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3 years ago

In the diagram, △ F H J ≅△ H F G . Find the values of x and y. Enter your solutions as numbers.

Mathematics

2 answers:

aniked [119]3 years ago

7 0

Let's solve for x first.

6x+8=35, because of the Alternate Interior Angles Theorem. When solving for x, that gives us x=4.5

According to CPCTC ~ Congruent Parts of Congruent Triangles are Cogruent, 2.5=2y-3 .. solving for y, that would give us y= 2.75

Happy solving! Hope that helps!

loris [4]3 years ago

4 0

Y= 2.75 add 3 to both sides and divide by 2 (2y - 3 = 2.5)

x= 4.5 subtract 8 from both sides and divide by 6 (6x + 8 = 35)

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Sanjay graphs a quadratic function that has x-intercepts of –3 and 7. Which functions could he have graphed?

kykrilka [37]

we will select each options and find zeros

(a)

$g(x)=x^2-4x-21$

for finding x-intercept , we can set g(x)=0

and then we can solve for x

$g(x)=x^2-4x-21=0$

now, we can factor it

$(x-7)(x+3)=0$

we get

$x=7,x=-3$

so, this is TRUE

(b)

$g(x)=(x-3)(x+7)$

we can set it to 0

and then we can solve for x

$g(x)=(x-3)(x+7)=0$

we get

$x=3,x=-7$

so, this is FALSE

(c)

$g(x)=3x^2-12x-63$

we can set it to 0

and then we can solve for x

$g(x)=3x^2-12x-63 =0$

$3(x^2-4x-21) =0$

$3(x-7)(x+3) =0$

$x=-3,x=7$

so, this is TRUE

(d)

$g(x)=-(x+3)(x-7)$

now, we can set it to 0

and then we can solve for x

$g(x)=-(x+3)(x-7)=0$

$x=-3,x=7$

so, this is TRUE

(e)

we have

$g(x)=x^2+4x-21$

now, we can set it to 0

and then we can solve for x

$g(x)=x^2+4x-21=0$

$(x+7)(x-3)=0$

$x=-7,x=3$

so, this is FALSE

5 0

3 years ago

Read 2 more answers

Round 5,439 to the nearest thousand

Murrr4er [49]

Answer:

5,000

Step-by-step explanation:

4 is less than 5 and more so, it will leave the 5 alone

It will also turn everything else into 0's. Making it:

-------------------------------------------------------------------------------

5,000

7 0

3 years ago

Four friends go to an amusement arcade.

galben [10]

Answer:

The rule is:

T(x) = 8x + 20

Explanation:

We are given that:

The rule for the amount that one friend pays is:

C(x) = 2x + 5

Now, we know that:

Each of the four friends will pay the entry fee which is $5 per person

The 4 friends will play the same number of games represented by x

This means that:

We can simply get the rule for the total amount to be paid by the four friends (T(x)) by multiplying the amount paid by each friend by 4

This means that:

T(x) = 4 * C(x)

T(x) = 4(2x + 5)

T(x) = 8x + 20

Hope this helps :)

4 0

3 years ago

(please help!) Add −1.25+2.5 Plot the first addend and the sum on the number.

AVprozaik [17]

Answer:

the answer of this question is 1.25

3 0

2 years ago

Read 2 more answers

What is 17.70 = 7/2m + 13.50 ?

Fantom [35]

answer: $m = 1.2$

work:

$17.70 = \frac{7}{2} m + 13.50$ | subtract 13.50 and move it over

$4.2 = \frac{7}{2}m$ | divide by 7/2

$1.2 = m$ | final answer

6 0

3 years ago