Answer:
Yes
Step-by-step explanation:
ΔMNL ≅ ΔQNL by ASA or AAS
by ASA
Proof:
∠ LNM = ∠LNQ =90
LN = LN {Common}
∠MLN = ∠QLN {LN bisects ∠ L}
By AAS
∠Q + ∠QLN + ∠LNQ = 180 {Angle sum property of triangle}
∠Q + 32 + 90 = 180
∠Q + 122 = 180
∠Q = 180 -122 =
∠Q = 58
∠Q = ∠M
∠MNL =∠QNL = 90
LN = LN {common side}
The expressions that represent number of tiles that Devon used on her mosaic:
A. 20 + 2t + 2c
D. 20 + t + t + c + c
<h3>What is an expression?</h3>
An expression refers to a mathematical equation which shows the relationship between two or more numerical quantities or variables.
For the expressions that represent number of tiles that Devon used on her mosaic:
- Let the triangle tiles be t.
- Let the circle tiles be c.
- Two rows of t triangle tiles = t + t = 2t.
- Two rows of c circle tiles = c + c = 2t.
Mathematically, the expression is given by:
Total tiles = 20 + t + t + c + c
Total tiles = 20 + 2t + 2c.
Read more on expressions here: brainly.com/question/12189823
#SPJ1
Complete Question:
Devon made a mosaic in art class with different-shaped tiles. She started by putting 2 rows of t triangle tiles at the top of the mosaic and 2 rows of c circle tiles at the bottom. She finished by putting 20 square tiles in between the triangle and circle tiles.
Pick all the expressions that represent how many tiles Devon used on her mosaic.
A. 20 + 2t + 2c
B. 20 + 4 ( t + c )
C. 2 ( 20 + t + c )
D. 20 + t + t + c + c
If R is the midpoint of PS, then PR = RS -- (1)
Also, PR + RS = PS -- (2)
__________________
PR + RS = PS
7x + 23 + 13x - 19 = PS
__________________
Now, PR = PS
7x + 23 = 13x - 19
7x - 13x = -19 - 23
-6x = -42
x = -42/-6
x = 7
__________________
PS = 7x + 23 + 13x - 19
PS = 7(7) + 23 + 13(7) - 19
PS = 49 + 23 + 91 - 19
<u>PS </u><u>=</u><u> </u><u>1</u><u>4</u><u>4</u><u> </u>
Hope it helps!
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
Note: 1 inch = 2.54 cm is an exact converion, while 1 mile=1.6km is only approximate.
Using conversion
1 inch=2.54 cm
1 mile = 1760*3*12 = 63360 in = 160934.4 cm
If 1 inch = 1 mile, then
2.54 cm : 1 mile = 1.609344 km
1 cm : 0.6336 km (exactly), or
1 cm : 0.6 km (approximately)
Using both conversions:
1 inch = 2.54 cm : 1 mile = 1.6 km
=>
2.54 cm : 1.6 km
1 cm : 1.6/2.54=0.6299 km (approximately), or
1 cm : 0.6 km (approximately)
Answer:
5.5p + 5 ≤ 60
10 pounds
Step-by-step explanation:
a) The maximum total cost he can spend is $60.
5.5 * p + 2 * 2.5 ≤ 60
Simplify.
5.5p + 5 ≤ 60
b) Solve 5.5p + 5 ≤ 60
Subtract 5 from both sides
5.5p ≤ 55
Divide both sides by 5.5
p ≤ 10
So, the maximum he can buy is 10 pounds of food
