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PolarNik [594]
3 years ago
5

Angle 3 and angle 4 are supplementary. Angle 3 equals 5x + 15 and angle 4 equals 10x. What does x equal

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0

Answer:

X = 11

Step-by-step explanation:

since the angles are supplementary that means their sum is 180

<em>5x + 15 + 10x = 180 \\ 15x + 15 = 180 \\ 15x = 180 - 15  \\ 15x = 165 \\ x = 165  \div 15 \\ x = 11</em>

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Suzie's Nursery is having a sale on two kinds of plants, venus fly traps and bonsai trees.
ANTONII [103]

Answer:

Venus fly trap = 12

Bonsai tree = 17

Step-by-step explanation:

Given that :

Venus fly trap = $3per plant

Bonsai tree = $5 per plant

Number of plants sold = 29

Total cost of plant sold = $121

Let venus fly trap = x ; bonsai tree =y

x + y = 29 ___ (1)

3x + 5y = 121 ____(2)

From (1) :

x = 29 - y

In (2):

3(29 - y) + 5y = 121

87 - 3y + 5y = 121

87 + 2y = 121

2y = 121 - 87

2y = 34

y = 34/2

y = 17

x = 29 - 17

x = 12

Hence,

Venus fly trap = 12

Bonsai tree = 17

7 0
3 years ago
4. Stella says the equation x^2−8x+y^2+2y=5 has a center of (4,−1) and a radius of 5. Is she correct? Why or why not?
Ostrovityanka [42]
<h2>Stella is correct about center and wrong about radius      </h2>

Step-by-step explanation:

Equation of circle with (h,k) as center and radius r is given by,

          (x-h)²+(y-k)² = r²

Here equation is

          x²−8x+y²+2y=5

Changing in to (x-h)²+(y-k)² = r² form

           x²−8x + 16 - 16 +y²+2y+1 - 1=5  

           (x-4)² - 16 + (y+1)² -1 = 5

           (x-4)²  + (y+1)²  = 22

           (x-4)²  + (y+1)²  = 4.69²

           Center is (4,-1) and radius is 4.69

Stella is correct about center and wrong about radius            

8 0
3 years ago
2(y-1)+y=14 what does y equal
Paha777 [63]

Answer:

y = 16/3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the radius of a hemisphere with a volume of 94 m", to the nearest tenth of a<br><br> meter?
Andrej [43]

Answer:

3.553774

Step-by-step explanation:

\frac{2}{3} \pi {r}^{3} = 94

h

works out to 3.553774

4 0
2 years ago
if this cube shaped container was filled with 1 cm blocks,how many block would fill the cube. each corner is 5 cm long
PSYCHO15rus [73]

Answer:

6

Step-by-step explanation:

7 0
3 years ago
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