Fill in the blanks of the Symbol column of the table from top to bottom.
The correct answers are:$$A\Sigma\Phi$$$$\leftarrow$$$$\rightarrow$$
Which of these is a necessary step in Pedro’s proof?
C Explanation
Which of the following is not equivalent to this expression? * 2m + 10m + 14 + 3
Direct answer: The expression simplifies to 12m + 17, so any choice not equal to 12m + 17 (for example 12m + 7) is NOT equivalent. Identify like terms and combine: Combine the m-terms: $$2m + 10m = 12m.$$ Combine the constant terms: $$14 + 3 = 17.$$ Write the simplified result: $$2m + 10m […]
△ FGH is a right triangle.
I need more information — what exactly do you want to find about triangle FGH? Below I’ll list the common things one is usually asked about a right triangle and show full solution methods (with examples) so you can tell me which applies to your problem or supply the missing data (side lengths, an angle, […]
Find the slope of the line graphed below.
Answer first: I can’t determine the numeric slope because the graph itself wasn’t attached — please upload the graph image or tell me two clear points on the line (for example (x1,y1) and (x2,y2)). Meanwhile, here is exactly how to find the slope from a graphed line plus worked examples so you can finish this […]
Write the name of the period that has the digits 913.
The correct answer is: the ones (units) period. Explanation and steps: Definition of a period: In place-value notation, digits are grouped into periods of three (starting from the right). The standard period names from right to left are: Ones (units) period — rightmost three digits Thousands period — next three digits to the left Millions […]
The circle graph above gives the distribution of salad dressing chosen by customers at a restaurant. If approximately 200 customers order salad each day at the restaurant, which of the following is closest to the difference per day between the number who choose Italian dressing and the number who choose Vinaigrette dressing?
$$30$$ Explanation
Express your answer as a signed integer. For example, 2 + or 1 –
The problem statement is missing — please provide the math question. When you do, I will give the signed integer result using the format you requested (e.g., “2 +” for +2, “1 -” for -1). Explanation and formatting rules The format you showed places the sign after the magnitude: a space, then + or -. […]
What value of a, in degrees, will refute Jennifer’s claim?
I can’t determine a specific value yet — please upload the full problem (Jennifer’s claim and the diagram or equations). Without that information I can’t give a definite value of a in degrees that refutes her claim. Explanation and how I’ll refute it once you provide the problem What I need from you: the exact […]
Write the following function in terms of its cofunction. Assume that all angles in which an unknown appears are acute angles. sin (θ + 25°) (Simplify your answer. Do not include the degree symbol in your answer.)
The correct answer is: $\cos(65-\theta)$ Explanation We use the cofunction identity for sine and cosine (angles in degrees):$\sin x=\cos(90-x)$. Steps: Let $x=\theta+25$. Apply the identity: $$\sin(\theta+25)=\cos(90-(\theta+25))$$ Simplify inside the cosine: $$\cos(90-(\theta+25))=\cos(90-\theta-25)=\cos(65-\theta)$$ Therefore $\sin(\theta+25)=\cos(65-\theta)$. (As a check, using the evenness of cosine one may also write $\cos(65-\theta)=\cos(\theta-65)$, so both forms are equivalent.) Summary: By the cofunction […]