Since they are similar triangles, they are just enlarged versions of each other. This means that the left-most angle of triangle XYZ is also 35°.
Angles in a triangle add up to 180°, so we can find the missing angle by subtracting the two known angles from 180.
180 - 70 - 35 = 75
The right-most angle of triangle XYZ would be 75°.
Hope this helps!
Answer:
<h2>
perimeter of △SMP = 25</h2>
Step-by-step explanation:
The perimeter of the triangle △SMP is the sum of al the sides of the triangle.
Perimeter of △SMP = ||MS|| + ||MP|| + ||SP||
Note that the triangle △LRN, △LSM, △MPN and △SRP are all scalene triangles showing that their sides are different.
Given LM=9, NR=16 and SR=8
NR = NP+PR
Since NP = PR
NR = NP+NP
NR =2NP
NP = NR/2 = 16/2
NP = 8
From △LSM, NP = PR = <u>MS</u><u> = 8</u>
Also since LM = MN, MN = 9
From △SRP, SR = RP = <u>PS = 9</u>
Also SR =<u> MP = 8</u>
From the equation above, perimeter of △SMP = ||MS|| + ||MP|| + ||SP||
perimeter of △SMP = 8+8+9
perimeter of △SMP = 25
The answer would be Acute angles
Answer: The discounted price is $948. The value of the discount itself is $632.
Step-by-step explanation:
<h3>To calculate discounts, you multiply the percentage of the discount as a decimal with the price of the product.
In this particular case:
0.40 [percentage of discount] x $1580 [original cost] = $632 (the amount of the discount) </h3><h3>$1580 - $632 = $698 [new price after discount is applied]</h3>
