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Likurg_2 [28]
2 years ago
14

Find the value of x.

Mathematics
1 answer:
hjlf2 years ago
6 0

Answer:

x = 14

Step-by-step explanation:

Since they are similar triangles, their sides are proportional

12 : 15  :: 8 : x - 4

Product of extremes = Product of means

12 × ( x- 4 ) = 15 × 8

12x -48 = 120

12x = 120 + 48

12x = 168

x = 168/12

x = 14

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Kosma is cooking a lamb stew. When cooking this recipe she uses 12 of a cup of water per person. Today she is cooking for 9 peop
melomori [17]

Kosma used 242 cups of water in total

Kosma is cooking a lamb stew

The recipe uses 12 cups of water per person

She is cooking for 9 people, the number of cups used is calculated by multiplying 12 by 9

= 12 × 9

= 108

She added extra 134 cups of water as she noticed that she will be needing a little extra stew

Total number of cups of water used

= 134 + 108

= 242

Hence Kosma used 242 cups of water for the stew

Read more here

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5 0
2 years ago
Which numbers will round to 19 when they are rounded to the nearest whole number?
Nonamiya [84]

Answer:

18.82 , 19.33 , 19.46

Hope this helps :)

6 0
3 years ago
Read 2 more answers
2x-7/3-5x+4/5=-x-4/30
Strike441 [17]

Answer:

Exact form: -7/10

Decimal form: -0.7

Step-by-step explanation:

Isolate the variable by dividing each side by by factors that don't contain the variable.

5 0
3 years ago
Given y = 2x + 4, what is the new y-intercept if the y-intercept is decreased by 5? A) −1 B) −3 C) −4 D) −5
elena-14-01-66 [18.8K]
The new y-intercept would be A)-1 because of the 4-5 = -1
3 0
3 years ago
ΔCAR has coordinates C (2, 4), A (1, 1), and R (3, 0). A translation maps point C to C' (3, 2). Find the coordinates of A' and R
shutvik [7]

Answer:

A'= (2,-1) and R'=(4,-2) under this translation.

Step-by-step explanation:

A translation in R^{2} is a mapping T from R^{2} to R^{2}  defined by T(x,y) = (x + v_1,y+v_2), where v=(v_1,v_2) is a fixed vector in R^{2}.

From the problem we know that T(2,4)=(3,2), so we need to find the values v_1 and v_2 such that  T(2,4) = (2 + v_1,4+v_2)=(3,2), so 3=2 + v_1 and 4+v_2=2, thus v_1=1 and v_2=2.

Then T(x,y) = (x + 1,y-2) and  

T(1,1)=(1+1,1-2)=(2,-1)=A'

T(3,0)=(3+1,0-2)=(4,-2)=R'

Therefore A'= (2,-1) and R'=(4,-2). The triangles CAR and C'Q'R' are shown in the figure below.

7 0
3 years ago
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