Answer:
Rate( family drink juice) = 0.1142 gallon juice per day
Step-by-step explanation:
Given:
Amount of juice drank by family = 4 gallon
Time taken by family = 5 week
Find:
Rate( family drink juice)
Computation:
Time taken by family (In days) = 5 x 7 days
Time taken by family (In days) = 35 days
Rate( family drink juice) = Amount of juice drank by family / Time taken by family (In days)
Rate( family drink juice) = 4 / 35
Rate( family drink juice) = 0.1142 gallon juice per day
Answer:
Step-by-step explanation:
When the circle is fill in it means theres more than one answer so it can be greater than or equal to or less than or equal to. When theres only a circle is means greater then or less than
I hope this helps you to get the right answers.
<span>By by pythagorean theorem
12 (squared) + r (</span>squared) = (8+r) squared<span>
so 144 + r ( </span>squared) = 64 + r (squared)<span> +16r
so solving for r:
144 -64 = r </span>squared –r squared<span> + 16r
80 = 16r
so r = 80/16= 5
the second is the same
21 </span>squared + r squared = (9 + r ) squared<span>
441 + r </span>squared = 81 + r squared<span> + 18r
441 – 81 = r </span>squared – r <span>squared</span><span> + 18r
r = 360/18 = 20</span>
9 and 7 will do that job for you.
9 x 7 = 63
and
9 + 7 = 16
and
9 - 7 = 2 .
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°
