Answer:
7ft/1yd ⋅1yd/3ft
Step-by-step explanation:
To use unit analysis to convert 7 feet to yards
Using unit analysis
1 yard = 3 feet
Hence
3 feet = 1 yard
7 feet = x yard
Cross Multiply
3 feet × x yard = 7 feet × 1 yard
We can represent this as
7 feet/1 yard × 1 yard/3 feet
The correct Option is :
7ft/1yd ⋅1yd/3ft
I will do #4.
First divide by 5.
6x^2 + 7x + 3.
When trying to factor this, I've come to realize that it is unfactorable.
The answer to 6 x (-8) = -48
<u>It is -48 because anytime you multiply one negative to one positive it will be negative if you multiply two negative's it come out to be a positive </u>
Hope this helps
Have a wonderful day
Answer:

Step-by-step explanation:
We want to find angle DEB. We know AB is perpendicular to AC, CD is congruent to CE and angle B is 48 degrees.
ABC is a triangle. The angles in a triangle must add up to 180 degrees. Therefore:
We know two angles: ∠B= 48° and ∠A= 90° (the little square denotes a right angle).
- 90°+48°+ ∠C= 180° <em>Substitute values in.</em>
- 138°+ ∠C =180° <em>Add</em>
- 138°-138° ∠C= 180°-138° <em>Subtract 138 from both sides.</em>
- ∠C= 42°
Note that angle C is part of another triangle. It is isosceles because the two legs (CD and CE) are congruent. Therefore, the two base angles (E and D) are congruent.
- ∠C+∠D+∠E= 180°
- ∠C+ 2∠D= 180° <em>Angles D and E are congruent</em>
- 42°+ 2∠D= 180° <em>Substitute 42 in for angle C</em>
- 42°-42° +2∠D= 180°-42° <em>Subtract 42 from both sides.</em>
- 2∠D= 138°
- 2∠D/2= 138°/2 <em>Divide both sides by 2.</em>
- ∠D= 69°
∠D and ∠E equal 69 degrees.
Angle CED (∠E) and DEB are on a straight line together. Therefore, they are supplementary and equal 180 degrees.
- ∠CED+ ∠DEB= 180
- 69° +∠DEB= 180° <em>Substitute 69 for angle CED</em>
- 69°-69° +∠DEB= 180°-69° <em>Subtract 69 from both sides</em>
- ∠DEB=111°
Angle DEB is equal to <u>111 degrees</u>