Here is an isosceles triangle.

Choose the true statements.
A. The triangle has two equal angles.
B. The triangle has an obtuse angle.
C. Two of the sides are the same length.​

Answer:

Mass is used to measure the weight of an object. For example, you are measuring the mass of your body when you step on to a scale. In the metric system of measurement, the most common units of mass are the gram and kilogram.

1. d. QS ≅ ST.

2. a. ∠A and ∠D are right angles.

3. D is the midpoint of segment AC (statement 2)

Definition of midpoint (reason 3)

SSS postulate (reason 5)

4. b. AC ≅ DC.

5. c. ∠ABC ≅ DBC.

The midpoint of a segment is where the segment is divided into two equal parts.

Thus, in question one, the statement that matches the reason in step 2 is: d. QS ≅ ST.

Two lines that are perpendicular to each other will form right angle where they intersect each other.

Therefore, in question 2, the statement for step 2 reason is: a. ∠A and ∠D are right angles.

For question 3, the statement for the reason in step 2 is D is the midpoint of segment AC; the reason in step 3 why AD ≅ CD is: definition of midpoint, while both triangles are congruent to each other based on SSS postulate.

In question 4, since BC bisects segment AD, therefore, the statement for reason 2 is: b. AC ≅ DC.

In question 5, since BC bisects angle ABD, therefore, the statement for reason 2 is: c. ∠ABC ≅ DBC.

In summary, applying the definition of midpoint among other definitions, the missing statements or reasons in the two-column proofs are:

1. d. QS ≅ ST.

2. a. ∠A and ∠D are right angles.

3. D is the midpoint of segment AC (statement 2)

Definition of midpoint (reason 3)

SSS postulate (reason 5)

4. b. AC ≅ DC.

5. c. ∠ABC ≅ DBC.

Learn more about midpoint on:

https://brainly.com/question/24676143

#SPJ1

Answer:

In total 177 more students enrolled this year.

Step-by-step explanation:

First get the sum of the students who enrolled in 1995, then the sum of 2005 and then subtract the sums.

Answer:

177 more students

Step-by-step explanation:

1995 had 65 students enrolled

females - 23 males - 42

23 + 42 = 65

2005 had 242 students enrolled

113 + 129 = 242

now to get how many more, you'll want to subtract

242 - 65 = 177

we know this is correct by adding 65 to 177

177 + 65 = 242

either way our answers will be the same

Hope this helps you!

                                  ~tnyu

bruh its so blury. make the same question with a different angle

Answer: 1 7/30

Step-by-step explanation:

Answer:

Step-by-step explanation:

The amount of money Robert has after 1 year is; $2495.

We are told that Robert came up with the following expression 45w + 155.

where w is the number of weeks that he has been saving.

The equation above represents the amount he will have in his bank account.

Now, 1 year has 52 weeks. Thus, the amount he would have saved in 52 weeks is;

45(52) + 155 = $2495

Thus, we conclude that the amount of money Robert has after 1 year is $2495.

Read more about Algebra Word Problems at; https://brainly.com/question/21405634

#SPJ1

Answer:

yes and free points woooooooooooo

Step-by-step explanation:

Answer:

There is sufficient evidence that the students claim is correct.

Step-by-step explanation:

From the information given:

The population proportion P = 55% = 0.55

The sample size n = 150

The sample mean x = 96

The sampling proportion from the sample mean [tex]\hat p = \dfrac{x}{n}[/tex]

[tex]\hat p = \dfrac{96}{150}[/tex]

[tex]\hat p =0.64\\[/tex]

The null and alternative hypothesis is:

[tex]H_o : p = 0.55 \\ \\ H_1 : p > 0.55[/tex]

The test statistics can be computed as follows:

[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]

[tex]Z = \dfrac{0.64 - 0.55}{\sqrt{\dfrac{0.55(1-0.55)}{150}}}[/tex]

[tex]Z = \dfrac{0.09}{\sqrt{\dfrac{0.2475}{150}}}[/tex]

[tex]Z = \dfrac{0.09}{\sqrt{0.00165}}[/tex]

Z = 2.22

The P - value = P ( Z > 2.22)

= 1  - P( Z < 2.22)

= 1 - 0.98679

= 0.01321

Since P-value is less than the level of significance ∝ = 0.05

We reject the null hypothesis [tex]H_o[/tex]

Conclusion: There is sufficient evidence that the students claim is correct.

