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shtirl [24]
3 years ago
11

In the figure drawn below, two lines are intersecting each other. What is the measure, in degrees, of all the angles adjacent to

or opposite of angle A?
Enter your answers in the following sequence: B, C, D

Mathematics
1 answer:
Roman55 [17]3 years ago
8 0

Answer:

\angle B =155^{\circ} , \angle D =25^{\circ} and \angle D=155^{\circ}

Step-by-step explanation:

\angle A = 25^{\circ}

Vertically opposite angles : the angles opposite each other when two lines interest

So, ∠A is vertically opposite to ∠C

\angle A = \angle C (Vertically opposite angles are equal)

So, \angle C = 25^{\circ}

\angle A+\angle B = 180^{\circ}(\text{Linear pair})\\25^{\circ}+\angle B = 180^{\circ}\\\angle B = 180^{\circ}-25^{\circ}\\\angle B =155^{\circ}

∠B is vertically opposite to ∠D

So,\angle B = \angle D (Vertically opposite angles are equal)

So,\angle D = 155^{\circ}

Hence \angle B =155^{\circ} , \angle D =25^{\circ} and \angle D=155^{\circ}

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A tree with a height of 4 ft casts a shadow 15ft long on the ground how tall is another tree that cast a shadow which is 20ft lo
wariber [46]

Height of another tree that cast a shadow which is 20ft long is 5 feet approximately

<h3><u>Solution:</u></h3>

Given that tree with a height of 4 ft casts a shadow 15ft long on the ground

Another tree that cast a shadow which is 20ft long

<em><u>To find: height of another tree</u></em>

We can solve this by setting up a ratio comparing the height of the tree to the height of the another tree and shadow of the tree to the shadow of the another tree

\frac{\text {height of tree}}{\text {length of shadow}}

Let us assume,

Height of tree = H_t = 4 feet

Length of shadow of tree = L_t = 15 feet

Height of another tree = H_a

Length of shadow of another tree = L_a = 20 feet

Set up a proportion comparing the height of each object to the length of the shadow,

\frac{\text {height of tree}}{\text {length of shadow of tree}}=\frac{\text { height of another tree }}{\text { length of shadow of another tree }}

\frac{H_{t}}{L_{t}}=\frac{H_{a}}{L_{a}}

Substituting the values we get,

\frac{4}{15} = \frac{H_a}{20}\\\\H_a = \frac{4}{15} \times 20\\\\H_a = 5.33

So the height of another tree is 5 feet approximately

8 0
2 years ago
Please help me! Two quantities are related, as shown in the table:
Fynjy0 [20]
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3 years ago
Serina paid $194.99 for a game system and then bought 2 equally priced games if she spent a total of $284.97 what is the price,
arsen [322]
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Let P be a point outside the circle such that triangle LMP has legs coincident with chords MW and LK (i.e. M, W, and P are colinear, and L, K, and P are colinear). By the intersecting secants theorem,

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m\angle MLK+m\angle LPM+m\angle LMP=180^\circ

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