∠R = 100° , ∠S = 40° and ∠T = 40°
<u>Step-by-step explanation:</u>
In a triangle, sum of all the angles in a triangle is equal to 180 degrees.
In Δ RST,
∠R + ∠S + ∠T = 180°
It is given that,
∠S = ∠T
∠R = 2∠S + 20
So plugin these values in the above equation, we will get,
2∠S + 20 + ∠S+ ∠S = 180
4∠S = 180 - 20
∠S = 160/ 4 = 40
∠R = 2× 40 + 20 = 80 + 20 = 100°
∠S = ∠T = 40°
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Answer:there were 23 birds and 4 cats
Step-by-step explanation:
Let x represent the number of birds at the shelter on Thursday.
Let y represent the number of cats at the shelter on Thursday.
Maya found a record showing that there were a total of 27 birds and cats on Thursday. This means that
x + y = 27
An animal shelter spends $2.00 per day to care for each bird and $6.00 per day to care for each cat. Maya noticed that the shelter spent $70.00 caring for birds and cats on Thursday. This means that
2x + 6y = 70 - - - - - - - - - - - - - - 1
Substituting x = 27 - y into equation 1, it becomes
2(27 - y) + 6y = 70
54 - 2y + 6y = 70
- 2y + 6y = 70 - 54
4y = 16
y = 16/4
y = 4
x = 27 - y = 27 - 4
x = 23
Answer:
Step-by-step explanation:
Let the width of the rectangle = x
As length is 5 inches longer than width, we have to add 5 to width
Length = x + 5
Perimeter of ractangle = 56 in
2* (length + width) = 56
2*( x + 5 + x) = 56
2* (2x + 5) = 56
Use distributive property: a*(b +c) =(a*b) + (a * c)
2*2x + 2*5 = 56
4x + 10 = 56
Subtract 10 from both sides
4x = 56- 10
4x = 46
Divide both sides by 4
x = 46/4
x = 11.5
Width = 11.5 in
length = 11.5 + 5
= 16.5 in
Answer:
30 grams
Step-by-step explanation:
half life is 60 days so every 60 days the amount 480 grams will be half
in 240 days will decay 240 /60 = 4 times
once 480 /2 = 240
twice 240 /2 = 120
trice 120 / 2 = 60
four times 60/2 = 30 grams will be left
Answer:
N+6
Step-by-step explanation:
