PR=TP*sin 30-----> PR=14*(1/2)----> 7 in

the answer Part 2b) is
PR=7 in

c)  what is the length in inches of segment TR?
in the right triangle PTR 
cos 30=TR/PT-----> TR=PT*cos 30-----> TR=14*(√3/2)---> TR=7√3 in

the answer Part 2c) is
TR=7√3 in

d)  what is the length in inches of segment PQ?
in the right triangle PQR
PR=7 in
RQ=PR-----> by angle 45°
so
RQ=7 in
applying the Pythagoras Theorem
PQ²=RQ²+PR²-----> 7²+7²-----> PQ²=98-----> PQ=√98 in---> PQ=7√2 in

the answer Part 2d) is
PQ=7√2 in

Part 3) Patrice buys a block of wax in the shape of a right rectangular prism. The dimensions of the block are 20 cm by 9 cm by 8 cm.
  <span><span>(a)   </span>What is the volume of the block?

volume of the prism=20*9*8-----> 1440 cm³

the answer Part 3 a) is
the volume of the block is 1440 cm³
<span>
Patrice melts the wax and creates a candle in the shape of a circular cylinder that has a diameter of 10 cm and a height of 15 cm.<span>(b)   </span>To the nearest centimeter, what is the volume of the candle?
</span></span>volume of a cylinder=pi*r²*h
diameter=10 cm
radius r=10/2----> 5 cm
h=15 cm
volume of a cylinder=pi*5²*15----> 1177.5 cm³-----> 1178 cm³

the answer Part 3b) is
the volume of the candle is 1178 cm³

<span>Patrice decides to use the remaining wax to create a candle in the shape of a cube.<span>(c)   </span>To the nearest centimeter, what is the length of the side of the cube?
</span>
the remaining wax=volume of the prism-volume of a cylinder
=1440-1178-----> 262 cm³

volume of a cube=b³
where b is the length side of the cube
262=b³-------b=∛262-----> b=6.40 cm-----> b=6 cm

the answer Part 3c) is
the length of the side of the cube is 6 cm
5 0
3 years ago
What is the probability that five people selected at random have the same birthday month?
Arturiano [62]

Answer:

Step-by-step explanation:

Uuryrurururururururu

JK the answer is 49%

5 0
3 years ago
Who discovered that the earth took 365 days to move around the sun
Softa [21]
The fact that it takes Earth 365 days to move year in and year out has been known for many centuries. Even before heliocentric and geocentric models were introduced, people were already familiar with the 365 day period. Perhaps Galileo would be the answer, but hasn't been truly defined as to who first observed this.
5 0
3 years ago
Express the ratio 25 to 5cm in its lowest terms​
bagirrra123 [75]

Answer:

5:1 cm

Step-by-step explanation:

Let's look at the ratio in fraction form, since ratios are easier to think about in this mathematical way:

25:5=\frac{25}{5}

Now we have a fraction which is easier to work with. We can look for a common factor of 25 and 5 and then factor it out to find the lowest terms of our ratio and the simplified version of the fraction. One common factor of 25 and 5 that I can think of is 5 itself. So, let's divide both sides by 5.

\frac{25}{5} ÷ 5\\ = \frac{5}{1}

Does that make sense? 25 divided by 5 is 5, and 5 divided by 5 is 1. So the simplified version of the fraction is \frac{5}{1}, and the lowest terms of the ratio 25:5 cm is 5:1 cm.

Hopefully that makes sense! If you need more help or any of that was confusing or difficult to understand, let me know. :)

7 0
2 years ago
Read 2 more answers
Mason bought 6 loaves of bread and 3 packages of cheese for a total of $27. The cost of a package of cheese is $1.50 more than t
aksik [14]

Answer:

6.50

Step-by-step explanation:

thats what i get

7 0
3 years ago
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