Answer:
m∠DEC = 78°
Step-by-step explanation:
Given information: AC = AD, AB⊥BD, m∠DAC = 44° and CE bisects ∠ACD.
If two sides of a triangles are congruent then the opposite angles of congruent sides are congruent.
AC = AD (Given)
According to the angle sum property, the sum of interior angles of a triangle is 180°.
Divide both sides by 2.
CE bisects ∠ACD.
Use angle sum property in triangle CDE,
Subtract 102 from both sides.
Therefore, the measure of angle DEC is 78°.
<u><em>Answer:</em></u>
168
<u><em>Explanation:</em></u>
<u>Before we begin, remember the following:</u>
+ve * +ve = +ve -ve * -ve = +ve
+ve * -ve = -ve -ve * +ve = +ve
<u>Now, for the given problem we have:</u>
(-4) * (6) * (-7)
<u>Let's take the first two terms:</u>
(-4) * (6)
Based on the above rules, the product will be negative
<u>Therefore, </u>
(-4) * (6) = -24
<u>Now, the expression became:</u>
(-24) * (-7)
Again, based on the above rule, the product here will be positive
<u>Therefore,</u>
(-24) * (-7) = 168
Hope this helps :)
Answer:
f(x) = sin(x)
Step-by-step explanation:
This is the correct answer.
Answer:
- 3) y = (7/2)x -12
- 4) y = 3x -5
- 7) y = (1/3)x +4/3
- 8) y = (-4/3)x +8/3
Step-by-step explanation:
In every case, you can ...
- replace any constant in the equation by 0
- for point (h, k), replace x with (x-h) and y with (y-k), then simplify
- solve for y (add the opposite of the y-term; divide by the y-coefficient)
3) -7(x-4) +2(y-2) = 0 ⇒ -7x +2y +24 = 0
... y = (7/2)x -12
4) (y+2) = 3(x-1)
... y = 3x -5
7) -(x+4) +3(y-0) = 0 ⇒ -x +3y -4 = 0
... y = (1/3)x +4/3
8) 4(x-2) +3(y -0) = 0 ⇒ 4x +3y -8 = 0
... y = (-4/3)x +8/3
Answer:
1.49 hrs or 1 hr and 30 minutes approximately
Step-by-step explanation:
if fran go 2.8m up then the river flow at a rate of 0.8m; the since we are taking the speed of fran and river to be constant. the ratio between their speed will always remain constant. that is if 0.8/2.8 = 0.286≈ this will be always constant.
so if he go up 4m then the horizontal length has to be 1.143 because 1.143/4 = 0.286.
now we find the distance between frans initial positon and final position. to find it we use pythagoras theorem.
to find the time divide distance traveled by speed;
4.160/2.8 = 1.49 hrs