GIVEN:
Cost of a taco and a cup of tea = $2.10
Cost of 2 tacos and 3 cup of tea = $5.15
ANSWER:
On solving eq(1), we get
Substitute the value of x in eq(2), we get
- 2(2.10 – y) + 3y = 5.15
- 4.20 – 2y + 3y = 5.15
- y = 5.15 – 4.20
- y = 0.95
So, x = 2.10 – 0.95
Hence, Cost of a taco is $1.15
So, <u>Correct choice</u> - [E] $1.15
Given:
The function is

To find:
The rate of change of the given function.
Solution:
We have,
...(i)
It is a linear function because the degree or power of x in this function is 1.
Slope of a linear function is always constant.
The slope intercept form of a linear function is
...(ii)
where, m is slope and b is y-intercept.
On comparing (i) and (ii), we get

It means, the function has a constant rate of change, decreasing for all x at a rate of 5.
Therefore, the correct option is D.
third angle = 80°
to find the third angle, add the 2 given angles and subtract from 180
third angle = 180° - (30 + 70 )° = 180 - 100 = 80°
The
correct answer is in file attached
<span>we have<span>
</span>
triangle RST<span>
</span><span>m∠R = 60, m∠S = 80 and m∠T=180-(80+60)=40</span></span>
<span>RS=4<span>
</span>
triangle EFD<span>
</span><span>m∠F = 60, m∠D = 40 and m∠E=180-(60+40)=80</span></span>
EF=4
Therefore
<span>The triangles
RST<span> and </span>
EFD are
congruents because they have two angles and the side common to them,
respectively, equal.
This is the theorem of ASA (angle-side-angle).</span>
Explication
Side common--------> RS=EF
<span>Angles RS------------- > m∠<span>R =
60 m</span>∠S =
80 </span>
<span>Angles EF------------- > m∠<span>E =
80 m</span>∠F = 60 </span>
<span>The segment which is congruent
to RT is FD, because angles of RT are 60 and 40, and angles of FD also are 60
and 40.</span>