Answer:

4%

Step-by-step explanation:

17.68 / 17 = 1.04

1.04 - 1 = 0.04

0.04 = 4%

So the sales tax rate is 4%

Answer:

The correct choice is:

-2 to the 4th power is positive 16.

Option C is correct.

Step-by-step explanation:

We need to find mistake make in work below:

[tex](-2x^4)^4=-16x^{16}[/tex]

The mistake here is when we have even power, the negative sign gets positive i.e [tex](-a)^m=a^m[/tex] if m is even

so, in our case it would be:

[tex](-2x^4)^4=16x^{16}[/tex]

The correct choice is:

-2 to the 4th power is positive 16.

Option C is correct.

Answer:

x = -1

Step-by-step explanation:

3(-1) - 3

-3 - 3

-6

-6 = -6

Answer: x=-1

Step-by-step explanation:

Substitute g(x) as -6

-6=3x-3

add 3

-3=3x

divide 3

-3/3=-1

x=-1

Answer:The three sides have the same length.

Step-by-step explanation:

If this isn’t it, I’m sorry.

Answer:

The 3rd option, "The three sides have the same length."

Step-by-step explanation:

Just took the test.

Answer:

1.75 feet of wood

Step-by-step explanation:

350/200 = 1.75

x/1 = 1.75

Multiply both sides by 1 to isolate x.

x = 1.75

Answer:

C

Step-by-step explanation:

Answer:

$7.80

Step-by-step explanation:

Answer:

The slope between points T (9, -3) and U (-4, 1) is [tex]\mathbf{-\frac{4}{13}}[/tex]

Step-by-step explanation:

We need to find the slope between points T (9, -3) and U (-4, 1)

The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

We are given: [tex]x_1=9,y_1=-3, x_2=-4, y_2=1[/tex]

Putting values and finding slope:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\\\Slope=\frac{1-(-3)}{-4-9} \\Slope=\frac{1+3}{-4-9} \\Slope=\frac{4}{-13}\\Slope=-\frac{4}{13}[/tex]

So, slope between points T (9, -3) and U (-4, 1) is [tex]\mathbf{-\frac{4}{13}}[/tex]

Answer:

3 = x

Step-by-step explanation:

To simplify this equation, combine like terms:

3 = x

Answer:

area is 20

Step-by-step explanation:

Answer:

20 units squared

Step-by-step explanation:

4(base) x 10(height) = 40

40 / 2 = 20

Answer:

5

Step-by-step explanation:

plug this ecuation into desmos graphing calculator(it's a website). Then see how many times the graph crosses the x-axis.

To find the zeroes:

0 of a function means for what value(s) of x will the f(x) or y equal zero(0). To find the zeroes of this function, just see what numbers will make f(x) = 0. Since this equation is already factored, our job is much easier. Focus on small parts of the equation and don't get ovewhelmed by how long it its. For you problem, start by -5(x^2-7). what x will make -5(x^2-7) = 0? As long as (x^2-7) = 0, the whole equation will equal zero since any number times 0 is 0. (x^2-7)=0, move -7 to the right, x^2=7, get squre root of both sides, you will have x=plus or minus[tex]\sqrt{7}[/tex]. This is one of the zeroes. There are many more in this equation since we have more than one x-intercepts. Now using thsi tactic, you can solve for the rest of the zeroes.

there is a calculator called symbolab, It's also a website and it can calculate whatever you need.

The number of x-intercepts is five would be the given function.

The x-intercept is defined as an intercept that is located at the x-axis of the plane, is the location or coordinate from where the line crosses,

The function is given in the question

F(x) = -5(x²-7)(x+6)²(x+1)(4x+1)

We have to determine the number of x-intercepts that would the function.

F(x) = -5(x²-7)(x+6)²(x+1)(4x+1)

The x-intercept occurs at a point where F(x) = 0

0 = -5(x²-7)(x+6)²(x+1)(4x+1)

-5(x²-7)(x+6)²(x+1)(4x+1) = 0

Here (x²-7) = 0, and (x+6)² = 0, (x+1) = 0, and (4x+1) = 0

x² = 7 , and (x+6) = 0, x = -1 , and 4x = -1

x = ±7 and x = -6 , x = -1 , and x = -1/4

x = 7, -7  and x = -6 ,  x = -1 , and x = -1/4

Therefore, the number of x-intercepts is five would be the given function.

