Answer:
(B)c = StartFraction (3) sine (45 degrees) Over sine (40 degrees) EndFraction
Step-by-step explanation:
In Triangle ABC is shown.
95 degrees
45 degrees.
|AB|=c
|BC|=3.0 cm
Using the Law of Sines
The correct option is B.
Whenever <u>two</u> or <u>more</u> lines <em>intersect </em>at a point, an <em>angle</em> is usually produced. And some of these angles formed may have <u>common </u>properties, and thus be <em>congruent</em>.
The appropriate reasons for the given <u>statements</u> in the question are given below:
STATEMENT REASON
1. <1 ≅ <2 <u>Vertical</u> <em>Angle</em> theorem
2. <1 and <2 are complementary
<2 and <3 are complementary <em>Congruent Complements</em> Theorem
3. <1 and <2 are supplementary
<2 and <3 are supplementary <u>Congruent</u> Supplements
4. <1 and <2 are right angles All<em> Right Angles</em> are Congruent
5. <1 ≅ <2,
<1 and <2 are supplementary If two angles are <u>congruent</u> and
<u>supplementary</u>, then each angle is
a <em>right angle</em>.
For more clarifications on the properties of complementary and supplementary angles, visit: brainly.com/question/14941189
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Answer:
a
20cm squared
b
18cm
c
5cm
d
80cm
Step-by-step explanation:
a
Area is height multiplied by length in a regular quadrilateral
b
Perimeter is calculated by adding all the sides together
c
0.5 is effectively halving, so instead of 4 multiplied by 5 it is 2 multiplied by 2.5
d
2 is effectively doubling, so instead of 4 multiplied by 5 it is 8 multiplied by 10
Answer:
x = 60
Step-by-step explanation:
to solve this simple expression, you will collect the like terms and then evaluate for the value of x
<u>solution</u>
8.4 + 0.18x =0.32x
8.4 = 0.32x - 0.18x
8.4 = 0.14x
divide both side by the coefficient of x
8.4/0.14 = 0.14x/0.14
60 = x
x = 60
to check if the answer is correct put the value of x = 60 into the question and check if the right handside is equal to the left handside.
8.4 + 0.18x =0.32x
8.4 + 0.18 × 60 = 0.32 × 60
8.4 + 10.8 = 19.2
19.2 = 19.2................................................................................ proved
We move all terms to the left:
7x-19-(x+5)=0
We get rid of parentheses
7x-x-5-19=0
We add all the numbers together, and all the variables
6x-24=0
We move all terms containing x to the left, all other terms to the right
6x=24
x=24/6
x=4