Answer:
a) t=98
b) b=32
Step-by-step explanation:
a) 4t/7 -20=36r
r=1
4t/7-20=36
=36
4t-140=252
4y=392
t=98
b) 2k/5=b/2-12
k=10
20/5=b/2-12
4=
8=b-24
b=32
When h is one-half and j is one-third, g is 4. if g varies jointly with h and j, what is the value of g when h is 2 and j is 3?
1 answer:
The value of g = 144 solved by using direct proportion.
<h3>What is a direct proportion?</h3>Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. It is represented by the proportional symbol, ∝.
Given that,
h = , j =
, g = 4
g ∝ hj
g = khj
where k is a constant.
4 = k××
k = 24
Also given that,
g = ? , h =2, j = 3
g = khj
g = 24×2×3
g = 144
Hence, The value of g = 144.
To learn more about direct proportion from the given link:
#SPJ4
You might be interested in
Answer:
The two column proof can be presented as follows;
Statement Reason
1. RUST is a rectangle Given
2. RU = ST ; UT = RS Definition of a rectangle
3. ∠STU and ∠SRU are right angles Definition of a rectangle
4. ΔURS ≅ ΔSTU By SAS rule of congruency
5. ∠USR = ∠SUT By CPCTC
Step-by-step explanation:
Given that the side RU, the angle ∠SRU and the side RS of triangle ΔURS are congruent to the side ST the angle ∠STU and the side UT of triangle ΔSTU, then ΔURS is congruent to ΔSTU, by the Side-Angle-Side (SAS) rule of congruency
Therefore, we have that ∠USR ≅ ∠SUT and therefore, it can be shown that ∠USR = ∠SUT using the Congruent Parts of Congruent Triangle are Congruent (CPCTC) postulate.
