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Kisachek [45]
1 year ago
8

Figure 1 is similar to figure 2. What is TS?1 unit4 units8 units2 units​

Mathematics
1 answer:
I am Lyosha [343]1 year ago
5 0

Answer:

8 units

Step-by-step explanation:

ratios  

(x-3) /( x+1)  = (x-2)/(x+3)     cross multiply

x^2 -x -2 = x^2 - 9

  -x - 2 + 9 = 0

    x = 7          

           so TS = x + 1 = 8 units

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Solve.<br> y=x - 7<br> 5+2y=7
lesantik [10]

Answer:

\huge\boxed{x=8;\ y=1\to(8;\ 1)}

Step-by-step explanation:

\left\{\begin{array}{ccc}y=x-7&(1)\\5+2y=7&(2)\end{array}\right\\\\\text{Substitute (1) to (2) and solve for x:}\\\\5+2(x-7)=7\qquad\text{use the distributive property}\\\\5+(2)(x)+(2)(-7)=7\\\\5+2x-14=7\\\\2x+(5-14)=7\\\\2x-9=7\qquad\text{add 9 to both sides}\\\\2x-9+9=7+9\\\\2x=16\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{16}{2}\\\\\boxed{x=8}

\text{Substitute it to (1):}\\\\y=8-7\\\\\boxed{y=1}

8 0
3 years ago
Read 2 more answers
5a + 18 &lt; −27 pre algibra
Grace [21]

Answer:

X < -9

Step-by-step explanation:

5a +18 < -27

5a < -27 -18

5a < - 45

5a/5 < - 45/5

a < - 9

Answred by Gauthmath

5 0
2 years ago
Read 2 more answers
How do you simplify 8*1/10
Lelechka [254]

Answer:

Improper its 81/10

Step-by-step explanation:

8   1/10~ we should multiply denominator with whole number then add numerator:

10 x 8 = 80+ 1 = 81

In improper its- 81/10

Hope this helps :D

8 0
3 years ago
Evaluate the variable expression when a=-4, b=2, c=-3, and d =4. b-3a/bc^2-d​
gtnhenbr [62]

Answer:

Therefore, the variable expression when a=-4, b=2, c=-3, and d =4 is

\dfrac{b-3a}{bc^{2}-d}=1

Step-by-step explanation:

Evaluate:

\dfrac{b-3a}{bc^{2}-d}

When a=-4, b=2, c=-3, and d =4

Solution:

Substitute, a=-4, b=2, c=-3, and d =4 in above expression we get

\dfrac{b-3a}{bc^{2}-d}=\dfrac{2-3(-4)}{2(-3)^{2}-4}\\\\=\dfrac{2+12}{18-4}\\\\

\dfrac{b-3a}{bc^{2}-d}=\dfrac{14}{14}=1

Therefore, the variable expression when a=-4, b=2, c=-3, and d =4 is

\dfrac{b-3a}{bc^{2}-d}=1

6 0
3 years ago
I have three times as many cats as Alice but Bob has 7 less cats than me. In total we have 56 cats. How many cats do I have?
Nookie1986 [14]

The number of cats that you have is; 27 cats

<h3>How to calculate algebra word problems?</h3>

Let the number of cats alice has be x.

Since you have thrice the amount of cats that alice has, then you have 3x cats.

Bob has 7 less cats than you. Thus, bob has; 3x - 7

If they have a total of 56 cats, then;

x + 3x - 7 + 3x = 56

7x - 7 = 56

7x = 56 + 7

7x = 63

x = 63/7

x = 9

Thus, number of cats you have = 3x = 3 * 9 = 27 cats

Read more on algebra word problems at; brainly.com/question/13818690

4 0
2 years ago
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