9514 1404 393
Answer:
x = 15
Step-by-step explanation:
<u>Given</u>:
∠1 + ∠2 = 90°
∠1 = 45°
∠2 = 3x°
<u>Find</u>:
x
<u>Solution</u>:
Using the given values in the given equation, we have ...
45° +3x° = 90°
15 + x = 30 . . . . . . divide by 3°
x = 15 . . . . . . . . . . . subtract 15
Answer:
26 miles
Step-by-step explanation:
use pythagorean theorem to find that from post office to stevie's is 10 miles long( 6^2 + 8^2=100, and the square root of 100 is 10) then add the total distence together and get 8+8+10=26
9514 1404 393
Answer:
(12480 -3600)/48
Step-by-step explanation:
Assuming a 0% interest rate, the monthly payment will be 1/48 of the amount remaining after the down payment:
(12480 -3600)/48
_____
= 185
Answer:
<h3>
Acute Angles: ∠TLS, ∠SLT, ∠ULR</h3><h3>
Right Angles: ---------</h3><h3>
Obtuse Angles: ∠RLT, ∠SLU, ∠ULS,</h3><h3>
Straight Angles: ∠RLS, ∠TLU </h3><h3>
Not angles: ∠TRL </h3>
Step-by-step explanation:
The lines intersect at point L, so all angles have a vertex (middle letter) L so there is no angle TRL
Straight angle is a line with dot-vertex, so the straight angles are ∠RLS and ∠TLU.
∠TLS is less than 90° then it is acute angle (∠SLT is the same angle). ∠ULR is vertex angle to ∠TLS, so it's also acute angle.
Two angles adding to straight angle mean that they are both right angles or one is acute and the second is obtuse. ∠TLS is acute so ∠RLT is obtuse (they adding to ∠RLS) and ∠SLU is obtuse (they adding to ∠TLU). ∠ULS is the same angle as ∠SLU.
Answer:
Andre.
Step-by-step explanation:
Andre's group was asked to write an expression equivalent to 5p²q + 7pq² - 10.
Andre gives the expression 7p²q + 7pq² - 1 - 2p²q - 9, which gives the expression 5p²q + 7pq² - 10.
Jill gives the expression 5p²q + 2 pq² - 6 + 5pq² - 3, which does not give the expression 5p²q + 7pq² - 10.
Now, Anuj gives the expression 4p²q + 7pq²- 7 + 2p²q - 3, which also does not give the expression 5p²q + 7pq² - 10.
Again, Marsha gives the expression 5p²q + 5 pq²- 10 + 3pq², which also does not gives the expression 5p²q + 7pq² - 10.
Hence, only Andre gives the correct expression. (Answer)
