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2 years ago

I need help with this

Mathematics

1 answer:

kirill [66]2 years ago

4 0

Answer:

Step-by-step explanation:

The triangles are congruent. Also, a triangle has a sum of 180 degrees for its interior angles.

Angles D and A are both unknown.

Angles O and P are both 55.

Angles G and W are both 37.

37+55 = 92

That means there would be 88 degrees left for the unknown angle to get to the total of 180 degrees.

92 + 88 = 180

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You are studying for your final exam of the semester. up to this point,you recieved 3 exam scores of 83%,85%, and 84%. to reciev

tamaranim1 [39]

<span>[68,100]

This will allow you to get a B score.

To solve find the medium by adding the values divided by 4, solve for the unknown of the final exam, with the minimum value equalling 80, this will give you 68.</span>

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3 years ago

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Rod is paid $85 to install a screen door and $115 to install a wooden door. In one week he installed 18 doors and was paid a tot

Rainbow [258]

Answer:Rod installed 7 screen doors

Step-by-step explanation:

Step 1

Let the number of screen door = x

And the number of wooden doors = y

since he installed 18 doors , we have that

screen door + wooden doors = 18

x + y = 18------ equation 1

Also the cost to install a screen door -= $85

and to install a wooden door = $115

And he was therefore paid a total of $1850

Therefore

85x + 115 y = $1860------- equation 2

Step 2----- Solving

x + y = 18------ equation 1

85x + 115 y = $1860------- equation 2

Multiplying equation 1 BY 85

85x + 85y= 1530------- equation 3

85x + 115 y = $1860------- equation 4

subtracting from equation 1 from (2)

115y- 85y= 1860-1530

30y=330

y = 330/30 = 11

To find x

x+ y=18

x= 18-y

x= 18-11= 7

Rod installed 7 screen doors and 11 wooden doors.

8 0

3 years ago

Let A = { x ∈ R : x 2 − 5 x + 4 ≤ 0 } , B = (3 , 5), and C = (3 , 4]. Show that A ∩ B = C . (Recall, you must show two separate

kolbaska11 [484]

Answer:

You can proceed as follows:

Step-by-step explanation:

First solve the quadratic inequality $x^{2}-5x+4\leq 0$ . To do that, factorize, then we have that $(x-4)(x-1)\leq 0$ . This implies that

$x-1\leq 0\, \text{and}\, x-4\geq 0$

$x-1 \geq 0\, \text{and}\, x-4\leq 0$

In the first case the solution is the empty set $\emptyset$ . In the second case the solution is the interval $1\leq x \leq 4$ . Now we have that

$A=[1,4]$

$B=(3,5)$

$C=(3,4]$ .

To show that $A\cap B\subseteq C$ consider $x\in A\cap B$ . Then $1\leq x \leq 4\, \text{and}\, 1$ , this implies that $3$ , then $x\in C$ . Now, to show that $C\subseteq A\cap B$ consider $x\in C$ , then $3$ , then $1\leq x \leq 4\, \text{and}\, 3$ , then $x\in [1,4] \, \text{and}\, x\in (3,5)$ , this implies that $x\in A\cap B$ .

Observe the image below.

7 0

3 years ago

Caleb's car used 8 gallons to travel 144 miles. How far can he travel on 20 gallons

V125BC [204]

Answer:

He will travel 360 miles.

Step-by-step explanation:

Divide 144 by 8. Then multiply your answer by 20.

7 0

3 years ago

Find the value of x. Round to the nearest tenth.

Svet_ta [14]

Right triangle means:
sin, cos, and tangent

Here, we can see that:
sin 35° = $\frac{x}{20}$

Simplify.

20sin 35° = x

Multiply 20 by sin of 35 degrees.

x = 11.47(ROUNDED)

Answer: Choice C

8 0

3 years ago

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