what does this mean when a rhombus is split into 2 triangles ; what's the formula to find the value of x? also it's about polygons

Answer/Step-by-step explanation:

The rhombus when split into two triangles will give us two equilateral triangles that are congruent to each other.

Therefore:

The two bases of both triangles will have equal angle measures of 4x + 5 each and a third angle measure of 8x - 6.

✅Formula to find the value of x:

(8x - 6) + 2(4x + 5) = 180° (sum of triangle)

8x - 6 + 8x + 10 = 180

8x + 8x - 6 + 10 = 180

16x + 4 = 180

16x + 4 - 4 = 180 - 4

16x = 176

16x/16 = 176/16

x = 11

15% chance.

step-by-step explanation:

3/10 times, the 5 year old will get a tablet. 5/10 times, the 13 yer old will get a tablet. multiply both fractions to get 15/100 times, both would have a tablet.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752