Answer:
= k
Step-by-step explanation:
Ok so the value of x is 6 those lines on the 6 and x lines means that they are congruent. Then to figure out y you would use Pythagorean theorem 6^2+6^2
36+36=72
Square root 72 is about 8.5
8.5 would be y. Let me know if this is right and if this helps
Factor out a GCF of 4, then you are left with perfect squares.
4(100-9x^2)
Factor what is left as a difference of perfect squares (the outside and inside terms from FOIL should cancel out which is why each parenthesis has a different sign
f(10+3x)(10-3x)
Answer:
1)m<ABH=121°
2)m<GDF=59°
3)X=35
4)m<ABC=59°
5)m<EDA=59°
Step-by-step explanation:
1. You want to find X, so since the two expressions are Alternate Interoir Angles they equal each other
5x-54=3x+16
5x-3x-54=3x-3x+16
2x-54=16
2x-54+54=16+54
2x=70
2x/2=70/2
X=35
2. Now plug in X to each equation to test if it works
5(35)-54=3(35)+16
175-54=105+16
121=121
3. Now replace the two expressions with 121
4. Let's begin with <ABH. Since <ABH is verticle to 3x+16 they equal each other.
5. <GDF is right next to 5x-54 and they're on the same line meaning they equal 180°. So 180-121=59, this is also the reasoning with <EDA with 5x-54 and <ABC with 3x+16
NOTE: THIS ONLY IS TRUE IF LINE HC AND LINE GE ARE PARALLEL.
T= trumpets
S= saxophones
T= s-10
S= 3t
Solve for t first in first equation by substituting the second equation into the first equation like this .
T=3t-10
T-3t=10
-2t=10
T=10/-2
T=5
Now substitute your t answer to second equation to find s .
S=3(5)
S=15
So you have 5 trumpets and 15 saxophones .
I hope this helps
