Solution :
Given :
ABCD is a quadrilateral.
Angle ADC = 90 degree
Angle DCB = 120 degree
Now angle DAB = 70 degree (alternate angles)
We know that the interior angles of a quadrilateral is 360 degrees.
So,
∠ DAB + ∠ ABC + ∠ BCD + ∠ CDA = 360°
70° + ∠ ABC + 120° + 90 ° = 360°
∠ ABC = 360° - (70° + 120° + 90°)
∠ ABC = 360° - 280°
∠ ABC = 80°
Now ∠ x = 180° - ∠ ABC (Line AB extended is 180° )
= 180° - 80°
= 100°
Hence proved.
Answer:
The single equation is 
Step-by-step explanation:
We are given the following system of equations:
From the first equation:
Replacing in the second equation:
The single equation is
She started with 60 pennies
<h3>Ratios and propotions</h3>
Let the number of a bunch of pennies she has to be "x"
If she gives 1/3 of her pennies to her older brother, she will have 2/3 x remaining
If she gives 2/5 of her remaining pennies to her younger sister, she will have 2/3x- (2/5 of 2/3x) = x remainijg
If Sally has 24 pennies remaining, then;
2/3x - 4/15x = 24
10x-4x/15 = 24
6x/15 = 24
6x = 15 * 24
x = 60
This means that she started with 60 pennies
Learn more on ratios here:
brainly.com/question/2914376
Hey there!
<span>At
Haines Elementary, 30% of the 120 teachers were male. The following
school year, several new teachers were hired. The number of female
teachers remained the same, but the number of males increased to 40%.
How many new male teachers were hired?
Answer: 21 male teachers were hired
Hope this helps
Have a great day (:
</span>
The numerator represents the chance of landing on the colour, and the denominator represents the number of spots you could land on. You have a 2 out of 7 chance to land on blue because there are 2 blue spots. This means that for every 2 times out of 7 spins you would land on blue.
