Please help with this as well! Mind to give the explanation too? Just so I know

Answer:

A:use SAS to show triangle PRQ is congruent to triangle SR.P

The length of the [tex]\overline{QT}[/tex] can be determined using the given information and

the relationship between corresponding sides of similar triangles.

Reasons:

The given parameters are;

[tex]\overline{ST} \parallel \overline{PQ}[/tex]

ST = QT + 5

RT = 10

PQ = 15

Required: The length of [tex]\overline{QT}[/tex]

Solution:

Using the relationship between corresponding sides of similar triangles, ΔRST and ΔRPQ, we have;

RQ = QT + RT

Therefore;

Which gives;

[tex]\displaystyle \frac{\overline{QT} + 5}{\overline{RT}} = \frac{\overline{PQ}}{\overline{QT} + \overline{RT}}[/tex]

Plugging in the known values gives;

[tex]\displaystyle \frac{\overline{QT} + 5}{10} = \mathbf{\frac{15}{\overline{QT} + 10}}[/tex]

[tex](\overline{QT} + 5) \times (\overline{QT} + 10) = 10 \times 15[/tex]

[tex]\overline{QT}^2 + 10\cdot \overline{QT} + 5\cdot \overline{QT} + 50 = 10 \times 15[/tex]

[tex]\overline{QT}^2 + 15\cdot \overline{QT} + 50 - 150= 0[/tex]

[tex]\mathbf{\overline{QT}^2 + 15\cdot \overline{QT} -100} = 0[/tex]

Factorizing with a graphing calculator gives;

[tex](\overline{QT} -5) \cdot (\overline{QT} + 20)= 0[/tex]

[tex]\mathbf{\overline{QT} = 5} \ or \ \overline{QT} = -20[/tex]

Therefore, given that [tex]\overline{QT}[/tex] is a natural number, we have;

[tex]\underline{\overline{QT} = 5}[/tex]

Learn more about similar triangles here:

https://brainly.com/question/4268470

Step-by-step explanation:

So in a linear function, it follows the form of y=mx+b where m is the slope of the graph (rise/run) and b is the y-intercept.  

Since b is (-13) that is the y-intercept.

This can also be confirmed by making x=0 since that is where the y-intercept occurs.

y=5x-13

y=5(0)-13

y=-13

To find the x-intercept, we need to make y equal zero since that is where x-intercepts are found.

0=5x-13

(now solve using algebra to isolate x)

(add 13 to both sides)

13=5x

(divide 5 from both sides)

13/5 = x

2.6=x

Your y-intercept is -13 and the x-intercept is 13/5.

Hope this Helps :D

Answer:

x-intercept: (2.6, 0) or  [tex](\frac{13}{5},0)[/tex]

y-intercept: (0, -13)

Step-by-step explanation:

Because the equation is written in slope-intercept form using the formula

[tex]y=mx+b[/tex]

b = y-intercept

y-intercept will be (0, -13)

To find x-intercept basically substitute 0 for y and solve for x

so x-intercept will be [tex](\frac{13}{5},0)[/tex] or simplified (2.6, 0)

Answer:

less than

Step-by-step explanation:

it's a fraction, so it will be a fraction of the original number.

Answer:

Yes, Emily is correct.

Step-by-step explanation:

If you have a - sign in front of a number in parenthesis that is negative, then what you are doing is taking the opposite of that negative number. Remember that the opposite of a negative number is a positive number. In this case, we want the opposite of negative five. What is that? It is +45, or 45. So yes, Emily is correct.

answer is 0.2 using cross multiplication.

Answer:

in 2 seconds, the snail will only move 0.2 centimeters or 2 millimeters. And after 2.5, 0.25 centimeters, or 2.5 millimeters.

Step-by-step explanation:

Answer:

145/33

Step-by-step explanation:

Assuming what you wrote was mixed fractions, this is how to do the question.

Do the division first and then subtract that from 5 4/6/

Answer:

you are correct (A)

Step-by-step explanation:

i took this

Answer:C

Step-by-step explanation: The quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04

The quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04.

Given that, Diya regrouped 2 as 20 tenths and regrouped 0.8 as 7 tenths plus 10 hundredths.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point.

According the given question, the numerical expression is

20/10 + 7/10+12/100

= 2+0.7+0.1

= 2.8

She divided all of the tenths and hundredths into three equal groups.

That is, 2.82/3

=0.94

Hence, the quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04.

To learn more about the decimal numbers visit:

https://brainly.com/question/1578006.

