Angles 1 and 2 are complementary and congruent. What is the measure of angle 1?

Mathematics

2 answers:

lesya [120]3 years ago

5 0

Well it's 45 as it's a right angle split

Natalija [7]3 years ago

3 0

Because they are complementary and congruent, and they make a right angle they both must be 45 degrees

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Can someone help me find x please

a_sh-v [17]

Answer:

38.7°

Step-by-step explanation:

We can solve the triangle using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where

SOA stands for

Sin Ф = opposite side/hypotenuses side

CAH stands for

Cosine Ф = adjacent side/hypotenuses side

TOA stands for

Tangent Ф = opposite side/adjacent side

The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.

Considering the triangle with respect to angle x, 8cm is the opposite side, 10cm is the adjacent side

hence

Tan x = 8/10

Tan x = 0.8

x = tan -1 0.8

= 38.7°

4 0

3 years ago

What is 1 1/4÷ by 3 4/5

spin [16.1K]

let's firstly convert the mixed fractions to improper fractions and then divide.

$\bf \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}}~\hfill \stackrel{mixed}{3\frac{4}{5}}\implies \cfrac{3\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{19}{5}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{4}\div\cfrac{19}{5}\implies \cfrac{5}{4}\cdot \cfrac{5}{19}\implies \cfrac{25}{76}$