Ask question

Ask question

All categories

3 years ago

12

In the diagram, what is the measure of angle 1?

1 answer:

VLD [36.1K]3 years ago

7 0

We know that
angle (3x) and angle (9x) are supplementary angles
so
3x+9x=180°------> 12x=180°------> x=180°/12-----> x=15°

angle (9x) and angle (1) are supplementary angles
so
9x+∡1=180---------> 9*15+∡1=180
∡1=180-9*15---------> ∡1=180-135------> ∡1=45°

the answer is
∡1 is 45°

alternative method
angle 1 = angle 3x----------> vertical angles
∡1=3x-----> 3*15-----> 45°

You might be interested in

There are 99 members in the Ohio House of Representatives. All of them were present when a vote was taken on a piece of legislat

horrorfan [7]

Answer:

40 "no" votes

Step-by-step explanation:

99 total members

-6 (Didn't vote)

93 left

-13 (more yes. Getting to where it's even votes)

80 left. (split evenly between yes and no)

%2

40

7 0

3 years ago

Read 2 more answers

Solve the inequality.

zysi [14]

Answer:

?= 2

X=1

Step-by-step explanation:

3(1+1)<9

3×2<9

6<9

Pls mark brainliest.

8 0

1 year ago

Read 2 more answers

What are the exact solutions of x^2 − 3x − 7 = 0?

bulgar [2K]

<u>Given</u>:

The given equation is $x^{2} -3x-7=0$

We need to determine the exact solutions of the equation.

<u>Exact solution:</u>

The exact solution of the equation can be determined by solving the equation using quadratic formula,

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

From the equation the values are a = 1, b = -3 and c = -7

Thus, substituting these values in the equation, we get;

$x=\frac{-(-3) \pm \sqrt{3^2-4(1)(-7)}}{2(1)}$

$x=\frac{3 \pm \sqrt{9+28}}{2}$

$x=\frac{3 \pm \sqrt{37}}{2}$

Thus, the exact solutions of the given equation is $x=\frac{3 \pm \sqrt{37}}{2}$

Hence, Option A is the correct answer.

6 0

3 years ago

The number of fish in a lake is decreasing by 400 every year, as described by the function below.

FrozenT [24]

Answer:

D: 7800

Can you give me brainliest :>

Step-by-step explanation:

3 0

2 years ago

What is the area of a shape with points a 5 -8 b 11, -8 c 11,0 d 6,-3 e 4,-3

Dmitriy789 [7]

Answer:

Area of the given figure is 51.5 square units.

Step-by-step explanation:

Area of rectangle OCBH = Length × width

= 11 × 8

= 88 square units

Area of trapezoid OGEF = $\frac{1}{2}(b_1+b_2)\times h$

= $\frac{1}{2}(\text{GE+OF)}\times (\text{OG})$

= $\frac{1}{2}(3+6)\times 4$

= 18 units²

Area of trapezoid GCDE = $\frac{1}{2}(\text{GC+DE)}\times (\text{GE})$

= $\frac{1}{2}(7+2)\times 3$

= 13.5 units²

Area of triangle AFH = $\frac{1}{2}(\text{Base})\times (\text{Height})$

= $\frac{1}{2}(5)(2)$

= 5 units²

Area of polygon ABCDEF = Area of rectangle CBHO - (Area of trapezoid OGEF + Area of trapezoid GCDE + Area of triangle AFH)

= 88 - (18 + 13.5 + 5)

= 88 - 36.5

= 51.5 units²

Therefore, area of the given polygon is 51.5 units²

3 0

3 years ago