#SPJ2

Answer:

Rational numbers can be depicted on the number line. The centre of the number line is called Origin (O). Positive rational numbers are illustrated on the right side of zero (called origin), and negative on left side of origin. The representation of rational numbers on the number line depends on the type of fraction.

Step-by-step explanation:

The numbers on the number line increase as one moves from left to right and decrease on moving from right to left. Here, fractions and decimals have been represented on the number line. A number line can also be used to represent both positive and negative integers as well.

Answer:

x²-3x - 8 2(x + 1)

Explanation

Find common denominator and write the nu merators above common denominator:

x(x + 1) − (2x + 4) × 2

2(x + 1)

Apply Multiplicative Distribution Law :

x² + x - 4x = 8

2(x + 1)

Reorder and gather like terms:

x² + (x − 4x) — 8

2(x + 1)

Collect coefficients for the like terms:

x² + (1-4) × x-8

2(x + 1)

Calculate the sum or difference:x²-3x -8

2(x + 1)

Answer:

x²-3x - 8

2(x + 1)

Answer:

[tex]A=\frac{1}{2}h(b_{1}+b_{2} ) | *2\\2A=h(b_{1}+b_{2} ) | : (b_{1}+b_{2} )\\\frac{2A}{(b_{1}+b_{2} )} = h[/tex]

I hope it's good.

Take care !

Answer:

x = 4

Step-by-step explanation:

Whenever it asks for the equation of a vertical line all you have to do is look at the x point given to you which is 4 and make x = 4, doing this means that this certain vertical line covers all possible y values which includes -9 as well which is why the answer is x=4

Answer: 7

Step-by-step explanation:

it is trust me.

Answer:

31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3×7=21

2×5=10

21+10=31

Answer:

Independent variable = m

dependent variable = c

Step-by-step explanation:

c = 25 + 0.6m

where,

m = number of miles

c = total cost of rent

Answer:

arc RS = 72°

Step-by-step explanation:

The measure of the inscribed angle SQR is half the measure of its intercepted arc RS , then

2x + 14 = [tex]\frac{1}{2}[/tex] (6x + 6) = 3x + 3 ( subtract 2x from both sides )

14 = x + 3 ( subtract 3 from both sides )

11 = x

Then

RS = 6x + 6 = 6(11) + 6 = 66 + 6 = 72°

Answer:

-3

Step-by-step explanation:

1. To find the slope of this line, we can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] since we're given the two points from the line.

2. (Solving)

Therefore, the slope is -3.

Answer:

y = -5/3x + 8

Step-by-step explanation:

So the y - intercept is 8 and from that point the line goes down by 5 and right by 3.

Answer:

Step-by-step explanation:

a) ∠ABD + ∠DBC = 90°

4x - 3 + 7x - 6 = 90

4x + 7x - 3 - 6 = 90

       11x -  9     = 90

              11x    = 90 + 9

              11x    = 99

                   x = 99/11

x = 9

∠ABD = 4*9 - 3 = 36 - 3 = 33

Answer:

Step-by-step explanation:

An "undefined slope" is a vertical line going through the x axis at 5.  The slope is undefined since there is no change in x for all values of y.  The means the slope, which is the change in y divided by the change in x, would be a fraction with a zero denominator.  This makes it undefined.  

One value of x, in this case x=5, will include all possible values of y.  There is no y-intercept, but the line has an x-intercept of 5.

Answer:

help with what there nothing there?

what do u need help with?

Answer:

There are 8 pieces of string cut

Explanation:

27.2 ÷ 3.4 = 8

Answer:

-1

1

7

-3

Step-by-step explanation:

Answer:

0 is the answer..(•‿•)(. (•‿•)(•‿•)(•‿•)

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

First, let's pick two points on the line.

    I am going to pick (10, 10) and (40, 20) as they are easier to read.

Slope is rise over run, or in other words, change in y over change in x.

    Let's do the math:

[tex]\frac{change.in.y}{change.in.x} =\frac{20-10}{40-10} =\frac{10}{30} =\frac{1}{3}[/tex]

    So, the slope is [tex]\frac{1}{3}[/tex] which we can also check by looking at the graph, find a point then move up and over three!

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

x = 10

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sided of the triangle.

In an isosceles triangle, there are two equal sides and  a base.

Perimeter = ( 3x - 6) + (3x - 6) + x

            58 = 7x - 12

            58 + 12 = 7x

                   70  = 7x

                    [tex]\frac{70}{7} = \frac{7x}{7}[/tex]

                    10 = x