Answer:
I think it might be 14.28.
Step-by-step explanation:
I used a triangle calculator "cossincalc.com"
<em>Two </em>or <u>more</u> triangles are said to be congruent if and only if they have <u>equal</u> lengths of <em>sides</em> and <u>equal</u> measures of <em>angles</em>.
Thus, the required <u>proof</u> is as shown below:
<u>STATEMENTS </u> <u>REASONS</u>
1. ΔABC and ΔDEC with AB ≅ DE;
BC ≅ EC; <1 ≅ <2 Given
2. <1 and < ABC; < 2 and <DEC are sup <u>Sum</u> of angles on a <em>straight </em>line
3. <ABC ≅ <DEC <em>Congruent</em> angles of <u>similar</u> triangles
4. ∴ΔABC ≅ ΔDEC <em>Side-Angle-Side</em> (SAS) postulate
5. ∴<ACB ≅ <DCE CPCTC postulate
For more clarifications on the properties of congruent triangles, visit: brainly.com/question/1675117
#SPJ1
Step-by-step explanation:
this is your answer. it think it will help you
Problem 3
<h3>Answer: 1/5 of a gallon per minute</h3>
-------------------------
Explanation:
Two points from the graph are (10,2) and (20,4)
Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (4-2)/(20-10)
m = 2/10
m = 1/5
The slope of the graph is 1/5.
Do the same for two points from the table. I'll use the first two rows
m = (y2-y1)/(x2-x1)
m = (4-2)/(10-5)
m = 2/5
The slope of the table is 2/5.
Subtract the two slopes to wrap things up:
2/5 - 1/5 = (2-1)/5 = 1/5
=====================================================
Problem 5
<h3>Answer:
23 degrees</h3>
------------------------
Explanation:
Angles 1 and 3 are same side exterior angles, so they are supplementary due to the parallel lines set up here.
(angle1)+(angle3) = 180
(157) + (angle3) = 180
angle3 = 180-157
angle3 = 23 degrees
