Answer:
Step-by-step explanation:
∠ADC = 90°
∠ADB + ∠BDC = 90
20 + ∠BDC = 90
∠BDC = 90 - 20 = 70
∠BDC = 70°
16) ∠PSR = ∠PSQ +∠QSR
= 60 + 10
= 70
18) ∠PSR = 130
∠PSQ + ∠QSR = 130
90+ ∠QSR = 130
∠QSR = 130 - 90
∠QSR = 40
19)∠ADC = ∠ADB + ∠BDC
= 120 +20
= 140
20) ∠PSR = 125
Answer: 114°
Step-by-step explanation:
<h2>Concept: </h2>
Here, we need to know the idea of the "Exterior Angle theorem".
<u>The exterior angle theorem</u> states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles of the triangle.
If you are still confused, then refer to the attachment below for a graphical explanation.
<h2>Solve:</h2>
Given
24 + (2x + 18) = 3x + 6
Put like terms together
24 + 18 + 2x = 3x + 6
Combine like terms
42 + 2x = 3x + 6
Subtract 6 on both sides
42 + 2x - 6 = 3x + 6 - 6
36 + 2x = 3x
Subtract 2x on both sides
36 + 2x - 2x = 3x - 2x
x = 36
Exterior angle = 3x + 6 = 3(36) + 6 = 114°
Hope this helps!! :)
Please let me know if you have any questions
Answer:
129792
Step-by-step explanation:
156
× 832
----------
312
468
+ 1248
---------------
129792
Answer:
Equation: 6f = 5
Result: 6/5 cup of flour is needed for each batch of bread
Step-by-step explanation:
Given
6 cups of flour makes 5 batches of bread
Required
His much flour is needed for each batch.
Let f represent a cup of flour.
The statement "total of 6 cups of flour to make 5 batches of bread." means that
f + f + f + f + f + f = 5 batches of bread
f * 6 = 5
6f = 5
The above equation will give the number of cup needed for 1 batch of bread.
To do that, we simply divide both sides by 5
6f/5 = 5/5
6f/5 = 1
Hence,
The equation is represented by: 6f = 5
And the result is: 6/5 cup of flour is needed for each batch of bread