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sveticcg [70]
3 years ago
13

HELP ME ON THIS PLEASE!!!! SHOW WORK!!!!

Mathematics
1 answer:
Mumz [18]3 years ago
3 0

Answer:

<h2>1. x = 4</h2><h2>2. x = 20</h2>

Step-by-step explanation:

1.

ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:

\dfrac{AC}{AJ}=\dfrac{AB}{AK}

We have:

AC = 1 + 4 = 5

AJ = 1

AB = 1 + x

AK = 1

Substitute:

\dfrac{5}{1}=\dfrac{1+x}{1}

5=1+x           <em>subtract 1 from both sides</em>

4=x\to x=4

2.

ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:

\dfrac{VU}{VM}=\dfrac{VT}{VN}

We hve:

VU = x + 8

VM = x

VT = 49

VN = 49 - 14 = 35

Substitute:

\dfrac{x+8}{x}=\dfrac{49}{35}              <em>cross multiply</em>

35(x+8)=49x          <em>use the distributive property a(c + b) = ab + ac</em>

35x+280=49x              <em>subtract 35x from both sides</em>

280=14x         <em>divide both sides by 14</em>

20=x\to x=20

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A sailboat started his journey at 6:30 am and reached his destination at 11:45 pm.If the distance of the journey was 1276.5, wha
attashe74 [19]

Answer:

74 mph

Step-by-step explanation:

step 1

Find the total time

A sailboat started his journey at 6:30 am and reached his destination at 11:45 pm

so

from 6:30 am to 12:00 pm ----> there are 5 hours + 30 minutes=5.5 hours

from 12:00 pm to 11:45 pm ----> there are 11 hours + 45 minutes=11.75 hours

The total time is

5.5+11.75=17.25 hours

step 2

Find the average speed

we know that

The average speed is equal to divide the total distance by the total time

speed=\frac{1,276.5}{17.25}= 74\ mph

4 0
3 years ago
PLEASE HELP!!! <br>Please and thank you
Helga [31]
Hello.

17. ( 3 + 5 ) · 8 = 64

18. 4 · ( 6 - 2 ) + 7 = 23

19. 10 ÷ ( 3 + 2 ) · 4 = 8

20. ( 3 + 6 ) · 2 = 18

---------------------------------
5 0
3 years ago
Brad has 42 stamps to arrange on an album page
grin007 [14]

Answer:

6×7 =42

I think it suitable

5 0
3 years ago
Read 2 more answers
Which number line shows the solution to −6 − (−2)? A number line is shown from negative 10 to 0 to positive 10. There are increm
VARVARA [1.3K]

Answer:

The correct option is A) A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 4 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.

Step-by-step explanation:

Consider the provided expression.

−6 − (−2)

Open the parentheses and change the sign.

−6 − (−2)

−6 + 2

Subtract the numbers.

−4

Now draw this on number line.

First draw a number line is shown from −10 to 0 to 10. with scale of 2 unit on either side of the number line. Draw an arrow pointing from 0 to −6 Which show −6. Above this, another arrow pointing from −6 to −4 which shows −6 − (−2) = −4. A vertical bar is shown at the tip of the arrowhead of the top arrow.

The required number line is shown in the figure 1.

Hence, the correct option is A) A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 4 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.

4 0
3 years ago
In Daniel’s fifth grade class, 37.5% of the 24 students walk to school. One-third of the walkers got a ride to school today from
Alexeev081 [22]
The percentage of walkers who got a ride is 37.5/3=12.5%
The number of that is 0.125*24=3 students.
5 0
3 years ago
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