Answer:
m∠P = 82°
m∠Q = 49°
m∠R = 49°
Step-by-step explanation:
<em>In the isosceles triangle, the base angles are equal in measures</em>
In Δ PQR
∵ PQ = PR
∴ Δ PQR is an isosceles triangle
∵ ∠Q and ∠R are the base angles
→ By using the fact above
∴ m∠Q = m∠R
∵ m∠Q = (3x + 25)°
∵ m∠R = (2x + 33)°
→ Equate them
∴ 3x + 25 = 2x + 33
→ Subtract 2x from both sides
∵ 3x - 2x + 25 = 2x - 2x + 33
∴ x + 25 = 33
→ Subtract 25 from both sides
∵ x + 25 - 25 = 33 - 25
∴ x = 8
→ Substitute the value of x in the measures of angles Q and R
∵ m∠Q = 3(8) + 25 = 24 + 25
∴ m∠Q = 49°
∵ m∠R = 2(8) + 33 = 16 + 33
∴ m∠R = 49°
∵ The sum of the measures of the interior angles of a Δ is 180°
∴ m∠P + m∠Q + m∠R = 180°
→ Substitute the measures of angles Q and R
∵ m∠P + 49 + 49 = 180
∴ m∠P + 98 = 180
→ Subtract 98 from both sides
∵ m∠P + 98 - 98 = 180 - 98
∴ m∠P = 82°
Answer:
6
Step-by-step explanation:
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Answer:
The number of cards Paul had at the beginning was 64 cards
Step-by-step explanation:
Here we have a word problem as follows
Paul traded 13 baseball card to Dan for 4 new packs of 6 card each
Number of cards received from Dan = 6 × 4 = 24
Number of cards traded to Dan = 13
Net number of cards traded = 24 - 13 = 11
Total number of cards Paul now has = 75 cards
Therefore since Paul gained 11 cards to make his total number of cards = 75, then;
The initial amount of cards Paul had = 75 - 11 = 64 cards.
<u>Answer:</u>
Value of cosθ is ±√7/3 .
<u>Step-by-step explanation:</u>
According to the Question , value of :
And , we know the identity of sine and cosine as ,
<u>Using</u><u> </u><u>,</u><u> </u><u>this</u><u> </u><u>ident</u><u>ity</u><u> </u><u>we</u><u> </u><u>have</u><u> </u><u>;</u><u> </u>
Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :
Answer:
xy miles
Step-by-step explanation:
