All categories

3 years ago

Look at the picture. Solve for y

Mathematics

1 answer:

Mumz [18]3 years ago

5 0

Answer:

y = 5

Step-by-step explanation:

Equation:

m<DGF = m<DGE + m<EGF

Given:

m<DGF = 12y - 5

m<DGE = 5y + 6

m<EGF = 24

Work:

m<DGF = m<DGE + m<EGF

12y - 5 = 5y + 6 + 24

12y - 5 = 5y + 30

12y - 5y = 30 + 5

7y = 35

y = 5

You might be interested in

Blonde or brunette? Explain why (Its for my human interactions course so pls dont report it)

Trava [24]

Answer:

imo i would go with brunette because i don't really like blondes. most ones ive met are annoying.

Step-by-step explanation:

4 0

3 years ago

What is the solution to 4x^3 – 3x^2 – 7x < 0? A. (–ꝏ, –1) U (0, 1.75) B. (–ꝏ, –1] U [0, 1.75] C. (–1, 0) U (1.75, ꝏ) D. [–1,

Nataly_w [17]

The answer is the third one

7 0

3 years ago

Read 2 more answers

(a 3 - 2a + 5) - (4a 3 - 5a 2 + a - 2)

Andreas93 [3]

Answer:

- 3a³ + 5a² - 3a + 7

Step-by-step explanation:

Given

(a³ - 2a + 5) - (4a³ - 5a² + a - 2)

Distribute both parenthesis noting the second is distributed by - 1

= a³ - 2a + 5 - 4a³ + 5a² - a + 2 ← collect like terms

= (a³ - 4a³ ) + 5a² + (- 2a - a) + (5 + 2)

= - 3a³ + 5a² - 3a + 7

3 0

3 years ago

A 25-foot ladder is leaned against a wall. If the base of the ladder is 7 feet from the wall, how high up the wall will the ladd

GenaCL600 [577]

Answer:

24ft

Step-by-step explanation:

Pythagorean Theorem!!

$a^2 + b^2 = c^2$

------------------------

In this case, the ladder is c, and the base is b.

------------------------

Plug the numbers in the formula.

$a^2 + 7^2 = 25^2$

------------------------

Solve.

$a^2 + 49 = 625$

$a^2 -49 = 625 - 49$

$a^2 = 576$

$\sqrt{a^2} = \sqrt{576}$

$a = 24$

8 0

3 years ago

Please help me with this problem, please

Harman [31]

Answer:

sin(x) = 5/13

cos(y) = 5/12

Therefore, sin(x) = cos(y)

Step-by-step explanation:

Trig ratios:

$sin(\theta)=\dfrac{O}{H}\\\\\\cos(\theta)=\dfrac{A}{H}\\\\\\tan(\theta)=\dfrac{O}{A}$

where $\theta$ is the angle, O is the measure of the side opposite the angle, A is the measure of the side adjacent to the angle and H is the hypotenuse, of a right triangle

We have been given the measures of the two legs, so we can find the measure of the hypotenuse by using Pythagoras' Theorem $a^2+b^2=c^2$

(where a and b are the legs and c is the hypotenuse of a right triangle)

$\implies 5^2+12^2=c"\\\\\implies 169=c^2\\\\\implies c=\sqrt{169}\\\\ \implies c=13$

Now we can use the trig ratios:

$\implies sin(x)=\dfrac{5}{13}$

$\implies cos(y)=\dfrac{5}{13}$

Therefore, sin(x) = cos(y)

8 0

2 years ago