Answer:
V≈363.17in³
Step-by-step explanation:
Answer:
∠DRM=45°
Step-by-step explanation:
Given: PRST is a parallelogram, m∠T:m∠R=1:3, RD ⊥ PS , RM ⊥ ST.
To find: m∠DRM
Solution: Since, PRST is a parallelogram and then let m∠T=x then m∠R=3x.
From the figure, we get that m∠T+m∠R=180°(Adjacent angles)
x+3x=180°
x=45°
Therefore, m∠T=45° and m∠R=135°.
Also, in parallelogram, opposite angles are equal, therefore m∠R=m∠S=135°.
Now, We know that sum of all the angles of the parallelogram =360°, then
From the quadrilateral DRMS,
∠DRM+∠RMS+∠MSD+∠SDR=360°
∠DRM+90°+135°+90°=360°
∠DRM=360°-315°
∠DRM=45°
Answer: Penny is closer
Step-by-step explanation:
1 mile is 1760 yards- so 2 miles is 3520 yards, so Penny is closer... which makes no sense since they live in the same building, but there you have it
Answer:
well the shape is acute so it will be quite low work out the opposite angles and you will find out that the lines are parallels there for meaning the answer is the lowest angle
Step-by-step explanation:
First, you have to think of two binomials that when multiplied together yields the polynomial x2 + 4x - 21. Question would be: what are the two number that when multiplied with each other equals -21 and when added together sums up to 4?
That would be +7 and -3. Because 7 × -3 = -21 and 7 + -3 = +4
Thus, the factor would be
(x + 7)(x - 3) = 0
By zero product property,
(x + 7) = 0 and (x-3)=0
x = -7 and x = 3
Notice that even if 7 has a negative sign, when substituted to the polynomial, you take its square so it would still be positive. Thus, the absolute value is taken.
Thus, the possible dimensions of the rectangle are 7 and 3 units.