1. Angles ADC and CDB are supplementary, thus
m∠ADC+m∠CDB=180°.
Since m∠ADC=115°, you have that m∠CDB=180°-115°=65°.
2. Triangle BCD is isosceles triangle, because it has two congruent sides CB and CD. The base of this triangle is segment BD. Angles that are adjacent to the base of isosceles triangle are congruent, then
m∠CDB=m∠CBD=65°.
The sum of the measures of interior angles of triangle is 180°, therefore,
m∠CDB+m∠CBD+m∠BCD=180° and
m∠BCD=180°-65°-65°=50°.
3. Triangle ABC is isosceles, with base BC. Then
m∠ABC=m∠ACB.
From the previous you have that m∠ABC=65° (angle ABC is exactly angle CBD). So
m∠ACB=65°.
4. Angles BCD and DCA together form angle ACB. This gives you
m∠ACB=m∠ACD+m∠BCD,
m∠ACD=65°-50°=15°.
Answer: 15°.
<span>What is 2.085 * 10^6 in standard form??
= 2,085,000</span>
Answer:
(-7)∧-1
Step-by-step explanation:
(-7)^3 / (-7)^4
taking each and simplifing it
-7³ = -7 x -7 x -7
(-7)∧4 = -7 x -7 x -7 x -7
(-7)^3 / (-7)^4 = (-7 x -7 x -7 ) / ( -7 x -7 x -7 x -7) = 1/-7
1/-7 ( 1/ means raise to power -1)
1/-7 = (-7)∧-1
Ooo.
Fun.
So the equation: y = 1/4x = 3 is in slope-intercept form where, y = mx + b.
'm' is the slope and 'b' is the y-intercept.
Knowing this, we can easily conclude that Choice A is the correct answer.
Why?
Well, just look below.
y=1/4x + 3
y = mx + b
We simply match up the values with the slope-intercept formula and see that 3 falls under the y-intercept category, and m, which always equals slope is replaced by 1/4.
Thus, A is the correct choice.
Hello there! Given Dave only has $15 and the book is $8, we can assume he already paid for the book:
$15 - $8 = $7
Because Dave has $7 left, we can use the following inequality to show that he can spend up to $7 at maximum on both cards:
c = $7
Given Dave buys 2 cards, we can divide 7 by 2 to find how much Dave spends on each card:
7 divided by 2 gives us 3.50
Hence, Dave can spend $3.50 on each card.
Hope this helps!