Learn more about the x-intercept here:

https://brainly.com/question/14180189

#SPJ2

Answer:

m = 3

Step-by-step explanation:

[tex]m=\frac{1-7}{4-6}=\frac{-6}{-2}=\boxed{3}[/tex]

Hope this helps.

Answer:

3

Step-by-step explanation:

y¹-y²

------

x¹-x²

substitute then solve.

7-1 6

------ --> ----

6-4 2

6/2=3 so slope is 3.

Answer:

£30

Step-by-step explanation:

→ Model the situation in terms of x

Richard = x, Natasha = 3x and Krutika = 6x

→ Now put the values into ratio form

6x : 3x : x = 50

→ Collect the x terms

10x = 50

→ Divide both sides by 10 to isolate

x = 5

→ Substitute x = 5 into Krutika

6 × 5 = 30

Answer:

£30

Step-by-step explanation:

Let's break down the information given to help us find how much Krutika gets.

"Natasha gets three times as much as Richard" - We can express the value that Natasha gets as [tex]3r[/tex] in terms of what Richard gets.

"Krutika gets twice as much as Natasha" - We can express this as [tex]2(3r)[/tex] which equals [tex]6r[/tex].

We know that the total money is £50, so we can write the equation:

[tex]r+3r+6r=50[/tex]

[tex]10r = 50[/tex]

[tex]r=5[/tex]

∴ Richard gets £5.

Since the money Krutika gets can be expressed as [tex]6r[/tex]:

[tex]6(5) = 30[/tex]

∴ Krutika gets £30.

Hope this helps :)

9514 1404 393

Answer:

  a) y = 5x

  b) y = 60

Step-by-step explanation:

a) The equation for a proportional relationship is ...

  y = kx

We can use the given values for x and y, and solve for k:

  k = y/x = 30/6 = 5

The equation is ...

  y = 5x

__

b) For x=12, the value of y is ...

  y = 5·12

  y = 60

Answer:

A (4,6)

ok im going to go through this step by step

4(4)=3(6)-2

16=18-2

16=16 (true solution)

18=3(4)+(6)

18=12+6

18=18 (true solution)

Answer:

El chef necesitará 154 patatas.

El gasto total será 311.5 €

Step-by-step explanation:

Un chef tiene 24 patatas. Si necesita 178 patatas para la cena de Navidad. ¿Cuántas patatas va a necesitar ahora?

Para calcular la cantidad de patatas que el chef necesita debes hacer la diferencia entre la cantidad de patatas requeridas para la cena de Navidad y la cantidad de patatas que el chef ya tiene. Esto es:

178 -24=  154 patatas

El chef necesitará 154 patatas.

Luego le informan de que necesita 89 chuletones asados con mantequilla. Si cada chuletón cuesta 3 € y la unidad de caja de mantequilla 50 cts y necesita una caja para cada chuletón. ¿Cuánto se va a gastar en total?

Ahora el chef necesita 89 chuletones asados con mantequilla, y necesita una caja de mantequilla para cada chuletón. Por lo que necesita 89 chuletones y 89 cajas de mantequilla.

Si cada chuletón cuesta 3 € y la unidad de caja de mantequilla 50 cts (equivalentes a 0.5 €), entonces el gasto total será calculado como:

89 chuletones* 3 € + 89 cajas de mantequilla* 0.5 €= 311.5 €

El gasto total será 311.5 €

Answer:

the answer is 20x^4

Step-by-step explanation:

too long to explain, simple answewr

Answer:

Step-by-step explanation:

6(2x- 5)= 15x+3     expand

12x - 30 = 15x + 3  combine similar terms

12x - 15x = 30 + 3  simplify

-3x = 33                 divide -3 both sides

x = 33 / -3             simplify

x = -11  

Answer:

(2 , 0)

I solved this using the comparison method ;)

Answer:

y=4×+6=56

56×65

45×34=

2×-4=67

Answer:

2. yes, the person is walking faster between 40 and 100 seconds

Step-by-step explanation:

I'm very sorry I don't know about the first one that's a little above my knowledge level :(

Answer:400,000

Step-by-step explanation:If it doubles every 12 hours then the first 13 gone be 200,000 then 12 hours later it gone 400,000