Ask question

Ask question

All categories

2 years ago

9

Solve for x in the diagram.

2 answers:

BARSIC [14]2 years ago

8 0

Answer:

x = 20

Step-by-step explanation:

x° + 2x° + (x+10)° = 90°

3x° + x° + 10° = 90°

4x° + 10° = 90°

4x° = 90°-10°

4x° = 80°

x = 80/4

x = 20

olga nikolaevna [1]2 years ago

4 0

Answer:

20°

Step-by-step explanation:

The sum of all three angles combined is 90°. You can see this by the square at the corner. This means that you have to add all of the angles together and set it equal to 90° to solve for x.

x° + 2x° + (x + 10)° = 90°

3x° + (x + 10)° = 90°

4x° + 10° = 90°

4x° = 80°

x = 20°

You might be interested in

Simplify the expression 288 · 1318 − 288 · 1316.

sveticcg [70]

Answer:

576

Step-by-step explanation:

8 0

2 years ago

What is the opposite of -21? show all work

bogdanovich [222]

21 is the opposite of -21

8 0

2 years ago

Determine whether the triangles can be proved similar. If they are similar, write a similarity statement. If they are not simila

Ierofanga [76]

Answer: $\triangle XYZ \sim \triangle GFH$ by AA.

Step-by-step explanation:

Finding the third angle in triangle XYZ,

$m\angle YXZ=180^{\circ}-77^{\circ}-48^{\circ}=55^{\circ}$ ,

Thus, $\triangle XYZ \sim \triangle GFH$ by AA.

3 0

1 year ago

Findℒ{f(t)}by first using a trigonometric identity. (Write your answer as a function of s.)f(t) = 12 cost −π6

allsm [11]

Answer:

$L(f(t)) = \dfrac{6}{S^2+1} [\sqrt{3} \ S +1 ]$

Step-by-step explanation:

Given that:

$f(t) = 12 cos (t- \dfrac{\pi}{6})$

recall that:

cos (A-B) = cos AcosB + sin A sin B

∴

$f(t) = 12 [cos\ t \ cos \dfrac{\pi}{6}+ sin \ t \ sin \dfrac{\pi}{6}]$

$f(t) = 12 [cos \ t \ \dfrac{3}{2}+ sin \ t \ sin \dfrac{1}{2}]$

$f(t) = 6 \sqrt{3} \ cos \ (t) + 6 \ sin \ (t)$

$L(f(t)) = L ( 6 \sqrt{3} \ cos \ (t) + 6 \ sin \ (t) ]$

$L(f(t)) = 6 \sqrt{3} \ L [cos \ (t) ] + 6\ L [ sin \ (t) ]$

$L(f(t)) = 6 \sqrt{3} \dfrac{S}{S^2 + 1^2}+ 6 \dfrac{1}{S^2 +1^2}$

$L(f(t)) = \dfrac{6 \sqrt{3} +6 }{S^2+1}$

$L(f(t)) = \dfrac{6( \sqrt{3} \ S +1 }{S^2+1}$

$L(f(t)) = \dfrac{6}{S^2+1} [\sqrt{3} \ S +1 ]$

7 0

2 years ago

What is the value of R

frutty [35]

Answer:

2.45 × $10^{6}$

Step-by-step explanation:

using the rules of exponents

• $\frac{a^{m} }{a^{n} }$ = $a^{(m-n)}$

• $(a^m)^{n}$ = $a^{mn}$

evaluating the numerator

(3.8 × $10^{5}$ )² = 3.8² × $(10^5)^{2}$ = 14.44 × $10^{10}$

R = $\frac{14.44.10^{10} }{5.9.10^{4} }$

= $\frac{14.44}{5.9}$ × $\frac{10^{10} }{10^{4} }$

= 2.45 × $10^{6}$ ← to 2 dec. places

7 0

2 years ago