Here in this question, we are to solve for x and get the measure of Angle A
Mathematically,
∠A = ∠B
The reason for this is because both are corresponding angles and corresponding angles are equal.
Since they are equal in value, we can equate the given expressions for each of the two angles
Thus;
7x + 40 = 3x + 112
Let us collect like terms
7x-3x = 112 - 40
4x = 72
x = 72/4
x = 18
But the question asks to get the value of ∠A
From the questionn, we are told that ∠A = 7x + 40
To get the value of ∠A, we need to substitute x
∠A = 7(18) + 40
∠A = 126 + 40
∠A = 166
∠A = 166 and x = 18
The height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm
<em><u>Solution:</u></em>
Given that The largest species of penguins is the emperor penguin. One of the smallest is the Galápagos penguin
<em><u>To find: height of each penguin</u></em>
From given question,
Let "e" be the height of emperor penguin
Let "g" be the height of galapagos penguin
Total height of two penguins = 169 centimeter
Therefore,
height of emperor penguin + height of galapagos penguin = 169
e + g = 169 ---- eqn 1
The emperor penguin is 22 centimeters more than twice the height of the Galápagos penguin
height of emperor penguin = 22 + 2(height of galapagos penguin)
e = 22 + 2g --- eqn 2
Let us solve eqn 1 and eqn 2
From eqn 1,
g = 169 - e ------- eqn 3
Substitute eqn 3 in eqn 2
e = 22 + 2(169 - e)
e = 22 + 338 - 2e
e + 2e = 360
3e = 360
<h3>e = 120</h3>
Thus from eqn 3,
g = 169 - 120
<h3>g = 49</h3>
Thus height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm
Step-by-step explanation:
Answer:
2x-7
Step-by-step explanation:
let the no be X
twice the no =2X
diminished by 7= 2X-7
