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tino4ka555 [31]
3 years ago
12

Help me please with this

Mathematics
1 answer:
AysviL [449]3 years ago
8 0
Since both angle are congruent (equal/same), which means that both side is equal to 40 degrees, we will put the equation like this:

5x - 5 = 40

Now we’ll solve for x:

5x - 5 = 40
+ 5 + 5 (Add 5 to both sides)

5x = 45
—- —— (Five both side by 5)
5 5

x = 9

Now we left with x, so x is equal to 9.
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Evaluate. Let n = 2.Enter the answer in lowest terms. 
jok3333 [9.3K]
First you do the top
8n+3n-7=8*2+3*2-7=16+6-7= 22-7=15
Then you found out the bottom
6*2n-3(n-1)=6*2*2-3(2-1)=6*2*2-3*1=6*4-3*1=24-3*1=24-3=21
15/21 is your answer.
Hope this helps! :)
5 0
4 years ago
Read 2 more answers
I don’t get this plz help me I been sitting here for a while
LiRa [457]
Common factors are 5 and 15 and 3
5 0
4 years ago
A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed
Stells [14]
Draw a right angled triangle ABC, where <B = 90 degrees 

<span>BC is the base, and BC = 12 m and C represents spot light on the ground and B is foot of the wall </span>

<span>Draw a perpendicular DE from a point D on hypotenuse, AC to a point E on BC </span>

<span>DE represents walking man and DE = 2 m </span>

<span>Now AB represents height of shadow, let AB = y </span>

<span>let EC = x </span>

<span>from similar triangles, ABC and DEC </span>

<span>AB/DE = BC/EC </span>

<span>y/2 = 12/x </span>

<span>y = 24/x </span>

<span>differentiating with respect to t </span>

<span>dy/dt = - (24/x^2) dx/dt </span>

<span>substitute x = (12 - 4) = 8 and dx/dt = 1.9 m/s </span>

<span>dy/dt = - (24 / 64)(1.9) </span>

<span>= -0.7125 </span>

<span>length of shadow is decreasing at the rate of 0.7125 m /s</span>
4 0
3 years ago
Read 2 more answers
A man spend 3/5 of his money and has$ 90 left . how much did he have initially​
Slav-nsk [51]

Answer:

225 I believe because if he has $90 that is 2/5 so add another 90 whitch is 2/5 as well and divide 90 by 2 and to get 45 which all adds up to 225

6 0
3 years ago
On March 9, 2018, NCAA fans across the world were shocked when the Retrievers of the University of Maryland, Baltimore County (U
blsea [12.9K]

Answer:

UMBC scored 10,14 and 12 one - point free throws, two point baskets and three point baskets respectively.

Step-by-step explanation:

Let's start defining the variables.

X : ''Number of 1 - point free throws''

Y : ''Number of 2 - point baskets''

Z : ''Number of 3 - point baskets''

UMBC scored a total of 74 points. Therefore,

X.1+Y.2+Z.3=74 (I)

Where X.1 represents the total points from 1 - point free throws.

Where Y.2 represents the total points from 2 - point baskets.

And finally Z.3 represents the total points from 3 - point baskets.

Reading the exercise, we can write two more equations :

Y=Z+2\\Z=X+2

Let's write Y and X in terms of Z

Y=Z+2 (II)

Z=X+2 ⇒ X=Z-2 (III)

Replacing (II) and (III) in (I) :

(Z-2).1+(Z+2).2+Z.3=74

Z-2+2Z+4+3Z=74

6Z+2=74\\6Z=72\\Z=12

We find that the variable Z is 12. Replacing this value in (II) and (III) ⇒

Y=12+2=14\\Y=14

X=12-2=10\\X=10

Finally, UMBC scored 10 baskets from 1 - point free throws,14 baskets from of 2 - point and 12 baskets of 3 - point.

We can verify by replacing X = 10 , Y = 14 and Z = 12 in equation (I) :

10.1+14.2+12.3=74\\10+28+36=74\\74=74

5 0
3 years ago
Read 2 more answers
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