Answer:
The value of m8 is 97°
Step-by-step explanation:
Answer:
See proof below.
Step-by-step explanation:
Statements Reasons
1. Line AB is parallel to line CD 1. Given
2. <A is congruent to <ECD 2. If parallel lines are cut by a
transversal, then corresponding
angles are congruent.
3. <B is congruent to <EDC 3. If parallel lines are cut by a
transversal, then corresponding
angles are congruent.
4. Tri. AEB is congr. to tri. CED 4. If two angles of a triangle are
congruent to to angles of another
triangle, then the triangles are
similar.
Answer:
30° is the measuring of the third angle
also is a right triangle
hope it helps
Check the picture below.
let's firstly convert the mixed fractions to improper fractions and then subtract.
![\stackrel{mixed}{42\frac{1}{2}}\implies \cfrac{42\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{85}{2}} ~\hfill \stackrel{mixed}{67\frac{3}{7}}\implies \cfrac{67\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{472}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{472}{7}~~ - ~~\cfrac{85}{2}\implies \cfrac{(2)472~~ - ~~(7)85}{\underset{\textit{using this LCD}}{14}}\implies \cfrac{944~~ - ~~595}{14}\implies \cfrac{349}{14}\implies 24\frac{13}{14}](https://tex.z-dn.net/?f=%5Cstackrel%7Bmixed%7D%7B42%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B42%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B85%7D%7B2%7D%7D%20~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B67%5Cfrac%7B3%7D%7B7%7D%7D%5Cimplies%20%5Ccfrac%7B67%5Ccdot%207%2B3%7D%7B7%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B472%7D%7B7%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B472%7D%7B7%7D~~%20-%20~~%5Ccfrac%7B85%7D%7B2%7D%5Cimplies%20%5Ccfrac%7B%282%29472~~%20-%20~~%287%2985%7D%7B%5Cunderset%7B%5Ctextit%7Busing%20this%20LCD%7D%7D%7B14%7D%7D%5Cimplies%20%5Ccfrac%7B944~~%20-%20~~595%7D%7B14%7D%5Cimplies%20%5Ccfrac%7B349%7D%7B14%7D%5Cimplies%2024%5Cfrac%7B13%7D%7B14%7D)
Answer:
150ft
Step-by-step explanation:
it says it was dropped meaning it will go down in height till eventually hitting zero
we can verify this by plugging in 0 and then 1
h=-16(0)^2 + 150 h=150ft
h=-16(1)^2 +150 h=134ft
