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3 years ago

HELP Find the measure of angle z in the following figure,

Mathematics

2 answers:

arlik [135]3 years ago

6 0

Answer:

Step-by-step explanation:

so you know that where it around angle c you use supplementry angels. this makes it 180-130=50.

you then know that the triangle is 90degrees plus 50 degrees plus x =180

90+50+z=180

140+z=180

z=40

Tema [17]3 years ago

4 0

Answer:

B) ∠z = 40°

Step-by-step explanation:

All three angles of a triangle add up to 180°. In this image, you can see that the angle ∠ACD is 130°. Because ∠ACB and ∠ACD are supplementary angles it means that their angles equal 180° when added together.

If ∠ADC = 130° then:

180° - 130° = 50°

Since we now know that ∠ACB is 50°, we can subtract our two angles from 180° to get the measurement for angle z.

180° - 50° - 90° =

180° - 140° = 40°

~Hope this helps!~

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The four points (−2, 5), (−2, −1), (6, −1), and (3, 5) are the vertices of a polygon. What is the area, in square units, of this

crimeas [40]

Look at the picture.

The polygon is a right-angled trapezoid.

The area is:
$A=\frac{a+b}{2} \times h$

The points (-2,-1) and (6,-1) lie on the same horizontal line, so the distance between them is 6-(-2)=6+2=8. The length of a is 8 units.
The points (-2,5) and (3,5) lie on the same horizontal line, so the distance between them is 3-(-2)=3+2=5. The length of b is 5 units.
The points (-2,5) and (-2,-1) lie on the same vertical line, so the distance between them is 5-(-1)=5+1=6. The length of h is 6 units.

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The area is 39 square units.

5 0

3 years ago

Read 2 more answers

Find the surface area of a sphere with a volume of 36π in3.

swat32

First use known volume to solve for radius:
$V=\frac{4}{3}\pi r^{3}$
$r=\sqrt[3]{\frac{3V}{4\pi}}$
$r=\sqrt[3]{\frac{3(36\pi)}{4\pi}}$
$r=\sqrt[3]{27}$
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Then use the radius to get the surface area:
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3 years ago

Lauren has 4 3/8 cups of flour.Each batch of her pancake batter needs 1 1/4 cups of flour.How many batches of her batter can she

GuDViN [60]

She can make 3 batches. 3 batches will take 3 3/4 cups. If she made 4 it would take 5 cups

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4 years ago

This is due tomorrow and i have answers but i think ive done it wrong! please help

Eva8 [605]

Answer: i) 1 - 9x² - 12x

ii) 17 - 3x²

iii) - 20 + 10x² - x⁴

Step-by-step explanation:

g(x) = 3x + 2 h(x) = 5 - x²

i) h(g(x))

h(3x + 2) = 5 - (3x + 2)²

= 5 - (9x² + 12x + 4)

= 5 - 9x² - 12x - 4

= 1 - 9x² - 12x

ii) g(h(x))

g(5 - x²) = 3(5 - x²) + 2

= 15 - 3x² + 2

= 17 - 3x²

iii) h(h(x))

h(5 - x²) = 5 - (5 - x²)²

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= 5 - 25 + 10x² - x⁴

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4 0

4 years ago

Century Go...

LekaFEV [45]

6 bills in the deposit were $10 bills.

Step-by-step explanation:

The total number of bills he gave the teller = 24 bills

x + y = 24 ------------(1)

Let,

x be the number of $5 bills.

y be the number of $10 bills.

The total bank deposit made using $5 and $10 bills are $150.

He deposits $5 bills and $10 bills. So, the equation can be framed as :

5x + 10y = 150 --------(2)

The question is asked for how many $10 bills were in the deposit,

Here 'y' is the number of $10 bills.

To solve for y value :

The eq(1) must be multiplied by 5 and subtract eq(2) from eq(1),

5x + 5y = 120

-(5x + 10y = 150)

-5y = -30

⇒ y = 30/5

⇒ y = 6

Therefore, there were 6 bills in the deposit that are $10 bills.

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3 years ago