You have two triangles, ADC and ABC.
Sides AD and AB are congruent.
Sides DC and BC are congruent.
Side AC is congruent to itself.
By SSS, triangles ADC and ABC are congruent.
Corresponding parts of congruent triangles are congruent.
That means that angles DAC and BAC are congruent.
Angles DCA and BCA are congruent.
Since m<DAC = 32, then m<BAC = 32
Since m<DCA = 41, then m<BCA = 41.
Now you know the measures of two angles of triangle ABC.
The measures of the interior angles of a triangle add to 180.
You can find the measure of angle B.
m<BAC + m<B + m<BCA = 180
32 + m<B + 41 = 180
m<B + 73 = 180
m<B = 107
Answer:
d. 55 feet /sec^2
Step-by-step explanation:
Average acceleration is ...
a = ∆v/∆t = (116 ft/s -6 ft/s)/(2 s)
= 110/2 ft/s^2 = 55 ft/s^2
Answer:
-6 3/8 < -7/8
Step-by-step explanation:
Answer:
-6 3/8 < -7/8
Showing Work
Using the given inputs:
-6 3/8 -7/8
Rewriting these inputs as improper fractions:
-51/8 and -7/8
Since we have like denominators we compare the inputs by the numerators:
Therefore, comparison shows:
-6 3/8 < -7/8
Answer:
$113.4
Step-by-step explanation:
If it is 40% off then it is 100-40 = 60% of original price.
So we do 180$ * .6 = $108 before tax.
To add on tax we do: 100 + 5 = 105% of that price.
So we do: $108 * 1.05 = $113.4 after discount and tax.
7/16 is almost half. One more piece of a sixteenth will equal half. So closest half would be 1/2
