The figure shows a rhombus ABCD. The diagonal DB is produced to E such that BC = BE and CDE = 46°.
1 answer:
Answer:
(i) 88°
(ii) 23°
Step-by-step explanation:
See the picture below.
The numbers added in red are the angle measures. The numbers added in black are the order in which each angle measure was written.
ABCD is a rhombus, so all sides are congruent.
Triangle BCD is isosceles with sides DC and BC congruent, so <DBC is congruent to <BDC. From the sum of the measures of the angles of a triangle, we get m<DCB. Opposite angles of a rhombus are congruent, so m<A = m<DCB. From the sum of the measures of the angles of a triangle and from isosceles triangle ADB we get m<ADB and m<ABD. From m<DBC and supplementary angles, we get m<CBE. From isosceles triangle BCE, we get m<BCE.
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Answer:
The slope of the equation is -3.
Step-by-step explanation:
Given : Mr. Mole's burrow lies 5 meters below the ground. He started digging his way deeper into the ground, descending 3 meters each minute.
To find : What is the slope ?
Solution :
Let x be the number of minutes taken to dig the ground.
He started digging his way deeper into the ground, descending 3 meters each minute i.e. '-3x'
Let y is the total distance travel to dig the ground.
Mr. Mole's burrow lies 5 meters below the ground.
The equation form is
Comparing with general slope form i.e. where m is the slope.
The slope of the equation is -3.