Answer:
Step-by-step explanation:
=
=
\;\; 
\;\;w = 10 \text{ cm}, \;\; ![]\frac{\text{d}w}{\dt} = 3 \text{ cm/s}](https://tex.z-dn.net/?f=%5D%5Cfrac%7B%5Ctext%7Bd%7Dw%7D%7B%5Cdt%7D%20%3D%203%20%5Ctext%7B%20cm%2Fs%7D)
<h2>
Answer:</h2><h2>x=37.5° and angle ABC is 52.5°</h2><h2>
Step-by-step explanation:</h2>
We know that angle CBD is a right angle.
We also know that angle ABE is 180°.
Our unknown angle values are angle DBE and angle CBA.
angle CBD minus angle ABE will be 90°.
angle ABC plus angle DBE must equal 90°.
Solving for x:
(x+15)+(x)=90°
(x+15-15)+(x)=90°-15
(x)+(x)=75°
2x=75°
2x/2=75°/2
x=37.5°
Checking the work:
ABC=37.5°+15=52.5°
CBD=90°
DBE=37.5°
In conclusion, ABC plus CBD plus DBE equals 180°
<em>Hope this helped!</em>
Answer:
m∠ D = 110°.
Justification is below.
Step-by-step explanation:
Consider quadrilateral CDEF as a parallelogram,
Opposite sides of a parallelogram are parallel
∴ DE || CF
If two lines are parallel then the interior angles SUM is 180°
Angle C and Angle D are interior angles.
∴ m ∠C + m∠ D = 180°
Here
m ∠C = 70° {Given}
on substituting the above value we get
∴ 70 + m∠ D = 180°
∴ m∠ D = 180 - 70
∴ m∠ D = 110°
∴ m∠ D = 110° which is the required answer.
Answer:
192
Step-by-step explanation:
Given,
a = 8
b = 24
To find : ab = ?
ab
= 8 x 24
= 192
