Spiral Practice Chapter 8.4-8.6 r. Find
qire
P85'Iis
i:'-y ,- Li, anrl LF -"1.t' + tt. Finr-|" thr-- ri:tlttr: r:f so tltitt
,tcf.)
2.
ralnr of .i sn that
.l' tr.,\,IFQ iS iscsr:clfls"
isosceles,
P
Ixr+ tq - \11 13 2t J4
- ci.{
lr1-6= 4y+tl
M
ffi 3v=11
2.
It = x* 3.
In kire
lirrtl
ttre vultre ul": su thirt trFGH is isosrr..lrs.
|
-L
),2 = /+Z rj.o
rnl.ltl{}":
10"1" tQ
atrd nr./HfZ:49". Find each rlleasur€.
ro*
Nn*
4.,,,ff.-:rtffi|
{rz, + zo} r^
VlfXYZ,
5. rrr,{1-at+ffi 6. r,,ZffVZ.ffi 7. Firrtl +*a* {
1.
ie
-
rn
)* -- {o
.o
5\
w
ffi
ln ki{e,4BCf}, Hrl ftrlX = 32o, itncl nLd}TlC: &[o. Find earh nrea$ure.
8. rnl.Xi),{
tztlAB{
9.
)
rr.Algebra
:-
_
_
- - -l FirrtJ rlte ufilue nf rl sn th;rt ,{}Zilr is tStIs(;Hteh. {iive v{lrtr ansl1iFI'as a sitrt1tIifier-l r,ldicrll. {la+'!t * i*"1 --tS
8o o
L
rnlB{ ll}
10"
.t'
C
Z
Y
{?ar
X {*2
* 65}"'
W
+ tgJ'
=tGl
Find the rneasttre uf ear:lt ttutnlte 12.
13. "3go
16.
{4CI2
+
s}
{8
Itt
al=49 x= lt
1(ru)=
t
1
IOZ
L.ioz {-5{- [o
6o+=l/3
a=
l(
>
t8
(35)' o
Lz
z=3.tmwt
Algebra Find tlre lerrgtlt nf tlte rrt idsegrrrenl of each trapeznitl. 18.
@ cr+'
r;*3 n
/l
4n*).: tr
t
*n-1
3n-5 1fr - -)--^lr',-
+3
I u
?q,* lA
n= [l-b
ffii l1l{:ffs"r \*.*
:, r.
i
{
i-e
Zc. +fl a
+?.
: El -
rf ,rrisnf : .rr + r *fi;;l,rr,= @rornr* x'+9:2x*9Ll
Flar"q
:
Jc -"1 c-r{ t {a7 -'4r* +4}
*'-r^ -is= o'
4, find rnrs[.;'T,
tx,' ?8
r- L :*--n ??,-@ry]i ?r -r 4*1. find r.
.t:lt
3iri)
-?)Cx{-f} 4"1(z"l' ".'ff;fi' : ;r? - 1 and nr .' IIIS T 3"* -i 9, find r]r ,/ .nSLi. @ If rn ,'_.RS[ [r- ?xl1 [x-s]('(+d.) xt- = q:r3xi1[ *X=5 'Xe-?l -F*"rofr- xt- 3*- lD= o
23'
rl
'xc.
: iic
-'L
I I
B ancl rn /.E][.I^-q '3Yt | * 5Y* rr: tln
r
).."+X = XL
Or'n,* F-ncr.ok
ALGEBRA I?Sft.I is n rectangle.
20. If nr r s[,iT : l"r *
Z
?-.
r+r=w '
1
^2,,,-? c *J C+L+
: r+L
?t,r' *€,
(x
GHJKis a rectangle. Find €arh me*sirre
il?.
-b#
r(t< ].
--
3
=
fnz
if tttLl:
*34,:
rq< + ={Slffi fn< 5
=59
f\{.
a =ulD
r', <
-l
=tri$f
24. CONSTRUCTION A set of stairs leading to the entrance of a building is designed in the shape ofan isosceles trapezoid with the longer base at the bottom ofthe stairs and the shorter base at the top. Ifthe bottom ofthe stairs is 21 feet wide and the top is 14,
find the width of the stairs halfiruay to the top.
i4+el L
'f 'i*,#F
.+ez:ffi
LIse rhombus P&YZ with ffff : 4y + Pf{ : Ss - 1, antl }T{ : 1r * S.
25. Find
FY.
4..1+l =
\5
W \ w\
l'r' -\t| ?*
-3Y
2l.Find.RY" \^5=) 5x.-l= znz+ xl-=
cL
f;41=a!
t?
ffi
q_.
31. Find
26-
?y
-
z*tL 14,
Find.RZ.
j.*-\
@ Fi*d
m LYI{Z.
W
2x+6
ftr)t-6=@ *\ ": "'
{x-
|
: 3\€- PC : 4-t'- 1'.tnd
.lx-t--9x-o 5 = Ex
1(\)-L
:
l(s)r t =@
f{ with PQ
-C. 7q- -4ulf : g*. - 6. ' ,r. FindAo.
ZK
28.
{=1 '
4oof t1r{t--' -"=@
L,
30. find
9x-C qr r-,A-PQ.
W
r ;.x
rriMffF.
32. Find FM.
@
@
Using Rectangle ABCD whose diagonals intersect at E, find x and y. Each question is independent, which means the information does not carry from one problem to the next. B
33. ruZBCD=I8r:- 3y,
30r- G1= lgo t8t.t) - 3y=9o AB=x-2, CD=2t+14 - 3{ t t".J\= -t{tr -lt-3v j Qn
\B{-33=qo z(tg*-3y=lo)
x-z=zy+tr| -3(x-ry=,il
3a{ =i3t --x='t
I -3y=if,
D
-L 34. mzABD=3r-1, m/EDC=2v+6, m./ADB=4x+J, mIDBC=x+8 't-^- l= a(-!)+t 3x-l=z,1tG 4x+1--xr8 ?x-r,1=1 37-21'-1 T=
:*-e1=1 3r*1:-( -r(t*n1'=gi -;;-r: fl r,,-l=il^t -t ' L: iV' tY= BE=x+y, BD=3x-2y BD=3x-2y 35. 4C=18, AC=rl, BE=x,i!> .I nt.+l- ?y: rfr )t;-r5.rhi::+._ t: = *= =
ri
1--t: a** al = 18-
Gi"""?;JAf,s
1s
ABCD whose
+'_;_ =i,
o**.F",,
"
*ill'i"
.1
,i=
lii ir: ^f ,i , - :: E
.d
# /tt S j,#l f\
$\
E / gl.
BC = x2 +Jtx =>(zr3tx
ea:7:" +28, -7xz+afl , ^
Lt--ltx+r8:o
(r'x-"t)
nIBCA=Zv2 -L&w, m"/.DBA=3ar+63
eti-\tw+3wtLj-*9o (+vi3- (w_l =o aw'-1G.r-f,l :o aw'-1G*-f,l :o (A.rd:l)t*r-*Ll A I 6l g DB=r,,y-ts \\ ""-a-.il !' +3y, DB=r.,y-ts \tt BE = y2 3 \r, ""
e/ t
'i
Z
(y '+ 3y) = t-ty - It 1
1\:rbY = l']y-lf
, \P zyL*lly+t5=D
i---*'l-._
rV=9 j:1 (ty-syy- 3)=o '' I 3--
3*
* --
23
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