Answer:
The first graph.
Step-by-step explanation:
Algebra Calculator.
. Angles A and B are supplementary. Angle A has a measure of 60°. What is the measure of angleB?The measure of angle B is °.A.15
1 answer:
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Since ∆AFB is similar to ∆ABC.
- < F = < B (corresponding angle)
- < G = < C (corresponding angle)
- < A = common.
<u>In </u><u>∆</u><u>A</u><u>BC,</u>
⇛< A + < B + < C = 180°
⇛37° + 65° + < C = 180°
⇛102° + < C = 180°
⇛< C = 78°
We know that, < AGF / < G = < C
So, Measure of angle < AGF = <u>7</u><u>8</u><u>°</u><u> </u><u>(</u><u>ans)</u>
The model in which the lateral surface meets the base at right angle is : Model 1.
<h3>What is a lateral surface?</h3>The lateral surface of an object is all surfaces of that object excluding its base and top.
Analysis:
To know the exact model, we check for the models in which their dimensions form a Pythagorean triplet otherwise a right-angled triangle.
For Pythagorean triplet, the square of the diagonal must be equal to the sum of squares of the other two sides.
Model 1
Diagonal = 50cm, radius = 14cm, lateral height = 48cm
=
+
2500 = 196 + 2304
2500 = 2500. Forms Pythagorean triplet
Model 2
Diagonal= 37cm, radius = 6cm lateral height = 35cm
=
+
1369 = 1225 +36
1369 1261
Model 3
Diagonal = 60cm, radius = 20cm lateral height = 40cm
=
+
3600 = 400 + 1600
3600 2000
Model 4
Diagonal = 30cm, radius = 24cm, lateral height = 9cm
=
+
900 = 576 + 81
900 657
Therefore the lateral surface model 1 meets the base at right angle
In conclusion, the lateral surface of model 1 meets the base at right angles as the dimensions form a right-angled triangle.
Learn more about Pythagorean triplet: brainly.com/question/20894813
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