Answer:
C
Step-by-step explanation:
Convert them all to the form y = mx + c
1)
4x + 3y = 15
3y = -4x + 15
y = -4/3 x + 5
2)
3x - 4y = -8
-4y = -3x - 8
4y = 3x + 8
y = 3/4x + 2
3)
y + 1 = 4/3(x - 6)
y + 1 = 4/3x - 8
y = 4/3x - 9
4)
y = 3/4x - 5
Answer:
n=4
Step-by-step explanation:
First use distributive property to expand -10(n-2)
-5n-20=-20-10n+20
Simplify
-5n-20=-10n
Combine Like Terms
-20=-5n
Divide both sides by -5 to isolate "n"
n=4
Answer:
UV=29
Step-by-step explanation:
In right triangles AQB and AVB,
∠AQB = ∠AVB ...(i) {Right angles}
∠QBA = ∠VBA ...(ii) {Given that they are equal}
We know that sum of all three angles in a triangle is equal to 180 degree. So wee can write sum equation for each triangle
∠AQB+∠QBA+∠BAQ=180 ...(iii)
∠AVB+∠VBA+∠BAV=180 ...(iv)
using (iii) and (iv)
∠AQB+∠QBA+∠BAQ=∠AVB+∠VBA+∠BAV
∠AVB+∠VBA+∠BAQ=∠AVB+∠VBA+∠BAV (using (i) and (ii))
∠BAQ=∠BAV...(v)
Now consider triangles AQB and AVB;
∠BAQ=∠BAV {from (v)}
∠QBA = ∠VBA {from (ii)}
AB=AB {common side}
So using ASA, triangles AQB and AVB are congruent.
We know that corresponding sides of congruent triangles are equal.
Hence
AQ=AV
5x+9=7x+1
9-1=7x-5x
8=2x
divide both sides by 2
4=x
Now plug value of x=4 into UV=7x+1
UV=7*4+1=28+1=29
<u>Hence UV=29 is final answer.</u>