M is the miles you can drive
The equation will be
The limo can travel at least 333 miles.
The equation will be
The limo can travel at least 333 miles.
Using the numbers 8,6,4, and 2 write and expression that equals 20
1 answer:
You might be interested in
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:
- ∠A+∠B+∠C= 180°
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>