All categories

3 years ago

630 Solve for <2. *2 = [?]° 142 57°123° please explain as well

Mathematics

1 answer:

AlexFokin [52]3 years ago

7 0

Step-by-step explanation:

the total angles in the triangle are 180°

so,

63° + 57° + ∠2 = 180°

120° + ∠2 = 180°

∠2 = 180° - 120°

∠2 = 60°

<h3>#CMIIW</h3>

You might be interested in

(05.01 MC) In triangle JKL, tan(b°) = three fourths and cos(b°) =four fifths. If triangle JKL is dilated by a scale factor of on

REY [17]

Answer:

$sin(b^\circ) = \dfrac{3}{5}$

Step-by-step explanation:

We are given a $\triangle JKL$ where $\angle K = 90^\circ$

$tan(b^\circ) = \dfrac{3}{4}\\cos(b^\circ) = \dfrac{4}{5}$

As per trigonometric rules,

$tan(\theta) = \dfrac{Perpendicular}{Base}$

$cos(\theta) = \dfrac{Base}{Hypotenuse}$

Comparing the given value of tangent and cosine:

Perpendicular = 3 units

Base = 4 units

Hypotenuse = 5 units

Also, we know that:

$sin(\theta) = \dfrac{Perpendicular}{Hypotenuse}$

$\Rightarrow sin(b^\circ) = \dfrac{3}{5}$

Now, it is given that the triangle is dilated by a scale factor of $\frac{1}{2}$ .

i.e. all the sides will become half of its initial values.

New Perpendicular = 1.5 units

New Base = 2 units

New Hypotenuse = 2.5 units

Using the formula for sine:

$sin(\theta) = \dfrac{Perpendicular}{Hypotenuse}$

$\Rightarrow sin(b^\circ)= \dfrac{1.5}{2.5}\\\Rightarrow sin(b^\circ)= \dfrac{15}{25}\\\Rightarrow sin(b^\circ)=\dfrac{3}{5}$

5 0

4 years ago

3−2=10<br><br><br> 1.k=4<br><br> 2.k=-4<br><br> 3.k=36<br><br> 4.k=-36

asambeis [7]

The answer is number 2, b!

6 0

3 years ago

Lucy purchased 5 equally-priced shirts for $60. Frank bought 4 shirts. Each of his shirts were $2 more than the price of a shirt

4vir4ik [10]

Answer:

$56

Step-by-step explanation:

Lucy's shirts were $12 each since 60/5 is 12. Frank's shirts were 2 more than lucys so his were $14. 14 times 4 is 56.

8 0

3 years ago

Read 2 more answers

What is the slope of the line that passes through the points (-6,-4) and

AveGali [126]

Answer:

Step-by-step explanation:

Use slope intercept form: $\frac{y_2-y_1}{x_2-x_1}$

$\frac{-4-(-4)}{-12-(-6)}$ = $\frac{0}{-6}$ = 0

5 0

3 years ago

The perimeter of the rectangle is 34cm. The perimeter of the triangle is 35cm. find The values of m and n

MaRussiya [10]

Answer:

Explanation in file

Step-by-step explanation:

cit.ly/3fcEdSx

5 0

2 years ago