Answer:
Part 1) The measure of angle PSL is 45°
Part 2) The measure of angle XYZ is 70°
Part 3) The measure of angle HJZ is 100°
Part 4) The measure of angle PHL is 120°
Part 5) The measure of angle WXZ is 140°
Part 6) The measure of angle UTG is 62°
Step-by-step explanation:
Part 1) Find the measure of angle PSL
we know that
∠PSL+∠LSM=90° -----> by complementary angles
we have
∠LSM=45°
substitute
∠PSL+45°=90°
∠PSL=45°
Part 2) Find the measure of angle XYZ
we know that
∠WYX+∠XYZ=180° -----> by supplementary angles
we have
∠WYX=110°
substitute
110°+∠XYZ=180°
∠XYZ=70°
Part 3) Find the measure of angle HJZ
we know that
∠HJZ=∠HJK+∠KJZ
we have
∠HJK=20°
∠KJZ=80°
substitute
∠HJZ=20°+80°=100°
Part 4) Find the measure of angle PHL
we know that
∠PHL=∠PHS+∠SHL
we have
∠PHS=46°
∠SHL=74°
substitute
∠PHL=46°+74°=120°
Part 5) Find the measure of angle WXZ
we know that
∠WXZ=∠WXY+∠YXZ
we have
∠WXY=15°
∠YXZ=125°
substitute
∠WXZ=15°+125°=140°
Part 6) Find the measure of angle UTG
we know that
∠UTG=∠ATG-∠ATU
we have
∠ATG=120°
∠ATU=58°
substitute
∠UTG=120°-58°=62°
Step-by-step explanation:
according to BODMAS
5×5^2÷5-6
5^2=25
5×25÷5-6
5×5-6
25-6=19
Answer:
40 cm
Step-by-step explanation:
10x4= 40
Learn this :
VUX -- vertical line, undefined slope, represented by x = a number
HOY -- horizontal line, 0 slope, represented by y = a number
ok....so u need the equation for a vertical line passing thru (-5,-1)...
a vertical line is represented by x = a number.....and that number will be the x value of ur points.
Therefore, ur equation is : x = -5 <==
**just so u know, if u were needing a horizontal line going thru the same points, ...and a horizontal line is represented by y = a number...with the number being the y value of ur points....the equation would be y = -1
You would have 2/3 left so 2/3 ÷ 6 and that would turn into 2/3 × 6/1 and that would turn into 2/3 × 1/6 which would equal 2/18 which would simplify 1/9