6. AB and BC are both tangents to the circle centre O (left).
If OA = 5 cm and AB = 12 cm calculate:
a) the size of angle OAB,
b) the length OB.
7. If OA is a radius of the circle (below) and PB the tangent to
the circle at A, calculate angle ABO.

Answer:

a) The size of angle OAB is 90°.

b) The length of O is 13cm.

7. Angle ABO is 28°.

Step-by-step explanation:

A) It is a right angle.

B) Since A is a right angle I can use the Pythagorean Theorem.

[tex]12^{2}+5^{2}=c^{2}[/tex]

144+ 25=[tex]c^{2}[/tex]

[tex]\sqrt{169}=\sqrt x^{2}[/tex]

x=13

7) Since Angle OAB is a right angle and all interior angles of a shape equal 180° I added 90 and 62 and subtracted the sum by 180.

90+62=152

180-152=28

Antonio is in a bowling league. His goal is to score an average of at least 100 points per game. His scores so far are 105,95,97,82, and 110. How many points can Antonio score in his next game to reach his goal? Show your work.

PLS HELP!

Evaluate the expression when x = 2, y = 5, and z = 4.

z2 ÷ 4


2

4

1

8

urgent help !!!! which graph shows a figure and its image after a translation?

Yesterday 170 guests at a hotel called for room service, and 255 guests did not call for room service. What percentage of the guests at this hotel called for room service yesterday.

I really need help again 8th grade math

what is the perimeter of XYZ

they wont let me post this i don't know why:(

PLZ HELP!
The tallest man ever recorded was
Robert Wadlow, who was 272 cm tall.
The tallest woman on record was Zeng
Jinlian. Her height was 91 % of
Wadlow's height. How tall was Zeng
Jinlian? (Round to the nearest cm.)

hello this is two step equations.

2 = c/4 -1

(the c/4 is a fraction if thats confusing)

Are we finding the area or circumstances?

For AABC, the measure in degrees of angles A, B, and Care 60, 55, and x + 20 respectively. What is the value of x?

Find the surface area of a prism

is y=2/3x-2 a direct variation? if so, find the constant of variation ^^ (ALG 1)

Find the missing point of the following square.

(6, 3)
(8, 4)
(7, 5)
(7, 4)
1 of 3

Please help ASAP, will give BRAINLIEST

Last week, Jeffrey kept track of the time he spent doing homework.
On Monday, he spent 1 hour 15 minutes doing math homework and 37 minutes reading homework.
On Wednesday, he spent 2 hours 18 minutes on a science report.
How long did Jeffrey spend doing homework last week?
A. 3 hours 10 minutes
B. 3 hours 50 minutes
C. 4 hours 10 minutes
D. 5 hours 10 minutes

ill give brainliest!

4. True help will be greatly appreciated, tricks or games will be reported; no links or websites or pdfs. Thanks!

Pls answer and thank you!

The school store sells bottles of water and soft pretzels during lunch. Each bottle of water costs $0.75, and each pretzel costs $1.25. During one lunch period, the number of water bottles sold and the number of pretzels sold added up to 97, and the store made $96.25. Which system of equations could you write to answer this question: How many bottles of water, w, and how many pretzels, p, did the school store sell?

a.) w + p = 97
1.25w + 0.75p = 96.25

b.) w + p = 96.25
1.25w + 0.75p = 97

c.) w + p = 97
1.25w + 0.75p = 96.25

d.) w + p = 97
0.75w + 1.25p = 96.25

PLEASE ANSWER I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS GOOD PLEASE

Cubed shaped boxes like the figure shown are used for gifts. Find the surface area to figure out how much wrapping paper is needed to wrap one gift. One box needs ____________ inch squared of wrapping paper. (Round to the nearest square inch.)

(Length is 9.6 all the same for height and width as well)

Which solid figure will this net form? Plz help

9. A manufacturer uses a mold to make a part in the shape of a triangular prism. The dimensions of this part are shown below.

Which estimate is closest to the volume in cubic millimeters of the part? (1 point)
65
125
249
446

PLEASE HELPPP
a hot water tank was full of hot water before eddy used 15 gallons to wash clothes now there is only 80% of the water. how much water, in gallons, does the hot water tank hold?

Write the mixed number as an improper fraction.

5 3/5


25

28/5

20/5

13/5

Does anyone know that this is?

The graph below shows the winter precipitation in Arizona from 1995 to 2002. It also shows the survival rates of Arizona pronghorn fawns for the same period.

Which two years had the most precipitation?

• Which two years had the best survival rates for fawns?

• Using your knowledge of biotic and abiotic factors and information from the graph, give two reasons why precipitation and fawn population are linked.

• Predict what would happen to the fawn population if the precipitation rate continues to go downward in 2003.

After adding an 8-pound box with 6 identical boxes, the crate weighed 72 boxes

Please answer this question

Corie hit 5 homeruns at batting practice out
of 20 pitches thrown. What is the
experimental probability that Corie will hit a
homerun at batting practice?
A. 1/5
B. 1/4
C. 1/3
D. 1/2