Answer:
Measure of arc AE = 58°
Step-by-step explanation:
As shown: ABCD is a quadrilateral, ∠C = 119°
So, ∠C + ∠A = 180°
∴ ∠A = 180° - ∠C = 180° - 119° = 61°
ΔAGB is a right triangle at G
So, ∠A + ∠B = 90°
∴ ∠ABG = 90 - ∠A = 90 - 61 = 29°
Arc AE opposite to the angle ∠ABG
So, measure of arc AE = 2∠ABG = 2 * 29° = 58°
Answer:
AC = 24ft
Step by Step Explanation.
Given.
Rhombus.
BD = 24ft
AD = 15ft
Required
Length of AC
A rhombus has 4 equal sides; hence, the given shape will be regarded as a parallelogram and not rhombus (see attachment for diagram)
The opposite sides of a parallelogram are always of equal length
From the attached diagram (not drawn to scale), side AC opposites side BD
Given that BD = 24ft, then
AC = BD = 24ft.
Hence, AC = 24ft
<h2><em>ts = 4x - 7
</em></h2><h2><em>
</em></h2><h2><em>sv = 5x - 15
</em></h2><h2><em>
</em></h2><h2><em>If s is the midpoint of ts and sv, then ts = sv, so
</em></h2><h2><em>
</em></h2><h2><em>4x - 7 = 5x - 15
</em></h2><h2><em>
</em></h2><h2><em>5x - 4x = 15 - 7
</em></h2><h2><em>
</em></h2><h2><em>x = 8
</em></h2><h2><em>
</em></h2><h2><u><em>Not 100% sure </em></u></h2>
We first need to substitute in the value of b, which is 7.

The final result is,
B) -122.