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3 years ago

(SAT Prep) Find the value of x.

Mathematics

2 answers:

natali 33 [55]3 years ago

4 0

Answer:

huh

Step-by-step explanation:

just multi ply its not hard

Delicious77 [7]3 years ago

3 0

Answer: x=40°

Step-by-step explanation:

The two triangles are congruent (I think it’s called the interior angle proof) so the bottom right angle is also 65°. All angles in a Triangle equal 180°, so 180-(75+65)=40

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How do you find 79% of 32

liubo4ka [24]

Convert 79% to a decimal which is .79

Then you multiply .79 by 32 which is 25.28

Your answer is 25.28

5 0

3 years ago

The green triangle is a dilation of the red triangle with a scale factor of s=1/3 and the center of dilation is at the point (4,

klasskru [66]

Given:

The scale factor is $s=\dfrac{1}{3}$ and the center of dilation is at the point (4,2).

Red is original figure and green is dilated figure.

To find:

The coordinates of point C' and point A.

Solution:

Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

$(x,y)\to (k(x-a)+a,k(y-b)+b)$

According to the given information, the scale factor is $\dfrac{1}{3}$ and the center of dilation is at (4,2).

$(x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)$ ...(i)

Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using (i), we get

$C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)$

$C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)$

$C(-2,11)\to C'(-2+4,3+2)$

$C(-2,11)\to C'(2,5)$

Therefore, the coordinates of Point C' are C'(2,5).

We assumed that point A is A(m,n).

Using (i), we get

$A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)$

From the given figure it is clear that the image of point A is (8,4).

$A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)$

On comparing both sides, we get

$\dfrac{1}{3}(m-4)+4=8$

$\dfrac{1}{3}(m-4)=8-4$

$(m-4)=3(4)$

$m=12+4$

$m=16$

And,

$\dfrac{1}{3}(n-2)+2=4$

$\dfrac{1}{3}(n-2)=4-2$

$(n-2)=3(2)$

$n=6+2$

$n=8$

Therefore, the coordinates of point A are (16,8).

5 0

3 years ago

2. CO DEEPER) Franco played computer chess for 3 hours. Lian played

Galina-37 [17]

Answer: Franco played for 30 minutes longer than Lain.

Step-by-step explanation:

3 times 60= 180

180-150=30 minutes

4 0

3 years ago

$1,451.02 _____ $1,541.02

Likurg_2 [28]

Answer:

The second number ($1,541.02) is greater

Step-by-step explanation:

In the 100s place of the second number is a 5 and in the first a 4

Even though they have the same 1000s number 500 is larger that 400

7 0

2 years ago

Read 2 more answers

2. What percent of rolling a 2 3 probability of getting HH

faust18 [17]

Answer:

2. The correct answer option is 25%.

3. The experimental probability is 3% greater than the theoretical probability.

Step-by-step explanation:

2. We are given that a number cube is rolled 20 times out of which 5 times it lands on the number 2.

We are to find the experimental probability of getting the number 2.

P (2) = $\frac{5}{20} \times 100 =\frac{1}{4} \times 100$ = 25%

3. The theoretical Outcomes are: HH HT TH TT

So theoretical probability of getting HH = $\frac{1}{4} \times 100$ = 25%

Total number of outcomes = $28+22+34+16$ = 100

So experimental probability of getting HH = $\frac{28}{100} \times 100$ = 28%

Therefore, the experimental probability is 3% greater than the theoretical probability.

6 0

3 years ago