Answer:
Step-by-step explanation:
y+ 20= x+ 15( Vertically opposite angles)
y+ 20- 15= x
x= y+ 5 __(1)
3x+ 5=4y- 15
Substituting (1)
3(y+5)+ 5= 4y-15
3y+15+5=4y- 15
y=15+20
y= 35
x= 40
Angle-side-angle is a rule used to prove whether a given set of triangles are congruent. The ASA rule states that: If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent
Answer:
{24, 18, 12, 6, 0} is the range of the above function
Step-by-step explanation:
solution:
let, x= -4
f(-2) = 12-3*(-2)
= 12+12
=24
let,x= -2
f(-2) = 12-3*(-2)
=12+6
18
let,x =0
f(0)= 12-3*0
=12-0
=12
let,x=2
f(2) = 12-3*2
=12-6
=6
let,x=4
f(4) = 12-3*4
=12-12
=0
The present age of mother and her daughter respectively are; 40 and 10 years respectively.
<h3>How to Solve Algebra Word Problems?</h3>
Let x and y be the present age of mother and her daughter respectively.
Therefore;
x + y = 50
x = 50 − y .....(1)
After 20 years, mother's age will be twice her daughter's age at the time. Thus;
x + 20 = 2(y + 20)
x − 2y = 20 .....(2)
Plugging eq 1 into eq 2 gives us;
50 − y − 2y = 20
3y = 30
y = 10
Thus;
x = 50 − 10
x = 40
Thus, the present age of mother and her daughter is 40 and 10 years respectively.
Translation of the question into English is;
The sum of the present ages of mother and her daughter is 50 years. After 20 years, mother's age will be twice her daughter's age at the time. Find their present ages.
Read more about Algebra Word Problems at; brainly.com/question/21405634
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IN A triangle, sum of all angles = 180 degrees
2x + 3 + 4x+2 + 2x -1 = 180
8x +4 = 180
8x = 176
x = 176 /8 = 22 degrees
the angles are A = 2(22)+3 = 44+3 = 47 DEGREES
B = 4(22)+2 = 88 + 2 = 90 DEGREES
C = 2(22) -1 44-1 = 43 DEGREES
