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3 years ago

In the diagram, the measure of angle 6 is 98°.

Mathematics

2 answers:

Vedmedyk [2.9K]3 years ago

4 0

Angle 6 and 7 both form a straight angle which is equal to 180

Since angle 6 equals 98 then you do 180 - 98 to get the angle for angle 7 which is 82

zimovet [89]3 years ago

4 0

Answer:

∠7=82°

Step-by-step explanation:

It is given in the figure that two parallel lines are cut by a transversal and angles are mentioned in the figure.

Also, it is given that ∠6=98° and from the figure we can see that ∠6 and ∠7 are on a straight line and forms a linear pair, therefore their sum is equal to 180°, thus

∠6+∠7=180°

⇒98°+∠7=180°

⇒∠7=180-98

⇒∠7=82°

Therefore, the measure of ∠7 is 82°.

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I need help answering the question in the photo

Lana71 [14]

Given:

Results of a spinner shown in the table.

To find:

The experimental probability of the spinner landing on a 1 or 7.

Solution:

From the given table it is clear that,

Spinner landing on 1 = 12 times

Spinner landing on 7 = 9 times

Spinner landing on 1 or 7 = 12+9 = 21 times

Total number of times spinner landed = 12+35+72+29+40+18+9+65+42 = 322 times

Now, the experimental probability of the spinner landing on a 1 or 7 is

$P=\dfrac{\text{Spinner landing on 1 or 7}}{\text{Total number of times spinner landed}}$

$P=\dfrac{21}{322}$

$P=0.06521739$

$P\approx 0.065$

Therefore, the correct option is A.

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3 years ago

Which function in vertex form is equivalent to f(x) = 4 + x2 – 2x?

Kazeer [188]

Answer:

The vertex form of the function is $f(x)=(x-1)^2+3$ .

Step-by-step explanation:

The given function is

$f(x)=4+x^2-2x$

The vertex form is

$f(x)=(x-h)^2+k$

Rewrite the given function

$f(x)=(x^2-2x)+4$

$-\frac{b}{2a}=-\frac{-2}{2(1)}=1$

Add and Subtract $(-\frac{b}{2a})^2$ .

$f(x)=(x^2-2x+1)+4-1$

Use $(a-b)^2=a^2-2ab+b^2$

$f(x)=(x-1)^2+3$

Therefore the vertex form of the function is $f(x)=(x-1)^2+3$ .

7 0

3 years ago

Read 2 more answers

Similarity of right angle triangle

andre [41]

Answer:

The triangles pictured are similar (SSS), that is the corresponding sides are in the same ratio. Hence the matching angles are the same. For any right-angled triangle similar to triangle ABC, the ratio of the matching sides will be the same.

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3 years ago

Find the gcf of 8x and 22xy

TEA [102]

The GCF of <span>8x and 22xy is 2x</span>

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3 years ago

Suppose you write a sum of numbers as a product of their GCF and another sum. What is the GCF of the number in the other sum? Ex

Fantom [35]

Example :
20 + 30.....GCF = 10

10(2 + 3)

The GCF of the number now is 1....because u have basically already factored the GCF out.....leaving only 1 as a factor now

here's another one...
3 + 9...GCF = 3
3(1 + 3)
so the GCF now is 1

8 0

3 years ago